Wood Stove Heat Distribution

By: Will Plachno

Mrs. Seigrist’s Class

Grade 6

List of Figures

Figure #	Description	Page #
1	Diagram of the family room	3
2	Heat exchanger diagram	4
3	Test Apparatus diagram	5
4	Stamp commands in BASIC	7
5	Stamp operators and functions	8
6	Schematic	9
7	Switch position table	10
8	Stamp pin connections table	10
9	Printed circuit board picture	11
10	Thermometer board picture	12
11	Stamp board connected to center board picture	12
12	Stamp board picture	13
13	List of materials	13
14	Thermometer selection	15
15	LCD display locations	15
16	Code for reading the thermometers	16
17	Code for uploading the data	17
18	Code for initializing the plot software	18
19	Temperature conversion table	18
20	Horizontal position picture	23
21	First vertical position picture	23
22	First experiment activity table	24
23	Horizontal experiment graph	24
24	Plot color legend	25
25	Horizontal experiment data table	25
26	Second experiment activity table	37
27	First vertical experiment graph	37
28	First vertical experiment data table	38
29	Third experiment activity table	49
30	Second vertical experiment graph	49
31	Second vertical experiment data table	50
32	Floor to ceiling temperature difference table	61
33	Temperature change rate table for the horizontal run	62

Purpose

The purpose of this experiment is to find out how to distribute the heat from a wood stove (fireplace) through out the room evenly.

Background Research

Figure 1.

Explanatory Figure Showing

the Layout of the Family Room

Where the Measurements

Were Taken.

Figure 1 shows the layout of the family room, which is where the measurements were taken. It is very important to know where drafts may enter the room. The fireplace is a Waterford Trinity MKII Woodstove[1] that has a heat exchanger fan built into it. It can have a maximum of 55000 BTU’s (British Thermal Units; the amount of energy needed to raise the heat of one pound of water one degree Fahrenheit[2]) per hour. The ceiling fan is a Hunter Model #: 23710 [3]. The shape of the room looking at it from the kitchen is a pentagon where the top is a lopsided “V”. The very top is 16’. The ceiling fan hangs slightly lower then 12’ off of the ground.

I didn’t find any other web pages that had actual temperature measurements for the ceiling fan and the heat exchanger combination. We all know warm air rises. Air that is heated becomes less dense. The air that is not heated has more pressure then the heated air, causing the cold air to become heavier[4]. This causes the cold air to sink and the warm air to rise. Usually, references do not measure the before and after temperatures of the effect of the ceiling fan. Sometimes they state that the thermostat can be lowered by 5-10 degrees[5]. Other references talk about using ceiling fans with a temperature difference between the ceiling and the floor being greater then 5 degrees Fahrenheit[6].

Figure 2. Heat Exchanger

Figure 2 shows how the heat exchanger works. The fan blows clean air over the top of the woodstove. The top of the woodstove is the hottest and heats the air. This greatly increases the amount of heat transferred into the room.[7]

Hypothesis

If a lot of the heat generated from the wood stove is lost by the heat rising, then the ceiling fan shall push it back down and help more then the other fan to distribute the heat.

Materials

For my experiment I built a test apparatus to automatically measure the temperature from 8 evenly spaced thermometers. As shown in figure 3 the thermometers are spaced 1.5 feet from each other attached to a twelve-foot stick. The thermometers are integrated circuits, each on their own printed circuit board. The top 4 thermometers (0-3) and the bottom 4 thermometers (4-7) are each individually wired to the center circuit board. The whole mission is carried out by a microprocessor called a Stamp. The Stamp reads the temperatures and stores the values in a memory. When done the Stamp can be disconnected from the apparatus and hooked up to a PC so that the data can be transferred and plotted.

Figure 3.

Test Apparatus.

THE STAMP

A Stamp is a microprocessor that may be used to control minor tasks by being programmed. I first learned how to program these microcomputers late last summer. I found it not only easy to use, but intriguing. Stamps are made by a company called Parallax [8]

Stamps are programmed in a language called BASIC. In order to program it, you need a PC. For the stamp, you write the program on the PC and press run and it will start executing immediately. Once you have pressed run, it will save the program in the stamp so that to run it again you only have to press the reset button. This reset button is located on the stamp board. On the stamp board there are 16 pins that are used to communicate to the other chips or other hardware. It was through these pins that I connected the thermometers, the switches, and the memory chip.

Figure 4 is a list of BASIC commands for the BS2P stamp which I used. Figure 5 is a list of all the operators and functions.[9] This is pretty much a complete list of all the stamp commands that can be used in a program.

The BS2P stamp has more commands then some of the earlier stamps. It has advanced commands to read and write to the thermometers, memory, and LCD display that I used in my project. SHIFTIN and SHIFTOUT are the commands that I used for the thermometers. The I2CIN and I2COUT are used to read and write to memory. LCDCMD and LCDOUT are used to write to the LCD.

There are sample stamp programs that you can find on the net and in books for all of the parts that I used. One really nice website is Stamps In Class.[10] They have books for teaching kids how to use the stamp. For using the thermometers, there is a student workbook called Earth Measurements that I found helpful. Chapter 1 explains how the DS1620 digital thermometers work and provides sample programs and schematics.

DS1620

The DS1620 (the thermometer) has 8 pins and is made by Dallas Semiconductor. It has a resolution of 0.5 Deg C. The value that is read is 2 * Deg C. Data is read or written through a 3 wire serial port. The same data wire and clock wire may be connected together to all the thermometers. The third pin is used to select which thermometer is being used.

The thermometer chip has some intelligence built in. Once the stamp tells the thermometer to read the temperature, it will do so once every second. The thermometer reads the temperature every second and writes to its own memory this value, but it is only sent to the stamp when the stamp tells it to. The stamp is the master and the thermometer is the slave.

Figure 4. BS2P Stamp BASIC Commands

Branching IF…THEN Compare and conditionally branch. BRANCH Branch to address specified by offset. GOTO Branch to address. GOSUB Branch to subroutine address RETURN Return from subroutine. RUN Switch execution to another program page POLLRUN Polled interrupt call Looping FOR…NEXT Establish a FOR-NEXT execution loop. EEPROM Access DATA Data storage in EEPROM. READ Read EEPROM byte into variable WRITE Write byte to EEPROM STORE Switch program slot for access RAM Access GET Read Scratch Pad RAM byte into variable PUT Write byte to Scratch Pad RAM Numeric LOOKUP Lookup data in a table LOOKDOWN Table match to variable RANDOM Generate a pseudo-random number. Digital I/O INPUT Make an I/O pin an input. OUTPUT Make an I/O pin an output. REVERSE Reverse the direction of a pin. LOW Force an I/O pin low. HIGH Force an I/O pin high. TOGGLE Toggle an I/O pin output value. PULSIN Measure an input I/O pin pulse. PULSOUT Output a pulse on an I/O pin. BUTTON Debounce button and branch on value. COUNT Count the cycles on a pin. XOUT Output a X-10 home automation command. AUXIO Activate auxiliary I/O pin group.

Digital I/O (cont.) MAINIO Activate main I/O pin group. IOTERM Activate specified I/O pin group. POLLOUT Specify pin for polled interrupt. POLLMODE Specifies the polled interrupt mode. Asynchronous Serial I/O SERIN Input asynchronous serial data. SEROUT Output asynchronous serial data. OWIN Input data from a one wire device. OWOUT Output data to a one wire device. Synchronous Serial I/O SHIFTIN Input synchronous serial data. SHIFTOUT Output synchronous serial data. I2CIN Input data from a I2C device. I2COUT Output data to a I2C device. Parallel I/O LCDCMD Writes a command to an LCD. LCDIN Reads data from an LCD. LCDOUT Writes data to a LCD. Analog I/O PWM Output pulse width modulation. RCTIME Measure RC charge/discharge time. Time PAUSE Pause execution for specified milliseconds POLLWAIT Pause until a polled interrupt occurs. Sound FREQOUT Generate 1 or 2 sine wave frequency outputs. DTMFOUT Generate DTMF telephone tones. Power Control NAP Nap for a period to conserve power. SLEEP Sleep for the specified seconds to conserve power. END Sleep until the power cycles or the PC connects. Program Debugging DEBUG Print values back to the PC for debugging.

Figure 5. Stamp BASIC Operators and Functions

Expression Operators + Addition - Subtraction * Multiplication ** Multiplication (returns upper 16 bits) */ Multiply by 8-bit integer, 8 bit fraction / Division // Modulus (remainder of division) MIN Limits a value to a specified low MAX Limits a value to a specified high DIG Returns a specified digit of a number << Shift bits left by specified amount >> Shift bits right by specified amount REV Reverse specified number of bits & Bitwise AND | Bitwise OR ^ Bitwise XOR	Variable Modifiers LOWBYTE low byte of a word HIGHBYTE high byte of a word BYTE0 byte 0 (low byte) of a word BYTE1 byte 1 (high byte) of a word LOWNIB low nibble of a word or a byte HIGHNIB high nibble of a word or byte NIB0 nibble 0 of a word or byte NIB1 nibble 1 of a word or byte NIB2 nibble 2 of a word NIB3 nibble 3 of a word LOWBIT low bit of a word, byte, or nibble BIT0...BIT3 bit 0 through bit 3 of a word, byte, or nibble BIT4...BIT7 bit 4 through bit 7 of a word or byte BIT8…BIT15 bit 8 through bit 15 of a word
	RAM Organization word byte nibbles INS INL INA, INB INH INC, IND OUTS OUTL OUTA, OUTB OUTH OUTC, OUTD DIRS DIRL DIRA, DIRB DIRH DIRC, DIRD W0 B0 B1 …<same for W1, W2, W3, etc through W12> W12 B24 B25
Unary Operators ABS Returns absolute value COS Returns cosine in two’s compliment binary radians DCD 2^n-power decoder ~ Inverse - Negative NCD Priority encoder of a 16-bit value SIN Returns sine in two’s compliment binary radians SQR Returns square root of value

24LC32A

This is the memory chip that was used. This memory is called an EEPROM, which really means that it will remember the data even after the power is off. It is made be MicroChip Inc. This is a 4K x 8-memory chip. 4K does not mean 4,000. K really means 2¹⁰ or 1024 so 4K really means 4,096. Every temperature reading is 8 bits or a byte, so I can store up to 4,096 temperature readings. Actually I only store 4000 temperature readings since I measure 8 different thermometers at 500 different points in time.

This communicates to the stamp through a two-wire interface also called an I²C interface[11]. There is still a data and still a clock wire but there is no selector wire. This chip has three address pins: a2 a1 a0, which I set to 001. There is another I²C part (the selector) but its address is 000.

PCF8574

This is the selector chip. This chip is an I²C part just like the memory, so they share the same data and clock pins. All this chip does is it gives you 8 additional programmable pins. I used these pins to select which thermometer is being read. These outputs are the third wire of the DS1620 third wire interface.

Figure 6. Schematic

Hardware Design

Shown in figure 6 is the schematic. Thermometers 0-3 are on a different three-wire bus then 4-7. If all eight thermometers were on the same bus (data/clock wires) it would weigh too much (too much capacitance) and it might severely slow it down.

Figure 7. Switch Positions

(P15) switch 1	(P14) switch 2	Description.
On	On/Off	you upload to the PC
Off	On	Taking the temperature (and putting it into memory)
Off	Off	Reading but not storing the value

Figure 7 says that there are 2 switches and what they do in each position.

The connection to the LCD display is not shown in the schematic. The stamp board has a built in connecter for the LCD so I didn’t have to wire anything to that.

Figure 8. Stamp pin connections

Stamp pin	Connection	Stamp pin	Connection
15	Upload switch	7	D3 LCD
14	Temp Read switch	6	D2 LCD
13	Clock 4-7	5	D1 LCD
12	Data 4-7	4	D0 LCD
11	Clock 0-3	3	Reg Select LCD
10	Data 0-3	2	R/W LCD
9	Clock I^2C	1	Enable LCD
8	Data I^2C	0	Unused

Figure 8 shows all the connections to the stamp pins.

The Printed Circuit Board

I had to make a center board and 8 thermometer boards. Using ExpressPCB[12] I put them all on one board and cut them out. The red lines are the metal connections on the top of the board and the green wires are the connections on the bottom of the board.

Figure 9. Printed Circuit Board

Each board has a hole for a #6 woodscrew to attach it to the apparatus. There are other holes in the board for soldering the wires. These holes are labeled D, C, G, or V. D is for the data wire, C is the clock wire, G is the ground wire, and V stands for voltage supply. All of them are passed on to the center board by wiring each letter to its counterpart.

I added capacitors across the power supply. Capacitors don’t want the voltage across them to change. Thus, these capacitors keep the V and G wires quiet.

There are 8 holes in the center board to connect wires to the stamp. There are also 8 blue wires that connect from the selector to each thermometer board.

Figure 10.

One of the Thermometer Boards.

Figure 11.

The Stamp Board Hooked up to

the Center Board

The Stamp Board

The stamp board I used is the BS2p demo board. It contains a little bread board that can be used to hook the stamp up to a component. The bread board for this experiment only has 2 things on it: the switches and the memory. To upload data, you have to have the switches (so that you can tell it to upload) and the memory (to get the data from).

Figure 12.

The Stamp Board with

the Switches Set to 01

Material List

Figure 13. List of Materials

Quantity	Name
1	BS2p Basic Stamp
8	DS1620
1	24LC32A
1	PCF8574
1	4 switch DIP switch
1	Parallel LCD display
1	BS2p demo board
2	10K resistors
8	1K resistors
10	0.1uF disc capacitors
1	12’ pole

The Software Program

The program is done on Windows (on a PC) with a program called Stampw[13]. You have to connect the stamp with a serial port to the PC. It is programmed in BASIC. The software has three main parts, the header, the main program, and the subroutines.

The header is not made up of step by step instructions like you usually see. It consists of details the rest of the program needs. It contains three sections, the constants, pin direction settings, and variable declarations. The constants are basically only putting a name on the addresses used for the memory chip or the selector chip. The next section tells which of the stamp’s 16 pins are inputs or outputs. The variable definitions are next. This defines whether a variable is a byte or a word. The max number a byte can use is 255. To have a variable of 500, you need to use a word, which is 16 bits.

There are 9 different subroutines, select, deselect, writeto, redf, getth, gettl, lcdtime, lcddata, and innit. Using the subroutines makes the main program more readable because it handles all the difficulties of reading and writing the chips.

Getth and Gettl

They both are used to get the temperature. The only reason they are not the same is because of the way the apparatus is built, with 4 on the top and 4 on the bottom. The thermometer reads the temperature every second, but the stamp tells it when to send what the temperature is. The shiftout instruction is a command to the DS1620 to tell it to send the temperature value. The shiftin instruction reads the data. This was taken from an example from Earth Measurements[14].

Select and Deselect

These two subroutines write to the selector chip, PCF8574. The select command selects one of the eight thermometers. Deselect makes sure none of the thermometers are selected. Figure 14 shows how the thermometers are selected. The variable nthm tells you which blue wire should be set to 1. The instruction line “j = 1 << nthm” generates the values for this table. It shifts the value 1, nthm number of times (example= if nthm = 3, j = 00001000).

The instructions for writing the PCF8574 were taken from a sample program on the Internet.[15]

Figure 14. Thermometer Selection

Nthm	Therm 7	Therm 6	Therm 5	Therm 4	Therm 3	Therm 2	Therm 1	Therm 0
0	0	0	0	0	0	0	0	1
1	0	0	0	0	0	0	1	0
2	0	0	0	0	0	1	0	0
3	0	0	0	0	1	0	0	0
4	0	0	0	1	0	0	0	0
5	0	0	1	0	0	0	0	0
6	0	1	0	0	0	0	0	0
7	1	0	0	0	0	0	0	0

Writeto and Redf

These read and store values in the memory. An address is where in a memory you want to store it. The 24LC32A can store up to 4,096 bytes. This was also taken from an example on the Internet.[16] After the temperature is taken, it needs a pause to store it in memory. There is an option not to take the temperature if the switches are set to 00.

LCDtime and LCDdata

These output the temperature and the time point to the LCD. For each thermometer, the command LCDdata has to calculate where to put the temperature. The LCD I’m using has 16 characters on two lines. Figure 15 shows the addresses for the characters with the locations of the time point and thermometer values shaded.

Figure 15. LCD Display Locations

128	129	130	131	132	133	134	135	136	137	138	139	140	141	142	143
192	193	194	195	196	197	198	199	200	201	202	203	204	205	206	207

The time point is located at 128 as a decimal value 3 characters wide. For the thermometer values, if its on the first line you start on address 128 or if it is on the second line you start on 192. Then you skip over 5 values to get to the first thermometer. Then the following are spaced 3 from the one in front of it. Each temperature value is output as a decimal value 2 characters wide.

Sample program instructions for the LCD display was taken from Basic Stamp Manual Version 2.0.[17]

Innit

This subroutine initializes all the chips. The initialization for the LCD I got from examples off the Internet.[18] They said not to change anything, so I didn’t.

The 8 thermometers also require initialization. They must be told to start taking the temperature.[19]

The plot software will also be initialized, but well talk about that later. This subroutine also sets 2 variables to their initial values. The memory address must be set to 0. Also the default is not to write to memory.

The Main Program

There are three sections, the switches, reading the thermometers, and uploading the data.

Switches and Reading Them

If the first switch is on, upload the data to the PC. If the first is off and the second is on then it will read the temperature. For the switch pins, you have a resistor connecting to ground, and the switch connecting to 5v. If the switch is off, then the resistor pulls it to ground, a logical 0. If the switch is on, the pin is forced to 5v, a logical 1, completely over-powering the resistor. In the program, “in15” is pin 15, and “in14” is pin 14. “if in15 = 1 then datat”, this says that if the top switch equals 1, then it will transfer the data to the PC.

Reading the Thermometers

Figure 16. Code for Reading the Thermometers

thermr:

' This reads the data from the therms. Read 8 therms every 15 seconds.

' 500 total time points. 8 x 500 = 4000 data points.

for x = 0 to 499 ' loop through 500 time points

gosub lcdtime ' display time point x on LCD

for nthm = 0 to 3 ' do bottom 4 therms

gosub gettl ' read temp

gosub writeto ' writes to memory

gosub lcddata ' display temp on LCD

next

for nthm = 4 to 7 ' do top 4 therms

gosub getth ' read temp

gosub writeto ' writes to memory

gosub lcddata ' display temp on LCD

next

pause 14200 ' pause 15 seconds

next

stop

Thermr reads the thermometers and writes the values to memory. The for-next statements create loops. Loops repeat the commands that are located between the for and the next a specified number of times. You need to create two loops, one for the top 4 and one for the bottom 4 thermometers because each have there own subroutines. Since I take the temperature every 15 seconds, I have to tell it to wait 15 seconds before the next time point. The pause instruction will wait the specified number in milliseconds. It only says 14200 milliseconds because of the wait to write the values to memory, which is 100 milliseconds. You might have noticed that 14200 + 100 is only 14300, but you have to do this (100 x 8) + 14200 = 15000, or 15 seconds.

Uploading the Data

I used a program called StampPlot Pro[20] to transfer the data to the PC and plot it out. After you’re done taking measurements, move it to the PC and hook it up. Then start up the StampPlot Pro program and click the handshake icon.

Instead of having StampPlot Pro calculate the x-axis, I had to use an optional feature called “historical data”. This needs all 8 thermometers to be transferred on one line with the data separated by commas.

Figure 17. Code for Uploading the Data.

datat:

' Transfers data to PC

' Stamp is connected to the PC through the serial port

' Stamp outputs to serial port using the debug command

' Stampplot Pro is the program on the PC

' It requires the 8 temps on 1 line separated by commas

for x = 0 to 499 ' loop through 500 time points

debug "!HISD 15" ' Historical data 15 seconds apart

for nthm = 0 to 7 ' do all therms on one line

gosub redf ' reads from memory

degC = t / 2 ' converts reading into degree C

debug ", ", dec degC ' output decimal value

i= t & %00000001 ' looks only at last digit (in binary)

if i = 0 then tdone ' if last digit is 0 then done

debug ".5" ' if last digit is 1 then output .5

tdone:

next

debug cr ' output end of line

next

stop

The BASIC stamp command “debug” is used to write to the PC. I used multiple debug commands to write one line and then finish the line with a “CR” or carriage return. One problem I had was that the temperature value is 2 x DegC. I had to translate this whole value into a floating-point number in degree Celsius. First you divide by 2 then if bit 0 of the byte is 1 then print “.5”.

In my BASIC stamp program you can send commands to the plot software. These commands are in the innit subroutine.

Figure 18. Code for Initialization of the Plot Software

Innitialize plot software

debug "!RSET",cr ' reset the plot

debug "!Plot on",cr

debug "!TITL 8 Thermometer Plot",cr

debug "!YLBL Temp = degree C", cr

debug "!XLBL Minutes", cr

debug "!AMAX 40",cr ' maximum y value

debug "!AMIN 10",cr ' minimum y value

debug "!TDIV 60",cr ' time in minutes

debug "!TMAX 125",cr ' maximum x value

debug "!COLR G9",cr ' change grid color

debug "!PNTS 5000",cr ' 5000 data points max

debug "!HISS",cr ' historical data format

I set the minimum of the y axis to 10 and the maximum to 40 degree Celsius. For those people who like Fahrenheit more then Celsius, I have provided a conversion table.

Figure 19. Temperature Conversions[21]

Deg Celsius	Deg Fahrenheit
40	104
35	95
30	86
25	77
20	68
15	59
10	50

Complete BASIC Stamp Program Listing

'{$STAMP BS2p}

' Written by Will Plachno

' Subroutines written on 11/4/01

' Will goes to Loma Preita, C.T. English,

' Science teacher is Juli Seigrist

'''''''''''''''''''''''''''''''''''''''''

' I/O pin definitions and other constants

'''''''''''''''''''''''''''''''''''''''''

I2Cpin con 8 ' SDA = 8, SCL = 9

Wr8574 con $40 ' 8574 address at 000

Rd8574 con $41

dir8574 con $00 ' all I/O pins are outputs

Wr2432 con $A2 ' 2432 address at 001

Rd2432 con $A3

''''''''''''''''''''''''''''

' I/O pin direction settings

''''''''''''''''''''''''''''

input 15 'switch for transfering data

input 14 'switch for reading therms

output 13 'DS1620 clock therms 4-7

output 12 'DS1620 data therms 4-7

output 11 'DS1620 clock therms 0-3

output 10 'DS1620 data therms 0-3

output 9 'I2C clock

output 8 'I2C data

'''''''''''''''''''''''

' Variable declarations

'''''''''''''''''''''''

t var byte ' temp

degC var byte ' temperature in Celsius

x var word ' time points 0-499

nthm var byte ' therm number 0-7

i var byte ' gen purpose variable

j var byte ' gen purpose variable

k var byte ' gen purpose variable

addr var word ' 2432 EEPROM address 0-3999

addrHi var addr.HighByte ' high byte of mem address

addrLo var addr.LowByte ' low byte of mem address

no_write var byte ' flag for not writing memory

'''''''''''''''''''''''

' Main Program

'''''''''''''''''''''''

gosub innit ' do initialization

if in15=1 then datat ' if switches = 1x transfer data

if in14=0 then thermr ' if switches = 00 read therms, no write

no_write = 0 ' if switches = 01 read therms, write

thermr:

' This reads the data from the therms. Read 8 therms every 15 seconds.

' 500 total time points. 8 x 500 = 4000 data points.

for x = 0 to 499 ' loop through 500 time points

gosub lcdtime ' display time point x on LCD

for nthm = 0 to 3 ' do bottom 4 therms

gosub gettl ' read temp

gosub writeto ' writes to memory

gosub lcddata ' display temp on LCD

next

for nthm = 4 to 7 ' do top 4 therms

gosub getth ' read temp

gosub writeto ' writes to memory

gosub lcddata ' display temp on LCD

next

pause 14200 ' pause 15 seconds

next

stop

datat:

' Transfers data to PC

' Stamp is connected to the PC through the serial port

' Stamp outputs to serial port using the debug command

' Stampplot Pro is the program on the PC

' It requires the 8 temps on 1 line separated by commas

for x = 0 to 499 ' loop through 500 time points

debug "!HISD 15" ' Historical data 15 seconds apart

for nthm = 0 to 7 ' do all therms on one line

gosub redf ' reads from memory

degC = t / 2 ' converts reading into degree C

debug ", ", dec degC ' output decimal value

i= t & %00000001 ' looks only at last digit (in binary)

if i = 0 then tdone ' if last digit is 0 then done

debug ".5" ' if last digit is 1 then output .5

tdone:

next

debug cr ' output end of line

next

stop

' Subroutine select

' This selects 1 of the 8 thermometers

' This requires the variable nthm

' nthm is the thermometer number 0-7

' Temporary variable j is also used

select:

j= 1 << nthm

i2cout I2Cpin, Wr8574, dir8574, [j]

return

' Subroutine deselect

' This deselects all 8 thermometers

' This does not require any input variables

deselect:

i2cout I2Cpin, Wr8574, dir8574, [0]

return

' Subroutine writeto

' This stores a value in memory

' This requires variable t

' t is the temperature value stored in memory

' You also need the address addr

writeto:

if no_write = 1 then xwrite

i2cout I2Cpin, Wr2432, addrHi\addrLo, [t]

addr = addr + 1

pause 100

xwrite:

return

' Subroutine redf

' This reads a value from memory

' This requires variable t

' t is the temperature value read from memory

' You also need the address addr

redf:

i2cin I2Cpin, Rd2432, addrHi\addrLo, [t]

addr = addr + 1

return

' Subroutine getth

' This reads a value from a thermometer (4-7)

' This requires variable t and the nthm

' t is the temperature value read

' nthm is the number of the thermometer

' DS1620 Data pin is 12

' DS1620 Clock pin is 13

getth:

gosub select

shiftout 12, 13, lsbfirst, [170] 'ask for data

shiftin 12, 13, lsbpre, [t] 'read data

gosub deselect

return

' Subroutine gettl

' This reads a value from a thermometer (0-3)

' This requires variable t and the nthm

' t is the temperature value read

' nthm is the number of the thermometer

' DS1620 Data pin is 10

' DS1620 Clock pin is 11

gettl:

gosub select

shiftout 10, 11, lsbfirst, [170] 'ask for data

shiftin 10, 11, lsbpre, [t] 'read data

gosub deselect

return

' Subroutine lcdtime

' This outputs the time point to the LCD

' This requires variable x

' x is the time point your measurement is on (0-500)

lcdtime:

lcdout 0, 128, [dec3 x]

return

' Subroutine lcddata

' This outputs the temperature to the LCD

' This requires variable t and the nthm

' t is the temperature value written

' nthm is the number of the thermometer

' Temporary variable j is also used

' Temporary variable k is also used

lcddata:

k= nthm

j= 128 ' starting position of the first line

if nthm<4 then thrmspc

j= 192 ' starting position of the second line

k= nthm -4 'the k'th data online

thrmspc:

k=k*3 '3 digits per thermometer

j=j+5+k '+5 from beginning of the line

lcdout 0, j, [dec2 t]

return

' Subroutine innit

' This initializes all the chips

innit:

' This is the LCD display initialization

pause 1000

lcdcmd 0, %00110000 ' 1st wake up

pause 10

lcdcmd 0, %00110000 ' 2nd wake up

pause 1

lcdcmd 0, %00110000 ' 3rd wake up

pause 1

lcdcmd 0, %00100000 ' 4 bit data bus

pause 1

lcdcmd 0, %00001100 ' display on, no cursor or blink

pause 1

lcdcmd 0, %00101100 ' 2 display lines, 5x10 font

pause 1

lcdcmd 0, %00000001 ' clear display, move cursor home

' This is the thermometer innitialization

for nthm=0 to 3

gosub select

shiftout 10, 11, lsbfirst, [238] 'start taking temperature

next

for nthm=4 to 7

gosub select

shiftout 12, 13, lsbfirst, [238] 'start taking temperature

next

gosub deselect

pause 2000 ' wait for first temp reading

' Innitialize plot software

debug "!RSET",cr ' reset the plot

debug "!Plot on",cr

debug "!TITL 8 Thermometer Plot",cr

debug "!YLBL Temp = degree C", cr

debug "!XLBL Minutes", cr

debug "!AMAX 40",cr ' maximum y value

debug "!AMIN 10",cr ' minimum y value

debug "!TDIV 60",cr ' time in minutes

debug "!TMAX 125",cr ' maximum x value

debug "!COLR G9",cr ' change grid color

debug "!PNTS 5000",cr ' 5000 data points max

debug "!HISS",cr ' historical data format

no_write = 1 ' default is no write to mem

addr = 0 ' start at mem address 0

return

end

Procedure

1. Position the thermometer apparatus, set switches to 00

2. start fire in the fireplace

3. set switches to 10, hit reset (starts taking measurements)

4. on measurement 175, turn on heat exchanger

5. on measurement 350, turn on ceiling fan

6. set switches on 00 disconnect power

7. take memory to PC, connect cable

8. set switches to 01, press connect on Stamplot Pro
(this transfers the measurements to the PC)

9. save data to a file, copy plot to report

Repeat above procedure for both the horizontal and vertical positions.

Figure 20.

Horizontal position

Figure 21.

First Vertical position

Results

For the first experiment, the apparatus was positioned horizontally with thermometer 0 closest to the furnace.

Time Point	Minutes	Activity
0	0	Started measurements and the fire
137	34.5	Put another log in the fire
175	44	Turned on the Heat Exchanger fan
223	56	Put another log in the fire
343	86	Put in another log in the fire
352	88.25	Turned on the Ceiling Fan
420	105.25	Put another log in the fire
472	118.25	Pushed all the wood together

Figure 22.

First

Experiment

Activity

Figure 23. The Graph of the Horizontal Position Measurements

Thermometer	Color	Thermometer	Color
0	Black	4	Dark Red
1	Dark Blue	5	Purple
2	Dark Green	6	Gold
3	Turquoise	7	Grey

Figure 24.

Plot Color Legend

Figure 25.

Horizontal run results. Time is in minutes. Temperature is in Celsius.

x time thermometers 0,1,2,3,4,5,6,7

000 0.25 15.5, 15, 15, 15.5, 16, 15.5, 15.5, 16.5

001 0.50 16, 15.5, 15, 15.5, 16, 16, 15.5, 16.5

002 0.75 16, 15.5, 15, 15.5, 16, 16, 15.5, 16.5

003 1.00 16, 15.5, 15.5, 15.5, 16.5, 16, 15.5, 16.5

004 1.25 16, 15.5, 15.5, 15.5, 16.5, 16, 16, 16.5

005 1.50 16, 15.5, 15.5, 15.5, 16.5, 16, 16, 16.5

006 1.75 16.5, 15.5, 15.5, 15.5, 16.5, 16, 16, 16.5

007 2.00 16.5, 16, 15.5, 16, 16.5, 16, 16, 17

008 2.25 16.5, 16, 15.5, 16, 16.5, 16, 16, 17

009 2.50 16.5, 16, 16, 16, 16.5, 16.5, 16, 17

010 2.75 17, 16, 16, 16, 16.5, 16.5, 16, 17

011 3.00 17, 16.5, 16, 16, 17, 16.5, 16, 17

012 3.25 17, 16.5, 16, 16, 17, 16.5, 16.5, 17

013 3.50 17.5, 16.5, 16.5, 16, 17, 16.5, 16.5, 17

014 3.75 17.5, 16.5, 16.5, 16.5, 17, 16.5, 16.5, 17.5

015 4.00 17.5, 17, 16.5, 16.5, 17, 16.5, 16.5, 17.5

016 4.25 18, 17, 16.5, 16.5, 17, 17, 16.5, 17.5

017 4.50 18, 17, 16.5, 16.5, 17, 17, 16.5, 17.5

018 4.75 18, 17, 17, 16.5, 17, 17, 17, 17.5

019 5.00 18.5, 17, 17, 16.5, 17.5, 17, 16.5, 17.5

020 5.25 18.5, 17.5, 17, 17, 17.5, 17, 17, 17.5

021 5.50 18.5, 17.5, 17, 17, 17.5, 17, 17, 17.5

022 5.75 18.5, 17.5, 17.5, 17, 17.5, 17, 17, 18

023 6.00 18.5, 17.5, 17.5, 17, 17.5, 17, 17, 18

024 6.25 19, 17.5, 17.5, 17, 17.5, 17.5, 17, 18

025 6.50 19, 17.5, 17.5, 17, 17.5, 17.5, 17, 18

026 6.75 19, 17.5, 17.5, 17, 17.5, 17.5, 17, 18

027 7.00 19, 18, 17.5, 17, 18, 17.5, 17, 18

028 7.25 19, 18, 17.5, 17, 18, 17.5, 17, 18

029 7.50 19, 18, 17.5, 17.5, 18, 17.5, 17.5, 18

030 7.75 19, 18, 18, 17.5, 18, 17.5, 17.5, 18

031 8.00 19, 18, 18, 17.5, 18, 17.5, 17.5, 18

032 8.25 19, 18, 18, 17.5, 18, 17.5, 17.5, 18

033 8.50 19, 18, 18, 17.5, 18, 17.5, 17.5, 18

034 8.75 19, 18, 18, 17.5, 18, 17.5, 17.5, 18

035 9.00 19, 18, 18, 17.5, 18, 18, 17.5, 18

036 9.25 19, 18, 18, 17.5, 18, 18, 17.5, 18

037 9.50 19, 18, 18, 17.5, 18, 18, 17.5, 18

038 9.75 19.5, 18, 18, 17.5, 18, 18, 17.5, 18

039 10.00 19.5, 18, 18, 17.5, 18, 18, 17.5, 18

040 10.25 19.5, 18, 18, 17.5, 18, 18, 17.5, 18

041 10.50 19.5, 18.5, 18, 17.5, 18, 18, 17.5, 18

042 10.75 19.5, 18.5, 18, 17.5, 18.5, 18, 17.5, 18

043 11.00 19.5, 18.5, 18.5, 17.5, 18.5, 18, 17.5, 18

044 11.25 19.5, 18.5, 18.5, 18, 18.5, 18, 17.5, 18

045 11.50 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

046 11.75 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

047 12.00 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

048 12.25 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

049 12.50 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

050 12.75 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

051 13.00 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

052 13.25 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

053 13.50 19.5, 18.5, 18.5, 18, 18.5, 18, 18, 18.5

054 13.75 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

055 14.00 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

056 14.25 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

057 14.50 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

058 14.75 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

059 15.00 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

060 15.25 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

061 15.50 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

062 15.75 19.5, 18.5, 18.5, 18, 18.5, 18.5, 18, 18.5

063 16.00 19.5, 18.5, 18.5, 18, 19, 18.5, 18, 18.5

064 16.25 19.5, 18.5, 18.5, 18, 19, 18.5, 18, 18.5

065 16.50 20, 19, 18.5, 18, 19, 18.5, 18, 18.5

066 16.75 20, 19, 18.5, 18.5, 19, 18.5, 18, 18.5

067 17.00 20, 19, 18.5, 18.5, 19, 18.5, 18, 18.5

068 17.25 20, 19, 19, 18.5, 19, 18.5, 18.5, 18.5

069 17.50 20, 19, 19, 18.5, 19, 18.5, 18.5, 18.5

070 17.75 20, 19, 19, 18.5, 19, 18.5, 18.5, 18.5

071 18.00 20, 19, 19, 18.5, 19, 18.5, 18.5, 18.5

072 18.25 20, 19, 19, 18.5, 19, 18.5, 18.5, 19

073 18.50 20, 19, 19, 18.5, 19, 18.5, 18.5, 19

074 18.75 20, 19, 19, 18.5, 19, 18.5, 18.5, 19

075 19.00 20, 19, 19, 18.5, 19, 18.5, 18.5, 19

076 19.25 20, 19, 19, 18.5, 19, 18.5, 18.5, 19

077 19.50 20, 19, 19, 18.5, 19, 18.5, 18.5, 19

078 19.75 20, 19, 19, 18.5, 19, 19, 18.5, 19

079 20.00 20, 19, 19, 18.5, 19, 19, 18.5, 19

080 20.25 20, 19, 19, 18.5, 19, 19, 18.5, 19

081 20.50 20, 19, 19, 18.5, 19, 19, 18.5, 19

082 20.75 20, 19, 19, 18.5, 19, 19, 18.5, 19

083 21.00 20.5, 19, 19.5, 18.5, 19, 19, 18.5, 19

084 21.25 20.5, 19.5, 19.5, 18.5, 19, 19, 18.5, 19

085 21.50 20.5, 19.5, 19.5, 18.5, 19, 19, 18.5, 19

086 21.75 20.5, 19.5, 19.5, 18.5, 19.5, 19, 18.5, 19

087 22.00 20.5, 19.5, 19.5, 18.5, 19.5, 19, 18.5, 19

088 22.25 20.5, 19.5, 19.5, 19, 19.5, 19, 18.5, 19

089 22.50 20.5, 19.5, 19.5, 19, 19.5, 19, 18.5, 19

090 22.75 20.5, 19.5, 19.5, 19, 19.5, 19, 18.5, 19

091 23.00 20.5, 19.5, 19.5, 19, 19.5, 19, 18.5, 19

092 23.25 20.5, 19.5, 19.5, 19, 19.5, 19, 18.5, 19

093 23.50 20.5, 19.5, 19.5, 19, 19.5, 19, 18.5, 19

094 23.75 20.5, 19.5, 19.5, 19, 19.5, 19, 19, 19

095 24.00 20.5, 19.5, 20, 19, 19.5, 19, 19, 19

096 24.25 20.5, 19.5, 20, 19, 19.5, 19, 19, 19

097 24.50 20.5, 19.5, 20, 19, 19.5, 19, 19, 19

098 24.75 20.5, 19.5, 20, 19, 19.5, 19, 19, 19

099 25.00 20.5, 19.5, 20, 19, 19.5, 19, 19, 19

100 25.25 21, 19.5, 20, 19, 19.5, 19, 19, 19

101 25.50 21, 19.5, 20, 19, 19.5, 19, 19, 19

102 25.75 21, 19.5, 20, 19, 19.5, 19, 19, 19

103 26.00 21, 19.5, 20, 19, 19.5, 19, 19, 19

104 26.25 21, 19.5, 20, 19, 19.5, 19, 19, 19

105 26.50 21, 19.5, 20, 19, 19.5, 19, 19, 19

106 26.75 21, 19.5, 20.5, 19, 19.5, 19, 19, 19

107 27.00 21, 20, 20.5, 19, 19.5, 19, 19, 19

108 27.25 21, 20, 20.5, 19, 19.5, 19.5, 19, 19

109 27.50 21, 20, 20.5, 19, 19.5, 19.5, 19, 19.5

110 27.75 21, 20, 20.5, 19, 19.5, 19.5, 19, 19.5

111 28.00 21, 20, 20.5, 19, 19.5, 19.5, 19, 19.5

112 28.25 21, 20, 20.5, 19, 19.5, 19.5, 19, 19.5

113 28.50 21, 20, 20.5, 19, 19.5, 19.5, 19, 19.5

114 28.75 21.5, 20, 20.5, 19, 20, 19.5, 19, 19.5

115 29.00 21.5, 20, 20.5, 19, 20, 19.5, 19, 19.5

116 29.25 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

117 29.50 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

118 29.75 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

119 30.00 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

120 30.25 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

121 30.50 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

122 30.75 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

123 31.00 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

124 31.25 21.5, 20, 20.5, 19.5, 20, 19.5, 19, 19.5

125 31.50 21.5, 20.5, 20.5, 19.5, 20, 19.5, 19, 19.5

126 31.75 22, 20.5, 20.5, 19.5, 20, 19.5, 19.5, 19.5

127 32.00 22, 20.5, 20.5, 19.5, 20, 19.5, 19.5, 19.5

128 32.25 22, 20.5, 21, 19.5, 20, 19.5, 19.5, 19.5

129 32.50 22, 20.5, 21, 19.5, 20, 19.5, 19.5, 19.5

130 32.75 22, 20.5, 21, 19.5, 20, 19.5, 19.5, 19.5

131 33.00 22, 20.5, 21, 19.5, 20, 19.5, 19.5, 19.5

132 33.25 22, 20.5, 21, 19.5, 20, 19.5, 19.5, 19.5

133 33.50 22, 20.5, 21, 19.5, 20, 19.5, 19.5, 19.5

134 33.75 22, 20.5, 21, 19.5, 20, 19.5, 19.5, 19.5

135 34.00 22, 20.5, 21, 19.5, 20, 20, 19.5, 19.5

136 34.25 22, 20.5, 21, 19.5, 20, 20, 19.5, 19.5

137 34.50 22, 20.5, 21, 19.5, 20, 20, 19.5, 19.5

138 34.75 22, 20.5, 21, 19.5, 20, 20, 19.5, 19.5

139 35.00 22, 20.5, 21, 20, 20.5, 20, 19.5, 19.5

140 35.25 22, 20.5, 21, 20, 20.5, 20, 19.5, 19.5

141 35.50 22, 20.5, 21, 20, 20.5, 20, 19.5, 19.5

142 35.75 22, 20.5, 21.5, 20, 20.5, 20, 19.5, 19.5

143 36.00 22, 21, 21.5, 20, 20.5, 20, 19.5, 19.5

144 36.25 22.5, 21, 21.5, 20, 20.5, 20, 19.5, 19.5

145 36.50 22.5, 21, 21.5, 20, 20.5, 20, 19.5, 19.5

146 36.75 22.5, 21, 21.5, 20, 20.5, 20, 19.5, 19.5

147 37.00 22.5, 21, 21.5, 20, 20.5, 20, 19.5, 20

148 37.25 22.5, 21, 21.5, 20, 20.5, 20, 19.5, 20

149 37.50 22.5, 21, 21.5, 20, 20.5, 20, 19.5, 20

150 37.75 23, 21, 21.5, 20, 20.5, 20, 19.5, 20

151 38.00 23, 21, 22, 20, 20.5, 20, 20, 20

152 38.25 23, 21, 22, 20, 20.5, 20, 20, 20

153 38.50 23, 21, 22, 20, 20.5, 20.5, 20, 20

154 38.75 23, 21.5, 22, 20.5, 20.5, 20.5, 20, 20

155 39.00 23, 21.5, 22, 20.5, 20.5, 20.5, 20, 20

156 39.25 23, 21.5, 22, 20.5, 20.5, 20.5, 20, 20

157 39.50 23, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

158 39.75 23, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

159 40.00 23, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

160 40.25 23.5, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

161 40.50 23.5, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

162 40.75 23.5, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

163 41.00 23.5, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

164 41.25 23.5, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

165 41.50 23.5, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

166 41.75 23.5, 21.5, 22.5, 20.5, 21, 20.5, 20, 20

167 42.00 23.5, 22, 22.5, 20.5, 21, 20.5, 20, 20

168 42.25 23.5, 22, 23, 20.5, 21, 20.5, 20, 20

169 42.50 23.5, 22, 23, 20.5, 21, 20.5, 20, 20

170 42.75 23.5, 22, 23, 21, 21, 21, 20, 20

171 43.00 24, 22, 23, 21, 21, 21, 20.5, 20.5

172 43.25 23.5, 22, 23, 21, 21, 21, 20.5, 20.5

173 43.50 23.5, 22, 23, 21, 21, 21, 20.5, 20.5

174 43.75 24, 22, 23, 21, 21, 21, 20.5, 20.5

175 44.00 24, 22, 23, 21, 21.5, 21, 20.5, 20.5

176 44.25 24, 22, 23, 21, 21.5, 21, 20.5, 20.5

177 44.50 24, 22, 23, 21, 21.5, 21, 20.5, 20.5

178 44.75 24, 22, 23, 21, 21.5, 21, 20.5, 20.5

179 45.00 24, 22, 23.5, 21, 21.5, 21, 20.5, 20.5

180 45.25 24, 22.5, 23.5, 21, 21.5, 21, 20.5, 20.5

181 45.50 24, 22.5, 23.5, 21, 21.5, 21, 20.5, 20.5

182 45.75 24, 22.5, 23.5, 21, 21.5, 21, 20.5, 20.5

183 46.00 24, 22.5, 23.5, 21, 21.5, 21, 20.5, 20.5

184 46.25 24, 22.5, 23.5, 21, 21.5, 21, 20.5, 20.5

185 46.50 24, 22.5, 23.5, 21, 21.5, 21, 20.5, 20.5

186 46.75 24, 22.5, 23.5, 21, 21.5, 21.5, 20.5, 20.5

187 47.00 24, 22.5, 23.5, 21, 21.5, 21.5, 20.5, 20.5

188 47.25 24, 22.5, 23.5, 21, 21.5, 21.5, 20.5, 20.5

189 47.50 24, 22.5, 23.5, 21, 21.5, 21.5, 20.5, 20.5

190 47.75 24, 22.5, 23.5, 21.5, 21.5, 21.5, 20.5, 20.5

191 48.00 24.5, 22.5, 23.5, 21.5, 21.5, 21.5, 20.5, 20.5

192 48.25 24.5, 22.5, 24, 21.5, 22, 21.5, 21, 20.5

193 48.50 24.5, 22.5, 24, 21.5, 22, 21.5, 21, 20.5

194 48.75 24.5, 22.5, 24, 21.5, 22, 21.5, 21, 21

195 49.00 24.5, 23, 24, 21.5, 22, 21.5, 21, 21

196 49.25 24.5, 23, 24, 21.5, 22, 21.5, 21, 21

197 49.50 24.5, 23, 24, 21.5, 22, 21.5, 21, 21

198 49.75 24.5, 23, 24, 21.5, 22, 21.5, 21, 21

199 50.00 24.5, 23, 24, 21.5, 22, 21.5, 21, 21

200 50.25 24.5, 23, 24, 21.5, 22, 21.5, 21, 21

201 50.50 24.5, 23, 24, 21.5, 22, 22, 21, 21

202 50.75 24.5, 23, 24, 21.5, 22, 22, 21, 21

203 51.00 24.5, 23, 24.5, 21.5, 22, 22, 21, 21

204 51.25 24.5, 23, 24.5, 22, 22, 22, 21, 21

205 51.50 24.5, 23, 24.5, 22, 22, 22, 21, 21

206 51.75 24.5, 23, 24.5, 22, 22, 22, 21.5, 21

207 52.00 24.5, 23, 24.5, 22, 22, 22, 21.5, 21

208 52.25 24.5, 23, 24.5, 22, 22.5, 22, 21.5, 21

209 52.50 24.5, 23, 24.5, 22, 22.5, 22, 21.5, 21.5

210 52.75 24.5, 23, 24.5, 22, 22.5, 22, 21.5, 21.5

211 53.00 25, 23.5, 24.5, 22, 22.5, 22, 21.5, 21.5

212 53.25 25, 23.5, 24.5, 22, 22.5, 22, 21.5, 21.5

213 53.50 25, 23.5, 24.5, 22, 22.5, 22, 21.5, 21.5

214 53.75 25, 23.5, 25, 22, 22.5, 22, 21.5, 21.5

215 54.00 25, 23.5, 25, 22, 22.5, 22, 21.5, 21.5

216 54.25 25, 23.5, 25, 22, 22.5, 22, 21.5, 21.5

217 54.50 25, 23.5, 25, 22, 22.5, 22, 21.5, 21.5

218 54.75 25, 23.5, 25, 22, 22.5, 22, 21.5, 21.5

219 55.00 25, 23.5, 25, 22, 22.5, 22, 21.5, 21.5

220 55.25 25, 23.5, 25, 22, 22.5, 22, 21.5, 21.5

221 55.50 25, 23.5, 25, 22, 22.5, 22, 21.5, 21.5

222 55.75 25, 23.5, 25, 22.5, 22.5, 22, 22, 21.5

223 56.00 25, 23.5, 25, 22.5, 22.5, 22.5, 22, 21.5

224 56.25 25, 23.5, 25, 22.5, 22.5, 22.5, 22, 21.5

225 56.50 25.5, 24, 25, 22.5, 22.5, 22.5, 22, 21.5

226 56.75 25.5, 24, 25, 22.5, 22.5, 22.5, 22, 21.5

227 57.00 25.5, 24, 25, 22.5, 23, 22.5, 22, 21.5

228 57.25 25.5, 24, 25, 22.5, 23, 22.5, 22, 22

229 57.50 25.5, 24, 25.5, 22.5, 23, 22.5, 22, 22

230 57.75 25.5, 24, 25.5, 22.5, 23, 22.5, 22, 22

231 58.00 25.5, 24, 25.5, 22.5, 23, 22.5, 22, 22

232 58.25 25.5, 24, 25.5, 22.5, 23, 22.5, 22, 22

233 58.50 25.5, 24, 25.5, 22.5, 23, 22.5, 22, 22

234 58.75 25.5, 24, 25.5, 22.5, 23, 22.5, 22, 22

235 59.00 25.5, 24, 25.5, 22.5, 23, 22.5, 22, 22

236 59.25 25.5, 24, 25.5, 22.5, 23, 22.5, 22, 22

237 59.50 26, 24, 25.5, 22.5, 23, 22.5, 22, 22

238 59.75 26, 24, 26, 22.5, 23, 22.5, 22, 22

239 60.00 26, 24, 26, 22.5, 23, 22.5, 22, 22

240 60.25 26, 24, 26, 23, 23, 23, 22, 22

241 60.50 25.5, 24, 26, 23, 23, 23, 22, 22

242 60.75 26, 24, 26, 23, 23, 23, 22, 22

243 61.00 26, 24.5, 26, 23, 23, 23, 22, 22

244 61.25 26, 24.5, 26, 23, 23, 23, 22, 22

245 61.50 26, 24.5, 26, 23, 23.5, 23, 22, 22

246 61.75 26, 24.5, 26, 23, 23.5, 23, 22, 22

247 62.00 26, 24.5, 26, 23, 23.5, 23, 22.5, 22

248 62.25 26.5, 24.5, 26, 23, 23.5, 23, 22.5, 22

249 62.50 26.5, 24.5, 26, 23, 23.5, 23, 22.5, 22

250 62.75 26.5, 24.5, 26, 23, 23.5, 23, 22.5, 22

251 63.00 26.5, 24.5, 26, 23, 23.5, 23, 22.5, 22

252 63.25 26.5, 24.5, 26, 23, 23.5, 23, 22.5, 22

253 63.50 26.5, 24.5, 26, 23, 23.5, 23, 22.5, 22

254 63.75 26.5, 24.5, 26.5, 23, 23.5, 23, 22.5, 22.5

255 64.00 26.5, 24.5, 26.5, 23, 23.5, 23, 22.5, 22.5

256 64.25 26, 24.5, 26.5, 23, 23.5, 23.5, 22.5, 22.5

257 64.50 26, 24.5, 26.5, 23, 23.5, 23.5, 22.5, 22.5

258 64.75 26, 24.5, 26.5, 23.5, 23.5, 23.5, 22.5, 22.5

259 65.00 26, 24.5, 26.5, 23.5, 23.5, 23.5, 22.5, 22.5

260 65.25 26, 24.5, 26.5, 23.5, 23.5, 23.5, 22.5, 22.5

261 65.50 26.5, 24.5, 26.5, 23.5, 23.5, 23.5, 22.5, 22.5

262 65.75 26.5, 24.5, 26.5, 23.5, 23.5, 23.5, 22.5, 22.5

263 66.00 26.5, 24.5, 26.5, 23.5, 23.5, 23.5, 22.5, 22.5

264 66.25 26, 25, 26.5, 23.5, 23.5, 23.5, 22.5, 22.5

265 66.50 26, 25, 26.5, 23.5, 23.5, 23.5, 23, 22.5

266 66.75 26.5, 25, 26.5, 23.5, 23.5, 23.5, 23, 22.5

267 67.00 26.5, 25, 26.5, 23.5, 24, 23.5, 23, 22.5

268 67.25 26.5, 25, 26.5, 23.5, 24, 23.5, 23, 23

269 67.50 26.5, 25, 26.5, 23.5, 24, 23.5, 23, 23

270 67.75 26.5, 25, 26.5, 23.5, 24, 23.5, 23, 23

271 68.00 27, 25, 26.5, 23.5, 24, 23.5, 23, 23

272 68.25 27, 25, 26.5, 23.5, 24, 23.5, 23, 23

273 68.50 27, 25, 26.5, 23.5, 24, 23.5, 23, 23

274 68.75 27, 25, 26.5, 23.5, 24, 23.5, 23.5, 23

275 69.00 27, 25, 26.5, 23.5, 24, 23.5, 23.5, 23

276 69.25 27, 25, 26.5, 23.5, 24, 23.5, 23.5, 23

277 69.50 27, 25, 26.5, 23.5, 24, 23.5, 23.5, 23

278 69.75 27, 25, 26.5, 23.5, 24, 24, 23.5, 23

279 70.00 27, 25, 26.5, 24, 24, 24, 23.5, 23

280 70.25 27, 25, 26.5, 24, 24, 24, 23.5, 23

281 70.50 26.5, 25, 26.5, 24, 24, 24, 23.5, 23

282 70.75 26.5, 25.5, 26.5, 24, 24, 24, 23.5, 23

283 71.00 26.5, 25.5, 26.5, 24, 24.5, 24, 23.5, 23.5

284 71.25 26.5, 25.5, 26.5, 24, 24.5, 24, 23.5, 23.5

285 71.50 26.5, 25.5, 26.5, 24, 24.5, 24, 23.5, 23.5

286 71.75 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

287 72.00 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

288 72.25 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

289 72.50 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

290 72.75 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

291 73.00 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

292 73.25 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

293 73.50 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

294 73.75 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

295 74.00 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

296 74.25 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

297 74.50 27, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

298 74.75 27, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

299 75.00 27, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

300 75.25 27, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

301 75.50 27, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

302 75.75 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

303 76.00 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

304 76.25 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

305 76.50 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

306 76.75 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23.5

307 77.00 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23

308 77.25 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23

309 77.50 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23

310 77.75 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23

311 78.00 26.5, 25.5, 27, 24, 24.5, 24, 23.5, 23

312 78.25 27, 25.5, 26.5, 24, 24.5, 24, 23.5, 23

313 78.50 27, 25.5, 26.5, 24, 24.5, 24, 23.5, 23

314 78.75 27, 25, 26.5, 24, 24.5, 24, 23.5, 23

315 79.00 27, 25.5, 26.5, 24, 24.5, 24, 23.5, 23

316 79.25 27, 25, 26.5, 24, 24.5, 24, 23.5, 23

317 79.50 27, 25.5, 27, 24, 24.5, 24, 23.5, 23

318 79.75 26.5, 25, 27, 24, 24.5, 24, 23.5, 23

319 80.00 27, 25, 27, 24.5, 24.5, 24, 23.5, 23

320 80.25 27, 25, 27, 24.5, 24.5, 24, 23.5, 23

321 80.50 27, 25, 27, 24.5, 24.5, 24, 23.5, 23

322 80.75 27, 25, 27, 24.5, 24.5, 24, 23.5, 23

323 81.00 27, 25, 27, 24.5, 24.5, 24, 23.5, 23

324 81.25 27, 25.5, 27, 24.5, 24.5, 24, 23.5, 23

325 81.50 27, 25.5, 27, 24.5, 24.5, 24, 23.5, 23

326 81.75 27, 25.5, 27, 24.5, 24.5, 24, 23.5, 23

327 82.00 27, 25.5, 27, 24.5, 24.5, 24, 24, 23.5

328 82.25 27, 25.5, 27, 24.5, 24.5, 24, 23.5, 23.5

329 82.50 27, 25.5, 27, 24.5, 24.5, 24, 23.5, 23

330 82.75 26.5, 25.5, 26.5, 24, 24.5, 24, 23.5, 23.5

331 83.00 26.5, 25.5, 26.5, 24, 24.5, 24, 23.5, 23.5

332 83.25 26.5, 25, 27, 24.5, 24.5, 24, 23.5, 23.5

333 83.50 26.5, 25.5, 27, 24.5, 24.5, 24, 23.5, 23.5

334 83.75 26.5, 25.5, 27, 24.5, 24.5, 24.5, 24, 23.5

335 84.00 26.5, 25.5, 27, 24.5, 24.5, 24.5, 24, 23.5

336 84.25 26.5, 25.5, 27, 24.5, 24.5, 24.5, 24, 23.5

337 84.50 27, 25.5, 27, 24.5, 25, 24.5, 24, 23.5

338 84.75 27, 25.5, 27, 24.5, 25, 24.5, 24, 23.5

339 85.00 27, 25.5, 27, 24.5, 25, 24.5, 24, 23.5

340 85.25 27, 25.5, 27, 24.5, 25, 24.5, 24, 23.5

341 85.50 27, 25.5, 27, 24.5, 25, 24.5, 24, 23.5

342 85.75 27, 25.5, 27, 24.5, 25, 24.5, 24, 23.5

343 86.00 27, 25.5, 27, 24.5, 25, 24.5, 24, 23.5

344 86.25 27.5, 26, 27.5, 24.5, 25, 24.5, 24, 23.5

345 86.50 27.5, 26, 27.5, 24.5,