Table 1: Parameters Current Heat Flow Cross Sectional Area of the bar Temperature Difference in Heated Section Conductivity in Heated Section Temperature Difference in Intermediate Section Equations Heater Voltage (12V) Heater Voltage(17V) 1.2 Q = VI (watts) 14.4 1.69 28.73 A = πD²/4 (m²) 4.909* 104 4.909104 AThot T1-T3 (°C) 8.11 13.4 Khat X13Q/A Thot A 108.64 131.03 ATint= T₁ - T5 (°C) 1.3 4.3 Conductivity in Intermediate Section Kint X45Q/ATint A 336.90 204.15 Temperature Difference in Cooled Section = ATcold T6-T8 (°C) 6.2 11.79 Conductivity in Cooled Section Kcold X68 Q/ATcold A 141.94 148.92 On Accessibility: Investigate 80.0 70.0 60.0 Temperature/Position along the bar 50.0 40.0 30.0 20.0 10.0 0.0 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 Temperature Readings at 17V [°C] -Temperature Readings at 12V [°C] ANALYSIS

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Parameter symbol units reading 1 Reading 2
Heater Volatge V volts 12 27
Heater Current I amps 1.2 1.69
Heated section High Temperatuer T1 degrees Celcius 47.1 72.4
Heated Section Mid Temperature T2 degrees celcius 42.4 65.6
Heated Section Low Temperature T3 degrees celcius 39 59
Intermediate section High Temperature T4 degrees celcius 34.4 50.1
Intermediate Section mid Temperature T5 degrees celcius 33.1 45.8
Cooled Section High Temperature T6 degrees celcius 27.1 35.6
Cooled Section Mid Temperature T7 degrees celcius 23.8 29.5
Cooled section Low Temperature T8 degrees celcius 20.9 23.9
Cooling Water Flow Rate   Litres/min 1.43 1.5

the above results are from a linear heat conduction experiment conducted using the Armfield HT10XC Heat Service Unit. The aim of the experiment is to use the Fourier'rate equation ( Q = -kA(dT/dx) to determine the rate of heat flow through solid materials. Given the following parameters: 

  1. T1 and T3           X13 = 0.03m
  2. T4 and T5            X45 = 0.015m

3. T6 and T8           X68 = 0.03m

4. Diameter of the brass bar D = 0.025m, the parameters in the attached table were calculated and the ''temperature'' against ''position along the bar'' graph was plotted as seen in the attached document.

Analyze the above results using the following pointers:

 

Table 1:
Parameters
Current
Heat Flow
Cross Sectional Area of the bar
Temperature Difference in Heated
Section
Conductivity in Heated Section
Temperature Difference in
Intermediate Section
Equations
Heater Voltage
(12V)
Heater
Voltage(17V)
1.2
Q
= VI (watts)
14.4
1.69
28.73
A = πD²/4 (m²)
4.909* 104
4.909104
AThot T1-T3 (°C)
8.11
13.4
Khat X13Q/A Thot A
108.64
131.03
ATint= T₁ - T5 (°C)
1.3
4.3
Conductivity in Intermediate Section
Kint X45Q/ATint A
336.90
204.15
Temperature Difference in Cooled
Section
=
ATcold T6-T8 (°C)
6.2
11.79
Conductivity in Cooled Section
Kcold X68 Q/ATcold A
141.94
148.92
On Accessibility: Investigate
Transcribed Image Text:Table 1: Parameters Current Heat Flow Cross Sectional Area of the bar Temperature Difference in Heated Section Conductivity in Heated Section Temperature Difference in Intermediate Section Equations Heater Voltage (12V) Heater Voltage(17V) 1.2 Q = VI (watts) 14.4 1.69 28.73 A = πD²/4 (m²) 4.909* 104 4.909104 AThot T1-T3 (°C) 8.11 13.4 Khat X13Q/A Thot A 108.64 131.03 ATint= T₁ - T5 (°C) 1.3 4.3 Conductivity in Intermediate Section Kint X45Q/ATint A 336.90 204.15 Temperature Difference in Cooled Section = ATcold T6-T8 (°C) 6.2 11.79 Conductivity in Cooled Section Kcold X68 Q/ATcold A 141.94 148.92 On Accessibility: Investigate
80.0
70.0
60.0
Temperature/Position along the bar
50.0
40.0
30.0
20.0
10.0
0.0
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
Temperature Readings at 17V [°C]
-Temperature Readings at 12V [°C]
ANALYSIS
Transcribed Image Text:80.0 70.0 60.0 Temperature/Position along the bar 50.0 40.0 30.0 20.0 10.0 0.0 0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 Temperature Readings at 17V [°C] -Temperature Readings at 12V [°C] ANALYSIS
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