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Experiment # 1
Objective:
To investigate Fourier’s Law for the linear conduction of heat along a homogeneous bar.
Apparatus:
Fig1.1 (Heat conduction unit)
Procedure:
 Make sure that the main switch is initially off. Then insert a brass conductor (25mm
diameter) section intermediate section into the linear module and clamp together.
 Turn on the water supply ensure the water flowing through the free end of the water pipe
to drain pipe to drain. This should be checked at intervals.
 Turn the heater power control knob control panel to the fully anticlockwise position and
connect the sensors leads.
 Switch on the power supply and main switch, the digital readouts will be illuminated.
 Turn the heater power control to 20 Watts and allow sufficient time for a steady state
condition to be achieved before recording the temperature at all nine sensor points and
the input power reading on the wattmeter (Q). Repeat this procedure for input power
between 10 watts. After each change, sufficient time must be allowed to achieve steady
state conditions.
 Plot the temperature, T (℃) versus distance, x (meter) calculate the actual thermal
conductivity and theoretical.
Observation:
Sr#
Heater
power
(W)
𝑻 𝟏
(℃)
𝑻 𝟐
(℃)
𝑻 𝟑
(℃)
𝑻 𝟒
(℃)
𝑻 𝟓
(℃)
𝑻 𝟔
(℃)
𝑻 𝟕
(℃)
𝑻 𝟖
(℃)
𝑻 𝟗
(℃)
K
(W/m℃)
1 5 36.7 33.5 32.5 32.1 30.5 30 29.7 29.6 29.4 101.9
2 10 45.5 41.3 39.3 35 32.3 32.1 31.4 30.9 30.8 203.9
3 15 63.5 55.7 47.1 39.1 36.2 35.1 33.1 32.6 32.2 305.9
4 20 67.8 66.7 61.7 51 48 46 34.8 34.2 33.6 408.2
5 25 69.9 68.3 64.3 33 51 49 37.9 35 35 510.2
Distance
From
the
Heater
(m)
0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Sample Calculation:
Graph:
Result:
Varying the input power will affect the heat transfer coefficient. When the input power, Q(watt)
increases, the overall heat transfer coefficient, K (W/mC) will decrease. There will be difference
between U calculated from the experiment and U calculated theoretically because of the
difference in variables (input power, area, temperature, distance and thermal conductivity) used.

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To investigate Fourier’s Law for the linear conduction of heat along a homogeneous bar.

  • 1. Experiment # 1 Objective: To investigate Fourier’s Law for the linear conduction of heat along a homogeneous bar. Apparatus: Fig1.1 (Heat conduction unit) Procedure:  Make sure that the main switch is initially off. Then insert a brass conductor (25mm diameter) section intermediate section into the linear module and clamp together.  Turn on the water supply ensure the water flowing through the free end of the water pipe to drain pipe to drain. This should be checked at intervals.  Turn the heater power control knob control panel to the fully anticlockwise position and connect the sensors leads.  Switch on the power supply and main switch, the digital readouts will be illuminated.  Turn the heater power control to 20 Watts and allow sufficient time for a steady state condition to be achieved before recording the temperature at all nine sensor points and the input power reading on the wattmeter (Q). Repeat this procedure for input power between 10 watts. After each change, sufficient time must be allowed to achieve steady state conditions.  Plot the temperature, T (℃) versus distance, x (meter) calculate the actual thermal conductivity and theoretical.
  • 2. Observation: Sr# Heater power (W) 𝑻 𝟏 (℃) 𝑻 𝟐 (℃) 𝑻 𝟑 (℃) 𝑻 𝟒 (℃) 𝑻 𝟓 (℃) 𝑻 𝟔 (℃) 𝑻 𝟕 (℃) 𝑻 𝟖 (℃) 𝑻 𝟗 (℃) K (W/m℃) 1 5 36.7 33.5 32.5 32.1 30.5 30 29.7 29.6 29.4 101.9 2 10 45.5 41.3 39.3 35 32.3 32.1 31.4 30.9 30.8 203.9 3 15 63.5 55.7 47.1 39.1 36.2 35.1 33.1 32.6 32.2 305.9 4 20 67.8 66.7 61.7 51 48 46 34.8 34.2 33.6 408.2 5 25 69.9 68.3 64.3 33 51 49 37.9 35 35 510.2 Distance From the Heater (m) 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Sample Calculation:
  • 3. Graph: Result: Varying the input power will affect the heat transfer coefficient. When the input power, Q(watt) increases, the overall heat transfer coefficient, K (W/mC) will decrease. There will be difference between U calculated from the experiment and U calculated theoretically because of the difference in variables (input power, area, temperature, distance and thermal conductivity) used.