Applied Thermodynamics and Heat Transfer
Assignment 1 Answers
Semester 1 2024
0027 65 934 4052
,
, Given :
Area of the wall = 5.5 m2
Thermal conductivity = 7.35 W/m.K
T1 and T2 are the temperatures at the two ends of the wall
T1 = 1750C = 448.15 K
T2 = 450C = 318.15 K
Thickness of the wall, d = 150 mm = 0.15m
1.1 Using Fourier’s law of heat conduction:
𝑘. 𝐴(𝑇1 − 𝑇2)
𝑄=
𝑑
7.35 × 5.5(448.15 − 318.15)
𝑄=
0.15
𝑸 = 𝟑𝟓 𝟎𝟑𝟓 𝑾
Temperature gradient ;
𝑑𝑇 𝑇1 − 𝑇2
=
𝑑𝑥 𝑑
𝑑𝑇 175 − 45
=
𝑑𝑥 0.15
Temperature gradient = 866.67 0C/m
Assignment 1 Answers
Semester 1 2024
0027 65 934 4052
,
, Given :
Area of the wall = 5.5 m2
Thermal conductivity = 7.35 W/m.K
T1 and T2 are the temperatures at the two ends of the wall
T1 = 1750C = 448.15 K
T2 = 450C = 318.15 K
Thickness of the wall, d = 150 mm = 0.15m
1.1 Using Fourier’s law of heat conduction:
𝑘. 𝐴(𝑇1 − 𝑇2)
𝑄=
𝑑
7.35 × 5.5(448.15 − 318.15)
𝑄=
0.15
𝑸 = 𝟑𝟓 𝟎𝟑𝟓 𝑾
Temperature gradient ;
𝑑𝑇 𝑇1 − 𝑇2
=
𝑑𝑥 𝑑
𝑑𝑇 175 − 45
=
𝑑𝑥 0.15
Temperature gradient = 866.67 0C/m
