A long metal bar of rectangular cross-section is initially at a temperature T_{0} and is then suddenly quenched in a large volume of fluid at temperature T_{i}. The material conductivity is orthotropic, having different x and y directional properties. The surface convection coefficient between the wire and the air is α.
Problem Type:
A plane-parallel problem of nonlinear heat transfer.
Geometry:
Given:
a = 2 in, b = 1 in
λ_{x} = 34.6147 W/K·m, λ_{y} = 6.2369 W/K·m;
T_{i} = 37.78°C, T_{0} = 260°C;
α = 1361.7 W/K·m^{2};
C = 37.688 J/kg·K, ρ = 6407.04 kg/m^{3}.
Problem:
Determine the temperature distribution in the slab after 3 seconds at the center, corner edge
and face centers of the bar.
Solution:
A time step of 0.1 sec is used.
Comparison of Results:
Temperature, °C |
|||
Point |
QuickField |
ANSYS |
Reference: |
(0,0) in |
238.7 |
239.4 |
237.2 |
(2,1) in |
66.43 |
67.78 |
66.1 |
(2,0) in |
141.2 |
140.6 |
137.2 |
(0,1) in |
93.8 |
93.3 |
94.4 |
Reference:
Schneider P.J., "Conduction Heat Transfer", Addison-Wesley Publishing Co., Inc, Reading, Mass., 2nd Printing, 1957, Page 261, Example 10-7.
See the THeat3.pbm problem in the Examples folder.