A long metal bar of rectangular cross-section is initially at a temperature T0 and is then suddenly quenched in a large volume of fluid at temperature Ti. 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
λx = 34.6147 W/K·m, λy = 6.2369 W/K·m;
Ti = 37.78°C, T0 = 260°C;
α = 1361.7 W/K·m2;
C = 37.688 J/kg·K, ρ = 6407.04 kg/m3.
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.