
A long metal bar of rectangular crosssection 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 planeparallel 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", AddisonWesley Publishing Co., Inc, Reading, Mass., 2nd Printing, 1957, Page 261, Example 107.
See the THeat3.pbm problem in the Examples folder.