# THeat3: Transient Temperature Distribution in an Orthotropic Metal Bar

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.