Description
Determine the temperature distribution in a rod of dimensions 10mx1mx1m in which one end has a fixed temperature of 1000ºC and the other end is radiating heat into an ambient atmosphere of temperature 10ºC. Use a value of 1 for both radiation view factor and emissivity of the radiating surface.
File Name
Browse to
drive letter:\Users\Public\Public
Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Thermal_10.SLDPRT and open the
file.
Study Type
Steady state thermal analysis.
Meshing Parameters
Use a Global Size of 0.4 m.
Material Properties
Thermal conductivity = 45 W/(m.ºC).
Results
| |
Theory |
SOLIDWORKS Simulation |
| Average temperature of the radiating end, ºC
|
235.77 |
235.74 |
| Total heat entering the rod, W
|
3439 |
3439 |
| Total heat
leaving the rod, W (a)
|
3439 |
3439 |
(a) To get the heat flow through a face, plot the Z Heat Flux and probe the two faces.
The analytical solution for this problem consists of solving the 1D heat transfer differential equation with the boundary conditions: at x = 0 , T = 1000ºC and at x = 10 m, T = T10. Where T10 is the temperature at the radiating face. Then a heat balance equation at the radiating face is written such that the rate of heat conduction at that face equals the rate of heat lost to the environment by radiation. The resulting fourth order algebraic equation in T10 is solved using the Newton-Raphson method. The heat entering and leaving the rod are calculated from the gradients at both ends of the rod.