Transient temperature distribution in an orthotropic metal bar - QuickField simulation example
A very long square iron rod at Ti=260°C is suddenly immersed in a coolant at T0=37.78°C.
How to find transient temperature distribution in metal bar?
Answer Typical applications Geometry
a = 2", b = 1"
Given
Task
Solution
Results
Temperature, °C
* Reference: Schneider P.J., "Conduction Heat Transfer", Addison-Wesley Publishing Co., Inc, Reading, Mass., 2nd Printing, 1957, Page 261, Example 10-7.
Engineering question
Set up a plane-parallel QuickField Transient Heat Transfer problem for a metal bar and evaluate transient temperature distribution from computed field results.
metal bars, transient heat conduction specimens, orthotropic thermal bodies
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Simulation problem
Problem Type
Plane-parallel problem of heat transfer.
Iron thermal conductivity λx = 34.6 W/K-m, λy = 6.24 W/K-m
Initial temperature Ti = 260°C;
Coolant temperature T0 = 37.8°C;
Convection coefficient α = 1363 W/K-m²;
Specific heat C = 38 J/kg·K, ρ = 6400 kg/m³.
Determine the temperature distribution in the slab after 3 seconds at the center, corner edge and face centers of the bar.
To set the non-zero initial temperature we have to solve an auxiliary steady state problem, whose solution is uniform distribution of the temperature T0
A time step of 0.1 sec is used.
Temperature distribution in an orthotropic metal bar:
Point
QuickField
Reference*
(0,0) in
239
237
(2,1) in
66.7
66.1
(2,0) in
142
137
(0,1) in
94.1
94.4
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