VMFL050

VMFL050
Transient Heat Conduction in a Semi-Infinite Slab

Overview

ReferenceF.P. Incropera, D.P. Dewitt, T.L. Bergman, A.S. Lavine, Introduction to Heat Transfer, 5th Edition, Wiley & Sons, p. 287, 2007
SolverAnsys Fluent
Physics/Models

Transient heat transfer, Conduction

Input File
VMFL050_FLUENT.cas
Project FilesLink to Project Files Download Page

Test Case

Unsteady heat conduction in a thick copper plate is modeled. Initially (at t = 0) the plate is at a uniform temperature of 293 K. It is suddenly exposed to a heat transfer at one surface with a constant heat flux of 3 X 105 W/m2. The temperature distribution after 2 minutes is considered for verification.

Figure 126: Flow Domain

Flow Domain

Material PropertiesGeometry Boundary Conditions

Density = 8995.67 kg/m3

Specific Heat = 381 J/kg-K

Conductivity = 401 W/m-K

Dimensions of the slab:

750 mm X 300 mm

Heat Flux = 3 x 105 W/m2 on one wall. The opposite wall is adiabatic.

Lateral boundaries are modeled as planes of symmetry.

Analysis Assumptions and Modeling Notes

The flow is transient. The dimensions considered here are adequate for the semi-infinite slab assumption. The domain is initialized with a uniform temperature of 293 K corresponding to the condition at time = 0 sec.

Results Comparison for Ansys Fluent

Table 32: Comparison of Temperature after 2 Minutes

 TargetAnsys FluentRatio
Temperature of the wall exposed to heat flux at t = 120 sec, K393392.950.9998
Temperature at a point 150 mm from the heat flux wall at t = 120 sec, K318.4318.411.0000