117_2D Heat Transfer

Today, solve one of the NAFEMS Benchmark tests for thermal analysis using COMSOL.

(ref : A.D. Cameron, J.A. Casey, and G.B. Simpson, NAFEMS Benchmark Tests for Thermal Analyes. NAFEMS Documentation)

 

The problem definition is as follow.

 

ref : www-rocq.inria.fr

 

The geometry has a height of $1m$ and width of $0.6m$, with the bottom boundary fixed at a temperature of 100 degrees Celsius. The left side is a perfect insulator, while the top and right boundaries each have a thermal conductivity of $750\text{W}/{\text{m}}^2\cdot \text{C}$. The material itself has a thermal conductivity of $\text{85W}/\text{m}\cdot \text{C}$. The task is to find the temperature at the point $E$(0.6, 0.2) on the right side.

 

In Model Wizard - 2D - Heat Transfer - Heat Transfer in Solids - Add - Study

Stationary - Done

 

Geometry

Rectangle

Width : 0.6

 

Boundaries - Temperature

Select the bottom boundary

$T_0$ : 100[degC]

 

Boundaries - Heat Flux

Select the right and top boundaries

Flux type : Convective heat flux

$h$ : 750

$T_{e}xt$ : 0[degC]

 

Heat Transfer in Solids(ht) - Solid 1

Thermal Conductivity($k$) : 52

 

Mesh

Right click Mesh1 and choose Mapped - Build All

 

 

Study - Compute

 

 

To check the temperature at (0.6, 0.2), a Point Evaluation needs to be performed.

Result toolbar - Cut Point 2D

x : 0.6

y : 0.2

 

REsult toolbar - Point Evaluation

Data set : Cut Point 2D 1

Expression : T

Unit : degC

Evaluate

 

 

As a result, the temperature was found to be 18.265C.