Practical Heat Transfer Using MATLAB and COMSOL by L. S. Mayboudi

Author:L. S. Mayboudi
Language: eng
Format: mobi, epub
ISBN: 9781683926337
Publisher: Mercury Learning and Information
Published: 2022-01-15T00:00:00+00:00

It is possible to create a mesh grid and identify the points at which the thermal data is to be displayed. The spacing between the grid points along the x- and y-coordinates does not need to be the same and can be defined independently. Thermal data (e.g., temperature) then can be evaluated at the newly defined points even if it may differ from the grid-size data, as shown in Figure 5.27. Note that sets of x1, x2,

y1, y2, z1, z2, and t1, t2, dt, and n are the initial (subscript 1) and final (subscript 2), x-, y-, and z-coordinates, time, time step, and number of divisions, respectively.

t = t1:dt:t2;

w = linspace(x1,x2,n);

h = linspace(y1,y2,n);

l = linspace(z1,z2,n);

[Xw,Yh,Zl] = meshgrid(w,h,l);

T_xyz = interpolateTemperature(results,Xw,Yh,Zl ,1:n:length(t));

[Tx,Ty,Tz] = evaluateTemperatureGradient(results,Xw,Yh,Zl,1:n:length(t));

[qx,qy,qz] = evaluateHeatFlux(results,Xw,Yh,Zl,1:n:length(t));

Qn = evaluateHeatRate(results,’Edge’,[i,j]);

FIGURE 5.27.

Use of the object functions to analyze the thermal model results.

After the solution is run, the results and mesh can be further processed in the MATLAB environment by exporting the data to the MATLAB Workspace. The following steps may be taken to further investigate the solution process: (a) the PDE may be modified, and the solution rerun to study the data sensitivity to the PDE coefficients; (b) the specific material or nodal properties can be displayed; and (c) the mesh parameters can be reset, and the solution rerun to study the solution sensitivity to the mesh criteria.

5.3.10 Verifying the Model Inputs

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