MATLAB: In MATLAB PDE Toolbox App, I’ve multiple objects (Rectangular shaped) in one file. For multiple objects I’d like to specify the PDE coefficients differently. How to specify the different PDE coefficients for different objects.

fem analysisPartial Differential Equation Toolboxpde toolbox

As an example, I have 3 rectangular shaped objects. They share the boundary with each other. I'd like to calculate the heat transfer equation for 3 different objects. The heat source,Q is different for different objects e.g Q = [10;20;30]. So using PDE Toolbox GUI, how can I set the value ?

Best Answer

After you have drawn your rectangles, select PDE > PDE Mode. Then double-click each rectangle to enter its coefficients.

Alan Weiss

MATLAB mathematical toolbox documentation

Related Solutions

MATLAB: In PDE tool What is the difference between Convection heat transfer coefficient(h) and heat transfer coefficient(q)? I know Convection heat transfer coefficient( htc ) but not sure about heat transfer coefficient. Is it the overall htc of the objec

We use "h" for "Convection heat transfer coefficient" in heat transfer, "h" for enthalpy in thermodynamics. please don't confuse those things because that are just a alphabet to mention some quantity.

In matlab pdetool uses "h" alphabet like h*u=r for Dirichlet b.c. This is to generalize the b.c that can be applied for complex problem where we are uncertain about exact boundary condition, where we can try partial weight to different boundary locations (especially in script file) and we can do different different simulations. In well-pose problem if we want to use b.c u=0; then we should give h=1; and r=0.

In Neumann b.c "q" acts similar to "h" in Dirichlet b.c.

In heat transfer, source(Q) is heat generated in the process and unit is joule. If u r doing some steady state analysis using numerical methods then we mostly define "Q" is heat produced per unit volume (J/m^3). If u r doing transient analysis (Q) is heat produced per unit volume per time (that is watt/m^3)

heat flux is denoted by (q): This is heat transferred per unit area. Here the heat may in joule or watt so unit of heat flux may be J/m^2 or W/m^2.

MATLAB: Partial Differential Equation Toolbox

Take

c = [- x, x - y ; - ( x - y ), - y]

Then

-div(c*grad(u)) = x * d^2u/dx^2 + y * d^2u/dy^2

Section 2-62 in

http://www.cmap.polytechnique.fr/~jingrebeccali/frenchvietnammaster2_files/2017/pdetool_doc

Best Answer

Related Solutions

MATLAB: In PDE tool What is the difference between Convection heat transfer coefficient(h) and heat transfer coefficient(q)? I know Convection heat transfer coefficient( htc ) but not sure about heat transfer coefficient. Is it the overall htc of the objec

MATLAB: Partial Differential Equation Toolbox

Related Question