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Monday 12 December 2016

2D Steady-State Heat Equation

2D定常熱方程式

 2D稳态热方程

2D stationäre Wärmegleichung

 Use the finite difference method and Matlab code to solve the 2D steady-state heat equation:


Where T(x, y) is the temperature distribution in a rectangular domain in x-y plane.

The boundary condition is specified as follows in Fig.1.



Figure 1: Boundary conditions










Results:

Along blue dashed line, the temperature profile is given by:


Temperature profile along blue line.


Along red dashed line, the temperature profile is given by:
 
Temperature profile along red line


 Temperature discribution is given by:

Temperature distribution: 2D Steady-State Heat Equation.

  
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