plese help me solve this

how can i solve this please: Consider an ?×? cm fin, with d mm thickness. Assume that power W is supplied along the [a,b] interval on the left edge. According to Fourier’s first law heat energy per unit time, q, is ? = −?∇? where ? is the thermal conductivity constant of the material; ? is the cross-sectional area of the material; ∇? is the gradient of the temperature. Newton’s law of cooling defines q in terms of convection: ? = −?(? − ??) where ? is the convective heat transfer constant of the material; ?? is the ambient temperature. Based on that formulate the 2D discrete mathematical model, based on the elliptic PDE with Robin (convective) boundary conditions.

[Bob Thompson]

What do you have so far? What about this are you trying to accomplish in Matlab?

Answer 1

[Ravi Kumar]

You can use PDE Toolbox to solve this kind of heat transfer problem. Refer to the documentation on Heat Transfer problem setup in PDE Toolbox.