Question

And governing equation used

Written A rectangular plane wing can be treated as a two-dimensional domain as a rough approximation. The length of the wing is 3 and its width (the height of the domain when represented on a sheet of paper) is 1. The wing is exposed to a heat source at its leftmost edge, with a temperature equal to Trot. The flux of heat in the wing is given by Fourier's law: and throughout the domain a source term applies: a+b+ where a, b and c are constants, z and y are coordinate variables in the horizontal and vertical directions, respectively, and the origin of coordinates is at the bottom left. Derive the governing equation for the problem, including boundary conditions. Use finite volume to discretize, and write stencils for an arbitrary volume in the center of the domain along with all boundaries and corners Code Produce plots for values of {a/κ, b/к, е/к)-(-3.0, 2.0,-60), and resolutions of 8, 16 and 32 cells in the y-direction and three times as many in the x-direction. (This will create a regular mesh at each resolution.) Use & value of T-= 0. In the seript, use the following code to produce the plots given a return vector u,hat: uhat-final reshape(u.hat. 3.m, m)'; figure contourf(flipud(uhat final),20) shading flat colormap hot cmap - colormap; cmap -flipud(cmap): colormap(emap) You can use any colormap you want, so long as it prints well in greyscale. (The default colormap does not.)

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