Bioheat problem

Biomedical Heat Transfer Obtain a numerical solution to the electric current circulation in the block shown in figure below. Solve the problem for cartesian coordinates. The governing equation for this problem is, according to the theory developed in class (equation 2.21): ∇ · ∇(σV ) = 0 or, for cartesian coordinates and a constant electrical conductivity σ The section to be analyzed has dimensions L =0.1 m by L =0.1 m, and has electrical conductivity σ = 0.188 S/m. The coordinate system is fixed in the upper right corner, as shown in figure. The shaded boundaries are electrically insulated, while the arrowed boundary represents a uniform current being injected into the section. The right and bottom boundaries have a voltage equal to zero. The boundary conditions for this electrical problem can be stated as: V (0,y) = 0 for right face V (x,L) = 0 for bottom boundary = 0 for upper insulated boundary For the left hand side boundary insulated sections = 0 if y ≤ L/3 or y ≥ 2L/3 For left hand side boundary current injecting section = 10 Amperes if L/3 ≤ y ≤ 2L/3 Solve using the method of separation of variables. The procedure is simmilar to when solving a steady state conduction problem, only that in this case the equation is simpler and there are slight differences in boundary conditions. Plot your results using matlab contour plots. The computer code used in the problem solved in lectures is provided separately.