11:13 PM Fri Apr 8 < T 5. For a solid under steady heat conduction, let Lx, Ly, and L. be the length scales in the x, y and z directions, respectively, and let (AT)x, (AT), and (AT): be the maximum temperature differences in the x, y and z directions. If the solid has anisotropic thermal conductivities given by kx, ky and k; in the x, y and z directions, respectively, (a) Conduct the dimensional analysis to obtain the conditions under which the problem can be reduced to two-dimensional heat conduction in the x- and y- directions. Illustrate this situation by drawing a schematic. (10%) (b) Write down the conditions under which the problem remains three- dimensional but can be lumped into two-dimensional heat conduction in x- and y- directions. Draw a schematic. (10%) Page 2 of 4 53% O