1) Scaling & Dimensional Analysis A rectangular block has dimensions L, w, and w in the x, y, and zW directions. Do not make any assumption about L being larger or smaller than w. The block has a uniform volumetric heat generation g [W/m"], k and are known constants All 6 faces are held at temperature T-T. We are interested in the maximum temperature difference at steady state, 0maxTmax - To- (a) Apply dimensional analysis to deduce something about the functional form of max (b) Now apply a PDE scaling analysis to estimate Omax. [This means that you should come up with order- of-magnitude estimates that relate terms in the heat equation (e.g., ) to scales of the problem statement ox (e.g. L, w, T, m (c) In the limit L