Ahole of diameter d 0.25 m is drilled through the center of a solid block of square cross section with w 1 m on a side. the hole is drilled along the length, l 2 m, of the block, which has a thermal conductivity of k 150 w/m k. the

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x, y,t)along the plate at any time t. b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax