Consider a long rectangular bar of length a in the x-direction and width b in the y-direct...

Consider a long rectangular bar of length a in the x-direction and width b in the y-direction that is initially at a uniform temperature of Ti. The surfaces of the bar at x = 0 and y = 0 are insulated, while heat is lost from the other two surfaces by convection to the surrounding medium at temperature T∞ with a heat transfer coefficient of h. Assuming constant thermal conductivity and transient two-dimensional heat transfer with no heat generation, express the mathematical formulation (the differential equation and the boundary and initial conditions) of this heat conduction problem. Do not solve.