One surface (x = 0) of a cooled plate, which has thickness δ, is insulated, whilst at the other surface heat is transferred to a fluid at a temperature of ϑF. Sketch the temperature profile ϑ = ϑ(x,...

One surface (x = 0) of a cooled plate, which has thickness δ, is insulated, whilst at the other surface heat is transferred to a fluid at a temperature of ϑF. Sketch the temperature profile ϑ = ϑ(x, t∗) in the plate for a fixed time t ∗. Which conditions must the curve satisfy close to the two surfaces x = 0 and x = δ, if the Biot number is Bi = αδ/λ = 1.5? In addition sketch the temperature profile of the fluid temperature in the boundary layer on the surface of the plate, taking account of the condition N u = αδ/λF = 10; λF is the thermal conductivity of the fluid.