For a convection flow parallel to a flat surface with no pressure gradient, a control volume is chosen having Δx, a height equal to the thickness of the thermal boundary laver, δ t and a unit depth, as shown in the following figure. Assuming the constant temperatures at the flat surface T s . and free flow surface T ∞ [1] Using the control volume approach to derive the integral equation for the thermal boundary layer [2] List the boundary conditions and find out the temperature profile. [3] Derive the expressions for the convection heat transfer coefficient and Nu number. [4] Derive the expression for the heat flux at the flat surface.