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_tand 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.