Let us assume a liquid film over an horizontal solid plate. the flow, with constant thickness ℎ and subject to the gravity, is driven by a constant shear stress at the top surface: �[\(ℎ) = �. assume that the liquid film is thin enough and flat and that the flow is fully developed with zero net flow rate. determine the velocity profile �(�) and the pressure gradient ��/��.

For each of the following process: a) sketch the p-v diagram, b)sketch t-s diagram, c) sketch t-v diagram, d) sketch the boundary work on one of the diagrams (a, b or c) and e) sketch the reversible heat transfer on one of the diagrams (a, b or c): 1- isobaric process from compressed liquid to superheated vapor 2- isothermal process from compressed liquid to superheated vapor 3- isentropic process from compressed liquid to superheated vapor