A Newtonian incompressible liquid (condensate) is flowing along a cooled wall (maintained at a temperature Tw) like a film of thickness . The liquid and gas interface is at a temperature Ti > Tw. The viscosity of the liquid is varying according to the following relationship =o exp(-ax/) where a is a positive constant and x is the coordinate along the thickness of the film. (i) Derive an expression for shear stress distribution (ii) Derive an expression for velocity distribution (iii) Derive an expression for the volumetric flow rate