a) (5 points) Use the physical conditions below (i). (Ii), (iii), (iv), and (v) to reduce the continuity and momentum equations above to obtain the reduced differential equations which describe flow. Describe the boundary conditions used.
(i) Steady flow
(ii) Incompressible fluid
(iii) No flow variation in the plane of the paper. Normally the surface is of unit depth into the paper (b=1m). (iv) Fully developed flow
(v) No penetration at the belt and the liquid does not escape from the liquid film
(b) Determine an expression for the following: (i) (4 points) the velocity profile equation (ii) (2 points) the shear stress profile
(iii) (5 points) the volumetric flow rate expression
(iv) (2 points) liquid film thickness to the volumetric flow rate per unit depth of surface normal to the flow
(v) (2 points) Q if h=3mm
