A very viscous Newtonian fluid falls from top (at 0=0) on the surface of a sphere with radius KR and flows down as a film over the surface of the sphere, as shown in the adjacent figure. Assume that the film thickness remains constant (=8) from 0= to 0=n-E. Ignore the entrance and exit effects. It is desired to find out the velocity distribution in the film from 0= to 0=n-. The flow is enough slow that the creeping flow approximation could be made. Starting from the appropriate form of the continuity and Navier-Stokes equations, write down the simplified form of the equations that needs to be solved with the required boundary conditions to obtain the velocity distribution in the film. DO NOT SOLVE THE EQUATIONS. Write all assumptions/ postulates that are used to simplify the Navier-Stokes equation. (5 marks) 0=n-E

08 A very viscous Newtonian fluid falls from top (at 0=0) on the surface of a sphere with radius kR and flows down as a film over the surface of the sphere, as shown in the adjacent figure. Assume that the film thickness remains constant (=8) from 0= to O=-. Ignore the entrance and exit effects. It is desired to find out the velocity distribution in the film from 0=to 0=z-6. The flow is enough slow that the creeping flow approximation could be made. Starting from the appropriate form of the continuity and Navier-Stokes equations, write down the simplified form of the equations that needs to be solved with the required boundary conditions to obtain the velocity distribution in the film. DO NOT SOLVE THE EQUATIONS. Write all assumptions/ postulates that are used to simplify the Navier-Stokes equation (5 marks) D=