Oil flows down an inclined fixed plane with the velocity profile given by 2 1 2 o u C y C y U where C1, C2 are constants and Uo is the constant velocity at the free surface. (a) (7 pts) Write the boundary conditions and determine the constants C1 and C2 . (b) (8 pts) Determine the magnitude and direction of shearing stress that oil exerts on the fixed plane for Uo=1 m/s and h=0.05 m. Take the oil viscosity 0.3 Pa-s.

Question 3. Oil flows down an inclined fixed plane with the velocity profile given by U -= Cy+Czy? U where C1, C2are constants and U. is the constant velocity at the free surface. h U. 991112 Yuly) (a) (7 pts) Write the boundary conditions and determine the constants C1 and C2. (b) (8 pts) Determine the magnitude and direction of shearing stress that oil exerts on the fixed plane for U.=1 m/s and h=0.05 m. Take the oil viscosity 0.3 Pa-s