The velocity profile for a thin film of a Newtonian fluid that is confined (4mm) between the plate and a fixed surface is defined by u=(10y-0.25y2 ) mm/s where y is in mm. Determine the force P that must be applied to the plate to cause this motion. The plate has a surface area of 5000mm2 in contact with the fluid. Take µ= 0.532 N. s/m2 (

Apiping systems consists of 6 m of 6-std type k and 12 m of 4-std type k, both drawn copper tubing. the system conveys ethylene glycol at a rate of 0.013 m3/s. the pressure drop across the system is to be calculated. there are two 90° elbows in the 6-in pipe, a reduction from the 6-in pipe to the 4-in pipe and four 90° elbows in the 4-in pipe. all fittings are soldered (same as flanged) and regular. the inlet and outlet of the system are at the same height.