problem 6.22 fluid mechanics, by pnueli and gutfinger

Project Description:

a long cylinder with its lower side closed is shown infig. p6.22. the cylinder contains a fluid with the vis-cosity of


= 3

10
-3

kg/m
.
s. a piston in the form of along cylinder moves into the fluid at the rate of 1 m/s.the flow between the cylinder and the piston is assumedfully developed.when flow starts, the length of the inserted part of the piston is 0.60

m, and the length it can still travel is0.40

m.a. find the velocity profile in the gap between the piston and cylinder. b. find all the points where the velocity of the fluid iszero
.
c. find the shear stress and shear rate at the cylinder wall.d. find the force pushing the piston.
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