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Calculate the mass flow rate of oil

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Reference no: EM131122739

Show all assumptions, derivations, integrals and calculations-

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Oil is being driven upwards along the inclined plane by a belt moving with a constant velocity of U= 1 m/s. The width of the belt is b=1 m and its length is L = 20 m. The flow of oil between points A and B is assumed to be laminar and fully developed.

a. Using Navier Stokes equations show that the pressure field and velocity profile is given as:

P = Patm + ρg(Cosθ)h - ρg(Cosθ)y

U = (gSinθ/v)(y2/2) + [(U/h) - (gSinθ/v)(h/2)]y

DO IT STEP BY STEP SHOWING EVERY ASSUMPTION AND SIMPLIFICATION

b. Calculate the mass flow rate of oil.

c. What is the gage pressure PC(N/m2) at point C?

d. What is the power(Watts) used by the belt to draw up the oil along the inclined plane between points A and B?

e. Where will be the deviations from fully developed assumption? Overall, how good is the fully developed assumption in this flow? Explain in a few sentences.

Reference no: EM131122739

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