Pump Water w=1000Kg/m3w=1.3x10-6 m2/s g=9.8m/s2A pipe S. Yavuzkurt ME 320 2&3 Sept. 30, 2011 Fall 2011 DUE: OCT. 7, IN CLASS HW# 4 Show all assumptions, derivations, integrals and calculations An experimental vehicle with a water (w=1000Kg/m3,w=1.3x10-6 m2/s) propulsion system is being tested as shown in the figure. The details of the propulsion system are also given. The vehicle rides on an oil film (o=900 Kg/m3, o=0.0001 m2/s) h= 1mm thick with a linear velocity profile. The velocity at point A is measured with a U-tube manometer containing mercury (m=13,550 Kg/m3). The velocity profile in the pipe in fully-developed part of the flow is given as u/Umax=(1-r/R)1/7. (Hint: to integrate (1-r/R)1/7use change of variables e.g. 1-r/R) a.What is a boundary layer? What is the difference between the boundary layer and the region outside? What is the difference between a boundary layer flow and a fully-developed flow? Explain each with one or two sentences. b.What is the pressure difference P
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