Unformatted text preview: The liquid and plates are initially at rest. At t ≥ 0, the bottom plate begins to move with a velocity of 1.5 m/s in the xdirection, and the top plate moves with a velocity of 1 m/s. No pressure gradient is applied on the fluid. Compare the velocity profiles for the following four liquids, and explain why the profiles are different: a) Water: viscosity = 0.001 kg/m.s b) Tallow: viscosity = 0.01 kg/m.s c) Olive oil: viscosity = 0.1 kg/m.s d) Glycerol: viscosity = 1 kg/m.s For simplicity, assume that all liquids have the same density: (1000 kg/m 3 ) and that they are all Newtonian fluids. Integrate the differential equation to t = 2,000 s. Use the program fluid_flow.m (download from http://sol.rutgers.edu/~constant ). III. Solve problem 6.7 (p. 439, text). Do part (c) using pdetool (in MATLAB 7.1 in C233). Print a contour plot and a 3D plot of your results showing the displacement of the membrane above the horizontal plane. y x 1 m...
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 Spring '07
 Chapman
 Music, Fluid Dynamics, Differential Equations Homework, I. Rework Example

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