Unformatted text preview: 4. A flow is described by the velocity field, j b i at V ˆ ˆ + = G , where a = 0.3 m/s 2 and b = 2.2 m/s. At t = 2s, what are the coordinates of the particle that passed through point (2, 1) at t = 0? At t = 3 s, what are the coordinates of the particle that passed through point (2, 1) at t = 2 s? Plot the pathline and streakline through point (2, 1) and compare with the streamlines through the same point at the instants t = 0, 1, and 2 s. 5. A concentric cylinder viscometer may be formed by rotating the inner member of a pair of closely fitted cylinders (see Fig. below). The annular gap is small so that a linear velocity profile will exist in the liquid sample. Consider a viscometer with an inner cylinder of 4 in. diameter and 8 in. height, and a clearance gap width of 0.001 in., filled with water at 90 o F. Determine the torque required to turn the inner cylinder at 400 rpm....
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 Fall '08
 SCHOBEIRI
 Fluid Dynamics, Force, Drag force, Kilogram, HW Problem Set

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