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Unformatted text preview: 57:020 Mechanics of Fluids and Transport Fall 2007 EXAM #1 October 8, 2007 1. A Newtonian fluid having a specific gravity of 0.92 ( O@ C = 1000 kg/m3) and a kinematic viscosity of 4 × 104 m2/s flows past a fixed surface. The velocity profile near the surface is shown
in Fig. 1. Determine the (a) magnitude and (b) direction of the shearing stress developed on the
plate when = 1 m/s, = 2 mm. (Hint:
)
2. The Panel
in the slanted side of a water tank (
= 9790 N/m3) is a rectangle of width 2m,
as in Fig. 2. Find (a) the water force on the panel and (b) its line of action (center of pressure).
⁄12)
(Hint: sin 2 Figure 1 Figure 2 3. In Fig. 3 the flowing fluid is water at 20°C. Neglect losses. If = 170 kPa and the manometer
fluid is a liquid which is heavier than water, estimate (a) and (b) the flow rate in m3/hr.
(
1360 Kg⁄m ,
998.2 Kg⁄m @20°C)
4. Flow through the converging nozzle in Fig.4 can be approximated by the onedimensional unsteady velocity distribution along the centerline
, 1 2 , 1 ft⁄s and 6 in Find the (a) local and (b) convective accelerations and (c) the pressure gradient ⁄ of the
⁄2) at = 1 second. Assume that viscosity effects are
fluid at the middle of the nozzle (
negligible. (
1.0 lbm⁄ft , Hint: Euler equation
) 1 3 2 Figure 3 Figure 4 ...
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 Fall '10
 FredrickStern
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