Meen 344- HW 9

Meen 344- HW 9 - 3 A smooth, 50 mm diameter pipe carries...

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MEEN 344: Section 502 HW Problem Set #9 (Due on 11/14/06) 1 A viscous oil flows steadily between stationary parallel plates. The flow is laminar and fully developed. The total gap width between the plates is h = 10 mm. The oil viscosity is 0.5 N-s/m 2 and the pressure gradient is -1000 N/m 2 /m. Find the magnitude and direction of the shear stress on the upper plate and the volume flow rate through the channel, per meter of width. 2 A hypodermic needle, with inside diameter d = 0.1 mm and length L = 20 mm, is used to inject saline solution with viscosity five times that of water. The plunger diameter is D = 10 mm; the maximum force that can be exerted by a thumb on the plunger is F = 45 N. Estimate the volume flow rate of saline that can be produced.
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Unformatted text preview: 3 A smooth, 50 mm diameter pipe carries water (65 o C) horizontally. When the mass flow rate is 0.075 kg/s, the pressure drop is measured to be 7.5 Pa per 100 m of pipe. Based on these measurements, what is the friction factor? What is the Reynolds number? Does this Reynolds number generally indicate laminar or turbulent flow? Is the flow actually laminar or turbulent? 4. The Moody diagram gives the Darcy friction factor, f, in terms of the Reynolds number and relative roughness. The Fanning friction factor for pipe flow is defines as 2 2 1 V C w F = where w is the wall shear stress in the pipe. Show that the relation between the Darcy and Fanning friction factors for fully developed pipe flow is given by f = 4 C F ....
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