umn ME 3332 HW 11 info (Hogan) Spring 2011

# umn ME 3332 HW 11 info (Hogan) Spring 2011 - Find the Π...

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ME 3332 Spring 2011 HW #11 A Assigned- Monday, April 4 th , 2011 Due- Monday, April 11 th , 2011 Source Material: Class Notes, 7.1 to 7.7 “Fundamentals of Fluid Mechanics” th or 6 th edition). NO HW B PROBLEMS THIS WEEK!!!! Type A. Section 7.1 of “Fundamentals of Fluid Mechanics” by Munson, Young, th or 6 th edition). 1. The Reynolds Number, ρ VD/ μ , is a very important parameter in fluid mechanics. Verify that the Reynolds number is dimensionless using both the FLT system and the MLT system for basic dimensions. Determine the value of the Reynolds number for ethyl alcohol at 20 o C flowing at a velocity of 3 m/s through a 2 cm diameter pipe. Section 7.3 of “Fundamentals of Fluid Mechanics” by Munson, Young, th or 6 th edition). 2. The Power, P w , required to run a pump that moves fluid within a piping system is dependent upon the volume flowrate, Q , density, , impeller diameter, d , angular velocity, ω , and fluid viscosity,

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Unformatted text preview: . Find the Π terms for this relationship. 3. A thin elastic wire is placed between rigid supports. A fluid flows past the wire, and the drag force gives rise to a wire static deflection δ . Assume that = f(l, d, , , V, E) , where l is the length of wire, d the wire diameter, the fluid density, the fluid viscosity, V the fluid velocity, and E the modulus of elasticity (Pa) of the wire material. Develop a suitable set of terms for this problem. Section 7.5 of “Fundamentals of Fluid Mechanics” by Munson, Young, & Okiishi (5 th or 6 th edition). 4. A liquid spray nozzle is designed to produce a specific size droplet with diameter, d . The droplet size depends on the nozzle diameter, D , nozzle velocity, V , and the liquid properties ρ , μ , and σ . Using the common dimensionless terms found in Table 7.1, determine the functional relationship for the dependent diameter ratio of d/D ....
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umn ME 3332 HW 11 info (Hogan) Spring 2011 - Find the Π...

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