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# 2008_Exam3 - 57:020 Mechanics of Fluids and Transport Fall...

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57:020 Mechanics of Fluids and Transport Fall 2008 EXAM #3 December 16, 2008 1. Determine the flow rate through the Venturi meter shown below if ideal conditions exist. 2. A prototype water pump has an impeller diameter of 2 ft and is designed to pump 12 ft 3 /s at 750 r/min. A 1-ft-diameter model pump is tested in 20 ° C air at 1800 r/min. According to a di- mensional analysis the pump power can be expressed as following when the Reynolds-number effects are negligible: ܲ ߩΩ ܦ ൌ ߶ ൬ ܳ Ωܦ where, ܲ is the pump power, ܳ is the volume flow rate, ߩ is the density, is the impeller rota- tion speed, and ܦ is the impeller diameter. For similar conditions, (a) what will be volume flow of the model be in ft 3 /s, and (b) what horsepower is required for the prototype if the model pump requires 0.082 hp to drive it? (For air at 20 ° C, ߩ = 0.00234 slug/ft 3 , and for water at 20 ° C, ߩ = 1.94 slug/ft 3 ) 3. Water at 20 ° C is to be pumped through 2000 ft of pipe from reservoir 1 to 2 at a rate of 3 ft 3 /s as shown below. If the pipe is cast iron of diameter 6 in. and roughness

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2008_Exam3 - 57:020 Mechanics of Fluids and Transport Fall...

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