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hw7asol-dist - ρ = 1400 kg/m 3 μ = 0.001 Pa s 75 m 12 m...

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CBE 320 October 12, 2009 Transport Phenomena Problem Session VII Part A: Macroscopic Balances (Isothermal Systems) 1. An incompressible, Newtonian liquid (constant ρ = 10 3 kg/m 3 , μ = 10 3 Pa · s) flows into a tank at a flow rate w in = 1 kg/s, as depicted in the figure below. The liquid then flows out of the tank through a pipe ( D = 0 . 025 m, L = 1 m). g H = ? L = 1 m w in w out By reducing the appropriate macroscopic balances, determine: a. the steady-state mass flow rate out of the pipe, w out . b. the steady-state height of the liquid in the tank, H . 2. A fire fighting boat must deliver a jet of water as high as 75 m. A pump draws water out of the bay (22 C) and then forces it through a hose (I.D. 6 cm). The process is depicted below. The properties of sea water are:
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Unformatted text preview: ρ = 1400 kg/m 3 , μ = 0.001 Pa · s. 75 m 12 m a. Assuming the hose exit is smooth ( i.e., the end is a straight cylinder without a nozzle), calculate the velocity out o± the end o± the hose required to obtain a height o± 75 m above sea level. Hint: the fow is straight up and the velocity slows as the elevation increases. b. ²or the velocity obtained in part (a), determine the power required. The total length o± hose is 15 m, and there are two 90 ◦ rounded elbows. 1 Solutions 1 HW 7A - Solutions 1/2 djk 10/12/09 2/3 3/3...
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