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# ChE 222 HW7 - Middle East Technical University Department...

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Middle East Technical University Department of Chemical Engineering ChE 222 – Fluid Mechanics April 14, 2011 Homework VII (Due April 21, 2011) 1. Find the value of momentum correction factor ( β ) for pipe flow in a) laminar flow 2 2 max 1 R r v v - = b) turbulent flow n R r v v / 1 max 1 - = where, n = 6 for Re = 4x10 3 ; n = 7 for Re = 1.1x10 5 ; n = 10 for Re = 3.2x10 6 . c) Plot your results as β vs. Re Hint: For part (b) first find <v>/v max . 2. Water at 20 o C (ρ = 1 g/cm 3 , μ = 1 cp) is flowing turbulently in a U-shaped pipe bend at 0.085 m 3 /s as shown in Fig.1. What is the horizontal force exerted by the water on the U-bend? Both arms of the bend are at the same elevation. Fig.1 3. If the pump in Fig.2 develops 5 horse power (HP) on the flow, what is the flow rate? Fig.2

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4. Water at 16 o C and 14 kPa flows into a standard 2-in. ID. pipe fitting at a rate of 0.396 m 3 /min. Calculate the resultant force necessary to support the fitting in each of the following examples shown in Fig.3: (a) 135 o elbow (b) Pipe tee as shown, velocities on branches C 1
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ChE 222 HW7 - Middle East Technical University Department...

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