# PS5 - τ g but there are differences(a By comparing the MBE...

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ChemE 3230 (Spring 2011) Problem Set #5 (Due by 03/18/2011) 1.0 A plant piping system takes a liquid process stream ( µ = 60 cP, S.G. = 0.9) from one vessel at 20 psig to another vessel at 80 psig. The system contains 1000 ft. of 2 in Sch 40 pipe, 40 standard elbows, and 7 globe valves. If the downstream vessel is 15 ft. higher than the upstream vessel, what horsepower pump would be required to transport the fluid at a rate of 100 gpm, assuming a pump efficiency of 85%? [25 points] 2.0 Beginning on page 147, Denn derives the microscopic momentum balance for fluid flow. The final equations obtained (Eqs 7.3.1a, 7.3.1b, 7.3.1c), are similar in form to the more compact result derived in the class notes, ( ρ v ) t = −∇ ⋅ ( vv ) - p − ∇ ⋅
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Unformatted text preview: τ + g , but there are differences. (a) By comparing the MBE derivations presented in the class notes and discussed in Denn, identify the source(s) of any discrepancies. (b) Show that a sign change in the definition of the momentum flux tensor (stress tensor) is sufficient to ensure agreement between the two sets of equations. [30 points] 3.0 The pressure in the water main serving your house is 90 psig. The plumbing between the main and your outside faucet contains 250 ft of galvanized ¾ in. Sch 40 pipe, 16 elbows, and the faucet, which is an angle valve. When the faucet is wide open, what is the water flow rate in gpm? [25 points] 4.0 Denn 5.3 (25 points) 5.0 Denn 5.5 (25 points) 6.0 Denn 6.9 (25 points)...
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## This note was uploaded on 02/01/2012 for the course CHEME 3230 taught by Professor L.archer during the Spring '10 term at Cornell.

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