HW2_SOLUTIONS(1) - ENU 4134 Homework Assignment #2...

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Unformatted text preview: ENU 4134 Homework Assignment #2 SOLUTIONS Fall 2011 D. Schubring 1 ENU 4134 Homework Assignment #2 SOLUTIONS Fall 2011 a. Brief derivations and final equations used to evaluate all 5 components of pressure drop. 2 pts for each 2-phase term; 1 pt for each 1-phase term. NOTE: closed-form solutions were expected. If you saw an ugly integral in a 2-phase calculation and punted to a numerical solver, 1/2 each. Acceleration: P acc = L boil G 2 m vol fg dx dz dz (1) P acc = L boil G 2 m vol fg dx dz (2) Friction (one-phase) not really any derivation needed: f lo = 0 . 184 G m D f- . 2 (3) P fric, 1- phase = f lo G 2 m L sub 2 rho f (4) Gravity (one-phase) not really any derivation needed: P grav, 1- phase = L sub f g (5) Friction (two-phase) P fric, 2- phase = L boil f TP D G 2 m 2 m ( z ) dz (6) P fric, 2- phase = f TP G 2 m 2 D L boil 1 m ( z ) dz (7) P fric, 2- phase = f TP G 2 m 2 D L boil x g + 1- x f dz (8) P fric, 2- phase = f TP G 2 m 2 D L boil z dx dz g + 1- z dx dz f dz (9) P fric, 2- phase = f TP G 2 m 2 D L boil z dx dz g + 1- z dx dz f dz (10) P fric, 2- phase = f TP G 2 m 2 D z 2 dx dz 2 1 g- 1 f + z f z = L boil z =0 (11) P fric, 2- phase = f TP G 2 m 2 D L 2 boil dx dz 2 1 g- 1 f + L boil f (12) P fric, 2- phase = f TP G 2 m 2 D L 2 boil dx dz 2 vol fg + L boil vol f (13) ENU 4134 Homework Assignment #2 SOLUTIONS Fall 2011 D. Schubring 2 Gravity (two-phase) P grav, 2- phase = L boil g m ( z ) dz (14) P grav, 2- phase = g L boil x...
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This note was uploaded on 10/22/2011 for the course ENU 4134 taught by Professor Schubring during the Fall '11 term at University of Florida.

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HW2_SOLUTIONS(1) - ENU 4134 Homework Assignment #2...

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