Lab8 - 4.1.3 W51” 3E 319E Elementary Fluid Mechanics...

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Unformatted text preview: 4.1.3 W51” 3E 319E Elementary Fluid Mechanics Momentum La oratory Jame Date I]! ilfiy 147"” Lab time 2/ Mfg-w AIR FLOW AROUND A BEND 1) Determine the volumetric flow rate and the average velocity in the bend. To apply the momentum ,equation for steady flow through the bend, it is necessary to know the inflow and the outflow velocities. Since size of the bend is constant, the cross sectional average velocity is constant. The acceleration comes primarily from changing the direction of the velocity, not from changing its magnitude. The flow rate can be determined by using the contracting nozzle above the elbow as a flow meter. One pi-ezometer (#13 on the manometer board) is attached to the plenum chamber (pc, Fig. l") and another one (#14) is attached at the downstream end of the contraction (in). Since the pressure change is very small, the air may be assumed to be incompressible. Then, continuity gives @mm2Mmm A c 7’“ “(I [if-(”l Vin: prc ,7/1’ /'({' Air: Bernoulli’s equation may be applied along a streamline from pc to in since the effects of shear stress are negligble in this short distance with rapid acceleration of the flow. Thus, V2 V2 P0 _. in WPC+ppc+p 2 ”fifn'fpfn‘l'p 2 2 2 2 A- V- V' flpc‘l'PPC +p in i3W1}? +pin +pi APC 2 2 Fig. 1 ~ Contracting Nozzle for Me 'n :(ppc_Pin) (2pc_za'n) ‘asun gQ For this apparatus, A?” >> A3,, and [ppc —pm)>> Azpc — Zin ). Thus, Vn x ghvpc ‘Pin) Procedure: a) Read the piezometers for pc and in and then convert those readings into a pressure difference. h14 = him I —4fi cm 1113 = hpc — :3}; V5 CD1 ppc my. : mpg - aha/100 cm/rn = 98100;,” - hpcymo = Misfit ...
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  • Fall '08
  • Staff
  • Fluid Dynamics, Elementary Fluid Mechanics Momentum La, Momentum La oratory, sectional average velocity

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