Introduction to Fluid MechanicsPrentice-Hall, 1968 - 457 pages |
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Page 214
... control volume ; 2. A , ( t ) , the area of solid moving surfaces ; 3. A ,, the area of solid fixed surfaces . - Since v W = O on the solid moving surfaces , and v = w = 0 on the solid fixed surfaces , Eq . 7.1-6 may be written in final ...
... control volume ; 2. A , ( t ) , the area of solid moving surfaces ; 3. A ,, the area of solid fixed surfaces . - Since v W = O on the solid moving surfaces , and v = w = 0 on the solid fixed surfaces , Eq . 7.1-6 may be written in final ...
Page 218
... control volume ↓ S dt Net flux of momentum leaving the control volume pv dV + pv ( v Ya ( t ) A. ( t ) = S - w ) ⚫n dA S pg dV + t ( ) dA Va ( t ) Body force A a ( t ) Surface force ( 7.2-9 ) ( 7.2-10 ) An especially useful form of Eq ...
... control volume ↓ S dt Net flux of momentum leaving the control volume pv dV + pv ( v Ya ( t ) A. ( t ) = S - w ) ⚫n dA S pg dV + t ( ) dA Va ( t ) Body force A a ( t ) Surface force ( 7.2-9 ) ( 7.2-10 ) An especially useful form of Eq ...
Page 267
... control volume and applying Eqs . 7.9-6 , 7.9-8 , and 7.9-19 . We shall use the second approach , but we need to discuss the first to gain some insight into the difficulties encountered in treating moving control volume problems ...
... control volume and applying Eqs . 7.9-6 , 7.9-8 , and 7.9-19 . We shall use the second approach , but we need to discuss the first to gain some insight into the difficulties encountered in treating moving control volume problems ...
Contents
Introduction | 1 |
Fluid Statics and OneDimensional Laminar Flow | 32 |
Kinematics | 75 |
Copyright | |
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Common terms and phrases
analysis apply area integral Bernoulli's equation boundary condition boundary layer channel Chap choke flow constant continuity equation control volume coordinates curve cylinder density derivative determine differential equations dimensionless divergence theorem drag coefficient energy equation equations of motion experimental expression flat plate friction factor function given by Eq hydraulic jump illustrated in Fig incompressible flow index notation indicates isentropic Mach number macroscopic balances mass balance material volume mechanical energy balance momentum balance nozzle obtain pipe pressure problem pv² rate of change rate of strain region result Reynolds number Reynolds transport theorem scalar components shear stress shown in Fig side of Eq solution streamline stress tensor stress vector supercritical flow surface forces temperature time-averaged transport theorem tube turbulent flow unit Va(t velocity profile viscous viscous dissipation viscous effects volumetric flow rate wave yields zero др ду