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flow problems 6 Units 10 Fluid properties 12 Vectors
Fluid Statics and OneDimensional Laminar Flow
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acceleration analysis apply approximate area integral assume average Bernoulli's equation boundary condition boundary layer Chap choke flow constant continuity equation control volume coordinates cross-sectional area curve cylinder decrease density derivative determine differential equations dimensionless divergence theorem drag coefficient energy equation equations of motion experimental expression flat plate fluid depth friction factor function given by Eq gradient hydraulic jump illustrated in Fig incompressible flow index notation indicates intuition Mach number macroscopic balances mass balance material volume mechanical energy balance momentum balance nozzle obtain pipe problem rate of change rate of strain region represents result Reynolds number Reynolds transport theorem scalar components scalar product shear stress shown in Fig side of Eq solution streamline stress tensor stress vector surface forces temperature time-averaged transport theorem tube turbulent flow velocity profile viscous viscous dissipation viscous effects volumetric flow rate wave yields zero