Lecture2-Momentum-Deficit-condensed

Lecture2-Momentum-Deficit-condensed - Experiment #2...

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Experiment # 2 Momentum Deficit Behind a Cylinder 650:431 MAE Senior Labs
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Momentum Deficit d'Alembert's Paradox
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Momentum Deficit Inviscid flow
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Momentum Deficit Momentum Equation • Newtonian Fluid: Navier-Stokes Equations • Special Case: Euler’s Equation
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Momentum Deficit Boundary layer on a flat plate
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Momentum Deficit Boundary Layer thickness
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Momentum Deficit Laminar Flat-Plate Boundary Layer: Exact Solution • Governing Equations • Boundary Conditions
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Momentum Deficit Laminar Flat-Plate Boundary Layer: Exact Solution • Equations are Coupled, Nonlinear, Partial Differential Equations • Blasius Solution: – Transform to single, higher-order, nonlinear, ordinary differential equation
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Momentum Deficit Laminar Flat-Plate Boundary Layer: Exact Solution • Results of Numerical Analysis
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Momentum Deficit Boundary Layer Application
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Momentum Deficit Effect of pressure gradient
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Momentum Deficit Real flows and boundary layer separation • Separation occurs when main stream leaves the surface of a body • The geometry of the body strongly impacts the separation point • Adverse pressure gradient may cause separation • Pressure variation before separation is similar to inviscid case • Pressure distribution is not symmetric
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Momentum Deficit Some regimes of flow over a cylinder
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Momentum Deficit Problem Statement Find the drag force on the rod located in a 2.0 mph 40 °F water stream Use analogy with air flow normal to a model cylinder in a wind tunnel Estimate the error in the drag force Water, 40 °F 2.0 mph 0.5” rod
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Momentum Deficit Available Major Equipment • 6 x 6 inch in cross section wind tunnel • Hot film anemometer to measure air speed • Model cylinder to place in the wind tunnel
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This note was uploaded on 09/30/2011 for the course MECH 486 taught by Professor Zho during the Spring '11 term at Rutgers.

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Lecture2-Momentum-Deficit-condensed - Experiment #2...

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