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Free_shear_flows(1)
Course: ME 563, Spring 2011School: Auburn
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Flow Turbulent and Transport 4 4.1 4.2 Free Shear Flows I: Jets, Wakes, etc.Solutions Based on Simple MeanFlow Closure Schemes Meanflow closure schemes for free shear flows. Spreading of a velocity discontinuity with downstream distance in steady flow. The nature of the laminar flow solution and its stability. Similarity solution for turbulent flow, based on Prandtls second closure hypothesis. Comparison with...
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Flow Turbulent and Transport
4
4.1 4.2
Free Shear Flows I: Jets, Wakes, etc.Solutions Based on Simple MeanFlow Closure Schemes
Meanflow closure schemes for free shear flows. Spreading of a velocity discontinuity with downstream distance in steady flow. The nature of the laminar flow solution and its stability. Similarity solution for turbulent flow, based on Prandtls second closure hypothesis. Comparison with experiment. Plane and axisymmetric jets. The momentum flow constraint. Comments on laminar jets and their stability. Scaling laws for jet width (radius) and maximum velocity in turbulent jets. Similarity solution for the far region based on Prandtls second closure hypothesis. Comparison with experiment. Entrainment in jets and secondary flows induced by jets. Simple integral methods for jets based on an entrainment hypothesis. Plane and axisymmetric wakes. The momentum defect constraint. Scaling laws width velocity and defect in turbulent wakes. Similarity and integral solutions for far wake region.Comparison with experiment. Distribution of passive scalars (concentration or temperature) in the far region of jets and wakes, neglecting buoyancy effects.
4.3
4.4 for 4.5
Readings:
White. 2nd ed. 470481 (see also pp. 253260, 301304 for laminar flow). Pope. Chap. 4 & 5 Schlichting. 7th ed. Chap. 24 (see also pp. 183185 for laminar flow). For turbulent shear layer: Champagne, Pao, & Wygnaski, J. Fluid Mech ., 74 (1976): 209250. Hinze. Chapter 6. Abramovich. The Theory of Turbulent Jets: 103113, 120125. Rajaratnam. "Turbulent Jets." Elsevier, 1976. Rodi. I n "Studies in Convection" B. E. Launder. ed. Academic Press, 1975: 79 ff. Townsend. Chap.6 in The Structure of Turbulent Shear Flow. 2nd ed. Cambridge, 1976.
Further reading:
Handouts:
Selected experimental data & summaries.
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