06_intro - developed laminar flow Examples Flows in various...

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2.25 Ain A. Sonin & Gareth H. McKinley, MIT 6 Viscous Flows 6.1 The equation of motion for viscous flows. Surface stress; stress tensor; symmetry of the stress tensor; the equation of motion in terms of the stress tensor; 6.2 the stress tensor for Newtonian fluids; the Navier-Stokes equations; non- Newtonian fluids; summary of the governing equations and boundary conditions for incompressible flows and constant-density flows; boundary conditions for viscous flows. 6.3 Comments on the character of the Navier-Stokes equations at low and high Reynolds numbers; laminar flows and their stability; turbulence. 6.4 Some truly inertia-free flows: Steady, laminar fully developed pipe flows; laminar Couette flows with and without pressure gradient. 6.5 (Almost) inertia-free flows. Stokes flow. Criteria for quasi-steady, locally-fully-
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Unformatted text preview: developed laminar flow. Examples: Flows in various converging and diverging channels, free-surface flows, and lubrication theory. 6.6 Rayleigh's problem of the transient motion induced by a flat plate that moves in its own plane: an archetypal example of laminar viscous flow with significant inertial effects. The viscous diffusion time and its implications in various types of flows, including boundary layers in steady laminar flow. Read: Special 2.25 Notes (i) (ii) “Equation of Motion for Viscous Fluids." by A. A. Sonin. “Criteria for locally fully developed viscous flows.” By A. A. Sonin. Fay: Kundu & Cohen: Chapter 6. Chapter 5, Chapter 9.1–9.15 Problems : Shapiro & Sonin, 6.3, 6.6, 6.10, 6.13, 6.20, 6.16, 6.22, 8.3....
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.25 taught by Professor Garethmckinley during the Fall '05 term at MIT.

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