turb+mixing%202MM

turb+mixing%202MM - 1 FACE8 Turbulence and Mixing FACE8...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 FACE8 Turbulence and Mixing FACE8 2006 Turbulence and Mixing 2 FACE8 Turbulence and Mixing Recommended reading Frank M. White (1991): Viscous fluid flow, McGraw- Hill International Editions, Mechanical Engineering Series. ISBN0-07-100995-7 H. Schlichting and K. Gersten (2002). Boundary layer theory, 8th revised and enlarged edition, Springer Verlag. ISBN 3-540-66270-7 Also previous editions are recommended (published by McGraw- Hill)! Munson, Young and Okiishi. Fundamentals of Fluid Mechanics General fluidmechanics books normally have a chapter on boundary layers A. Walz (1966). Strmungs- und Temperaturgrenzschichten, 1st edition, Braun Also in english G.M. Homsy et al (2000). Multi-media Fluid Mechanics, Cambridge University Press. ISBN 0-521-78748-3 Ber & Chigier (1972). Combustion aerodynamics. Applied Science Publ. ISBN 0 85334 513 9 3 FACE8 Turbulence and Mixing Structure of lecture 2 8.15-8.30 Introduction 8.30-9.00 Boundary layers 9.00-9.15 Break 9.15-9.45 Boundary layers 9.45-10.30 Problem solving session 10.30-10.45 Break 10.45-11.15 Problem solving session 11.15-11.30 Presentation of results 11.30-12.00 BL+free shear flows 4 FACE8 Turbulence and Mixing Fundamentals of boundary layers 2 2 1 y u x p y u v x u u t u + = + + The boundary layer The governing (Prandtls) equations = y p = + y v x u 5 FACE8 Turbulence and Mixing Some general observations of turbulent flows and fluids ... I n g e n e r a l By introducing some user-defined reference variables we can non-dimensionalise the above Density (mass), length and velocity (time) ] / [ ] [ 3 2 1 m N x x v x p Dt Dv s x v k k i i i i i + = = 6 FACE8 Turbulence and Mixing General thoughts contd... W e g e t And re-introduce into our governing equations L tU t U p p U v v L x x i i i i = = = = * 2 * * * ; ; ; ] [ ] [ * * * 2 * * * * * * + = = k k i i i i i x x v UL x p Dt Dv x v 7 FACE8 Turbulence and Mixing General thoughts contd... O r F o r R e we get the Euler equations for ideal fluids No friction Balance between inertia and pressure forces But... This gives slip velocity on boundaries, and empirical observations contradict this (at least for continua, with Kn<0.02) So we need a different treatment of the near- wall areas to adhere to the no-slip principle ] [ Re 1 * * * 2 * * * * + = k k i i i x x v x p Dt Dv 8 FACE8 Turbulence and Mixing Inside the boundary layer Point P: u=0 (no-slip) Point Q: u=0.99U Balance between inertial and pressure forces Balance between inertial, pressure and viscous forces n u = n 9 FACE8 Turbulence and Mixing How fast does a laminar boundary layer grow?...
View Full Document

This note was uploaded on 09/16/2011 for the course ME 563 taught by Professor Staff during the Spring '11 term at Auburn University.

Page1 / 72

turb+mixing%202MM - 1 FACE8 Turbulence and Mixing FACE8...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online