Physics Of Buoyant Flows: From Instabilities To Turbulence PDF
Preview Physics Of Buoyant Flows: From Instabilities To Turbulence
10928_9789813237797_tp.indd 1 8/5/18 3:06 PM TTTThhhhiiiissss ppppaaaaggggeeee iiiinnnntttteeeennnnttttiiiioooonnnnaaaallllllllyyyy lllleeeefffftttt bbbbllllaaaannnnkkkk 10928_9789813237797_tp.indd 2 8/5/18 3:06 PM Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. PHYSICS OF BUOYANT FLOWS From Instabilities to Turbulence Copyright © 2018 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN 978-981-3237-79-7 For any available supplementary material, please visit http://www.worldscientific.com/worldscibooks/10.1142/10928#t=suppl Desk Editor: Christopher Teo Printed in Singapore Christopher - 10928 - Physics of Buoyant Flows.indd 1 08-05-18 4:10:15 PM April18,2018 14:53 ws-book961x669 PhysicsofBuoyantFlows: FromInstabilitiestoTurbulence 10928-main pagev To my mother for her love, forbearance, and sacrifice & To my father for his uprightness, hard work, and discipline v TTTThhhhiiiissss ppppaaaaggggeeee iiiinnnntttteeeennnnttttiiiioooonnnnaaaallllllllyyyy lllleeeefffftttt bbbbllllaaaannnnkkkk April18,2018 14:53 ws-book961x669 PhysicsofBuoyantFlows: FromInstabilitiestoTurbulence 10928-main pagevii Reviews Thelastthreedecadeshaveseenanamazingamountofactivityinbuoyancydriven flows in the regime where the nonlinear terms in the dynamics play a dominant role. These flows are common in the earth’s atmosphere, in the earth’s mantle and a large number of realistic situations. The nonlinear terms can lead to a variety of instabilities as well as turbulence. The present text by Prof. Mahendra Verma, who is an acknowledged leader in this field, is a very comprehensive account of the large number of issues that are involved. The text starts with the basic set up and discusses in great detail the different instabilities in a stratified fluid, the veryinterestingissueswiththeconvectivetransportandthespectralpropertiesand anisotropiesassociatedwiththeturbulenceintheseflows. Fromstudentswhowant tolearnaboutbuoyancydrivenflowstoresearcherswhowanttolearnacalculation technique andthe specialistswho wantto look up anobscure issue-this textshould be ideal for the entire range. Jayanta K. Bhattacharjee, IACS, Kolkata In his new monograph M. K. Verma introduces a clear and rigorous mathematical framework for the description and understanding of buoyancy driven flows. Step by step and with a remarkable pedagogical effort the author leads us into a large variety of phenomena encompassing internal waves, instabilities, patterns, chaos and turbulence. Not only M. K. Verma is a prominent contributor in the field, but also an outstanding guide. I highly recommend this book to researchers and post-graduate students. Franck Plunian, Universit´e Grenoble Alpes vii April18,2018 14:53 ws-book961x669 PhysicsofBuoyantFlows: FromInstabilitiestoTurbulence 10928-main pageviii viii Physics of Buoyant Flows: From Instabilities to Turbulence The book “Physics of Buoyant Flows: From Instabilities to Turbulence” by M. K. Verma is a highly required contribution in the existing series of books on buoyancy driven flows. This book give a good combination of basic information on convective instabilities and convective flows (from supercritical transition to de- veloped turbulence) with really new methods for studying buoyancy driven flows (i.e. helical decompositions and shell models, which are not widely known in this domain of fluid mechanics), and recent results on large-scale dynamics, small-scale convective turbulence, influence of global rotation and magnetic field. The book will be useful to the students and experts in fluid dynamics. Peter Frick, Inst. Cont. Media Mech., Perm April18,2018 14:53 ws-book961x669 PhysicsofBuoyantFlows: FromInstabilitiestoTurbulence 10928-main pageix Foreword Buoyant flows are common in planetary and stellar atmospheres as well as their interiors,andinnumerousengineeringcontexts. Sincebuoyancyoftencoexistswith rotation,stronglyinhomogeneousmaterialproperties,magneticfields,etc.,buoyant flows host a variety of instabilities, patterns, waves, and turbulence. Research in this area is a rich tapestry of dimensional theories, numerical computations, and experiments as well as observations—and draws together engineers, physicists, geophysicists, astrophysicists, mathematicians, computational experts, and others. We know much about the subject but our ignorance is still profound. The book “Physics of Buoyant Flows: From Instabilities to Turbulence” is an up-to-dateaccountofbuoyantflows. Itcontainsadiscussionofbasictopicssuchas thermalinstabilities,patternformation,internalgravitywaves,rotatingconvection, magnetoconvection, and exact relations. It is partly pedagogical and can serve as an excellent resource for a graduate course on buoyancy driven flows, thermal convection, and related topics; it is also an account of current research and thus can serve equally as a useful reference for researches in the field. In particular, the author does not shy away from covering some “controversial topics” such as the kinetic and thermal energy spectrum in thermal convection, Nusselt and Reynolds number scaling, temperature fluctuations, wind reversals, and so forth. He brings many new ideas to the fore, in hopes of addressing these complex issues of thermal convection. Considering the enormity of topics covered, some of the details are presented in only enough detail to capture the attention of the reader. I don’t intend to stand for too long between the reader and the book itself, but do wish to refer to the co-called Bolgiano-Obukhov scaling as an example of the “controversial”issuesthattheauthorconsiders. TheBolgiano-Obukhovscalingwas originallyconceivedformoderatelystablebuoyantflows. Amongitsconsequencesis thatthedensityspectrumrollsoffwithapowerlawexponentof 1.4. However,this − power-law has been observed also for the temperature field in thermal convection, whichisbuoyantlyunstable. ItwasthusdeemedthattheBolgiano-Obukhovresult is applicable to unstable stratification as well. The author argues on the basis of variable energy flux that this is not so and that the appearance of the 1.4 slope − in thermal convection is largely accidental. The book also tackles other items of ix
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