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Instability and Transition: Materials of the workshop held May 15–June 9, 1989 in Hampton, Virginia PDF

508 Pages·1990·34.086 MB·English
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Instability and Transition Volume II ICASE/NASA LaRC Series Stability of Time Dependent and Spatially Varying Flows D.L. Dwoyer and M.Y. Hussaini (eds.) Studies of Vortex Dominated Flows M.Y. Hussaini and M.D. Salas (eds.) Finite Elements: Theory and Application D.L. Dwoyer, M.Y. Hussaini and R.G. Voigt (eds.) Instability and Transition, Volumes I and II M.Y. Hussaini and R.G. Voigt (eds.) M.Y. Hussaini R.G.Voigt Editors Instability and Transition Materials of the workshop held May 15-June 9,1989 in Hampton, Virginia Volume II With 187 illustrations Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Hong Kong M.Y. Hussaini R.G. Voigt Institute for Computer Applications in Science and Engineering (ICASE) ICASE NASA Langley Research Center Hampton, VA 23665 U.S.A. Library of Congress Cataloging-in-Publication Data Instability and transition 1 [edited by 1M .Y. Hussaini, Robert Voigt. p. cm. - (ICASE/NASA LaRC series) Proceedings of a workshop on Instability and Transition, held May 15-June 9, 1989, sponsored by the Institute for Computer Applications in Science and Engineering (ICASE) and the Langley Research Center (LaRC). 1. Fluid dynamics - Congresses. 2. Transition flow - Congresses. 3. Stability-Congresses. I. Hussaini, M. Yousuff. II. Voigt, Robert G. III. Institute for Computer Applications in Science and Engineering. IV. Langley Research Center. V. Series. TA357.155 1990 532'.0526-dc20 90-9806 ISBN-13:978-1-4612-8009-5 Printed on acid-free paper. © 1990 Springer-Verlag New York Inc. Softcover reprint of the hardcover 1st edition 1990 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar meth- odology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Camera-ready copy provided by the editors using TeX. 9 8 7 6 5 4 3 2 1 ISBN-13:978-1-4612-8009-5 e-ISBN-13:978-1-4612-3432-6 DOl: 10.1007/978-1-4612-3432-6 PREFACE These two volumes contain the proceedings of the workshop on Instability and Transition, sponsored by the Institute for Computer Applications in Science and Engineering (ICASE) and the Langley Research Center (LaRC), during May 15 to June 9, 1989. The work shop coincided with the initiation of a new, focused research pro gram on instability and transition at LaRC. The objectives of the workshop were to (i) expose the academic community to current technologically important issues of instability and transition in shear flows over the entire speed range, (ii) acquaint the academic com munity with the unique combination of theoretical, computational and experimental capabilities at LaRC and foster interaction with these facilities, (iii) review current state-of-the-art and propose fu ture directions for instability and transition research, (iv) accelerate progress in elucidating basic understanding of transition phenomena and in transferring this knowledge into improved design methodolo gies through improved transition modeling, and (v) establish mech anisms for continued interaction. The objectives (i) to (iii) were of course immediately met. It is still premature to assess whether ob jectives (iv) and (v) are achieved. The workshop program consisted of tutorials, research presenta tions, panel discussions, experimental and computational demonstra tions, and collaborative projects. There were tutorials on Applica tions of Transition Research (Bushnell), Challenging Research Top ics in Stability and Transition (Morkovin), Initiation and Evolution of Disturbances in Shear Flows (Morkovin), Flight Transition Re search (Holmes), Theoretical Tools (Hall), Measurement Techniques (Gaster), Modeling of Laminar-Turbulent Transition (Narasimha), Laminar Flow Control in Flight Research (Wagner), 3 Ft. Transonic Pressure Tunnel Laminar Flow Control Research (Bobbitt and Har vey), Computational Tools (Zang), and Effects of Flow Quality on Transition (Bobbitt). There were also numerous demonstrations on experimental techniques. Special sessions were devoted to research presentations on Gortler vortices, crossfiow vortices, compressible boundary layer stability. These proceedings contain only panel discussions and the research papers resulting from the collaborative projects started during the workshop and completed shortly thereafter. There were six panels with three to six members in each - the Theory Panel was chaired v by Sir James Lighthill, the Low-Speed Experiment Panel by Percy Bobbitt, the High-Speed Experiment Panel by Dennis Bushnell, the Computation Panel by Steven Orszag, the Receptivity Panel by Eli Reshotko, and the Roughness Panel by Mark Morkovin. The par ticipants of the workshop were divided into several focused groups, each hosted by either a Langley or an ICASE scientist: Experiments (Wilkinson, Dagenhart), Receptivity (Gatski), Advanced Asymp totics (Hall), Boundary Layer Stability (Erlebacher), Free Shear Flows (Macaraeg), Compressible Stability and Transition (Malik), Transi tion Simulation (Zang, Streett), and Transition Modeling (Speziale). The first volume contains the panel summaries and the position papers by the panelists as well as the research papers of the Experi ment Group and the Receptivity Group. The second volume contains the research papers from the remaining groups. The success o~ the workshop was in no small part due to the contributions of the 'indi viduals noted above. We thank all the participants of the workshop for making it such an exciting event. We are deeply grateful to Lee Beach and Roy Harris whose sup port and encouragement was essential from the conception through the execution of the workshop; we are thankful to Richard Barn well and Edwin Prior for their continuous assistance. Then there are many other Langley scientists and logistical staff whose assistance and cooperation contributed to the smooth operation of the work shop. Our thanks are due to them all, in particular Percy Bobbitt, Dennis Bushnell, Douglas Dwoyer, and Manuel Salas. It is a pleasure to express our sincere appreciation to Linda John son and Emily Todd who handled all the preliminary arrangements for the workshop, to Holly Joplin, who served as the workshop secre tarYi and to Etta Blair, who handled reimbursement for the partici pants. We are also appreciative of Emily Todd who coordinated the collection of manuscripts and facilitated their editing, and to Bar bara Stewart who typed the majority of manuscripts. Thanks are also due to Zvi Ruder and other staff of Springer-Verlag for their cooperation in bringing out these volumes. M. Y. Hussaini R. G. Voigt V1 Contents Prefa.ce V It ••••••••••••••• ,., ••••• II •••••••••••••••••••••••••••• II M. Y. Hu"aini and R. G. Voigt Contributors ........................................ , ....... xvi Group Summary: Advanced Asymptotics ................. 3 P. Hall Near-Planar TS Waves and Longitudinal Vortices in Channel Flow: Nonlinear Intera.ction and Focussing ............. 5 P. Hall and F. T. Smith Amplitude-Dependent Neutral Modes in Compressible Boundary Layer Flows ......................................... 40 J. S. B. Gajjar Effects of Strea.mwise Curvature Variations on Gartler Vortices ................................................ 67 S. Jallade Group Summary: Boundary Layer Stability .............. 81 Gordon Er.lebacher The Effect of Approximations to the Thermodynamic Properties on the Stability of Compressible Boundary Layer Flow .......................................... 85 Fabio Bertolotti Analysis of Three-Dimensional Structures in Boundary Layers ............................................... 99 Jeffrey D; Crouch The Inviscid Stability of Supersonic Flow Past Axisymmetric Bodies ......................................... 110 Peter W. Duck Vll A Code for Linear Stability Analysis .......................... 121 Thorwald Herbert On the Continuous Spectra of the Compressible Boundary Layer Stability Equations ........................... 145 David E. Ashpis and Gordon Erlebacher Modulational Stability of Rotating-Disk Flow ................. 160 D. N. Riahi Group Summary: Free Shear Flows ...................... 173 Michele G. Macaraeg Bounded Free Shear Flows: Linear and Nonlinear Growth ........................ , ...... , ............ , .... , ..... 177 Michele G. Macaraeg On the Classification of Unstable Modes in Bounded Compressible Mixing Layers .................................. 187 T. L. Jackson and C. E. Grosch Numerical Simulations of Compressible Mixing Layers ......... 199 Xavier Normand Accurate Calculation and Instability of Supersonic Wake Flows .................................................. 216 D. T. Papageorgiou Group Summary: Compressible Stability and Transition ................................................... 233 Mujeeb R. Malik Effect of Wall Suction and Cooling on the Second Mode Instability .............................................. 235 M. R. Malik and A. A. Godil On the Design of a New Mach 3.5 Quiet Nozzle ............... 246 Fang-Jenq Chen, Mujeeb R. Malik, and Ivan E. Beckwith Vlll On the Modelling of Roughness Effects ........................ 258 J. M. Floryan The Stability of a Three Dimensional Laminar Boundary Layer over a Swept Flat Plate ...................... 268 B. Miillerl H. Bippesl and F. S. Collierl Jr. Group Summary: Transition Simulation 1 ............... 281 Thomas A. Zang Direct Numerical Simulation of the Transitional Zone ......... 283 Thomas A. Zangl Norbert Gilberti and Leonhard Kleiser Nonlinear Development of Crossflow Vortices .................. 300 B. A. Singerl F. Meyerl and L. Kleiser Instabilities in Rotating Channel Flow ........................ 313 Lian Ngi Bart A. Singerl Dan S. Henningsonl and P. Henrik Alfredsson Group Summary: Transition Simulation 2 ............... 333 C. L. Streett A Study of Turbulence Models for Prediction of Transitional Boundary Layers ................................. 335 Ridha Abid Numerical Simulation of Transition in a Rotating Disk Flow .................................................... 352 S. Balachandar and C. L. Streett Numerical Study of Subcritical Flow with Fluid Injection ...................................................... 364 R. Balasubramanian Numerical Simulation of Spatially-Evolving Instability .................................................... 394 G. Danabasoglul S. Biringenl and C. L. Streett IX Linear Spirals in the Finite Couette-Taylor Problem ........... 408 W. Stuart Edwards Control of the Vortical Structure in the Early Stages of Transition in Boundary Layers ...................... 426 Nabil M. El-Hadll On the Numerical Simulation of Spatial Disturbances in a Blunt-N OBe Flat Plate Flow .............................. 443 E. Laurien Group Summary: Transition Modeling .................. 451 Charles G. Speziale Comparison of Two Transition Models ........................ 453 Surya P. G. DioofJahi Application of the Algebraic RNG Model for Tran.sition Simulation ......................................... 463 Thomas S. Lund Application of Renormalization Group Theory to the Large-Eddy Simulation of Transitional Boundary Layers ........................................................ 480 Ugo Piomelli, Thomas A. Zang, Charles G. Speziale, and Thomas S. Lund x

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