Table Of ContentInstability 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
