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Modeling and computation of boundary-layer flows. Laminar, turbulent and transitional boundary layers in incompressible flows. (English) Zbl 0938.76001

Berlin: Springer. Long Beach, CA: Horizons Publishing, xv, 469 p. (1999).
This book presents a detailed introduction to the modelling and computation of two- and three-dimensional incompressible boundary-layer flows, both laminar and turbulent. The boundary-layer equations are a reduced form of Navier-Stokes equations at high Reynolds numbers, i.e. these equations are relevant to the engineering practice. One of the main purposes of this book is to discuss the limitations and accuracy of the boundary-layer equations, thus providing the user of CFD codes a good understanding of situations where the use of the boundary-layer equations is appropriate.
The material of the book can be divided into three main parts. The introductory part (ch. 1 “Introduction”, ch. 2 “Conservation equations for mass and momentum”, ch. 3 “Boundary-layer equations”) presents the derivation of basic governing equations and discusses their properties.
The next part (chapters from 4 to 8) deals with calculations of laminar and turbulent boundary layers and with the prediction of transition for two-dimensional flows. Chapter 4 “Two-dimensional laminar flows” presents classical methods for boundary-layer equations (similarity approach, Falkner-Skan equation, Pohlhausen and Thwaites’ methods) and describes some numerical techniques (Newton’s method, block-elimination method, shooting method) with the corresponding Fortran programs. Chapter 5 “Boundary-layer program for external flows” presents with Fortran codes the program BLP2 for laminar and turbulent boundary layers. The subject of chapter 6 “Transition in two-dimensional flows” is the presentation of theoretical tools for study of instabilities in boundary layers (linear stability theory, \(e^n\)-method, \(H-R_x\)-method, Orr-Sommerfeld equation), whereas chapter 7 describes a stability-transition numerical program STP. Chapter 8 “Two-dimensional turbulent flows” introduces models of varying complexity for turbulent layers (inner and outer layer models, zero- and two-equation models, Reynolds stress model, boundary layers with and without pressure gradient). A description of some computer codes concludes this chapter.
The final part (chapters from 9 to 12) extends the material of previous chapters to three-dimensional flows. Chapter 9 “Three-dimensional steady and unsteady laminar and turbulent flows” presents the theoretical background, chapter 10 is devoted to the description of the program BLP3D (a three-dimensional version of BLP2D), and chapters 11 “Transition in three-dimensional flows” and 12 “Interactive boundary-layer theory” focus mainly on theoretical aspects.
On balance, this is a very useful monograph for specialists and for graduated students, especially as the text is accompanied by many homework problems, some of which complement material in the text, and other consider some important applications of the methods discussed in the book.
Reviewer: O.Titow (Berlin)

MSC:

76-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76N20 Boundary-layer theory for compressible fluids and gas dynamics
76F40 Turbulent boundary layers
76Mxx Basic methods in fluid mechanics
76-04 Software, source code, etc. for problems pertaining to fluid mechanics
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