Fluid Mechanics and Singular Perturbations - 1st Edition - ISBN: 9780123955746, 9780323152822

Fluid Mechanics and Singular Perturbations

1st Edition

Editors: Paco Lagerstrom
eBook ISBN: 9780323152822
Imprint: Academic Press
Published Date: 1st January 1967
Page Count: 384
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Fluid Mechanics and Singular Perturbations: A Collection of Papers by Saul Kaplun focuses on the works and contributions of Saul Kaplun to the studies of fluid mechanics and singular perturbations. The book first discusses the role of coordinate system in boundary-layer theory. Boundary-layer approximations as limits of exact solutions; comparison of different boundary-layer solutions; and comparison with exact solution and choice of optimal are discussed. The text also looks at asymptotic experiment of Navier-Stokes solution for small Reynolds numbers; basic concepts in the theory of singular perturbations and their applications to flow at small Reynolds numbers; and low Reynolds number flow. The book discusses as well a generalization of Poiseuille and Couette flows and nature of solutions of the boundary-layer equations. Numerical solutions and analyses are presented. The text also looks at compatibility condition for boundary layer equation at a point of zero skin friction. Intuitive background; the past-like solution and its principal asymptotic expansions; and class of compatible profiles are discussed. The book is a valuable source of information for readers who want to study fluid mechanics.

Table of Contents

Foreword Part One Theory of Singular Perturbations with Applications to the Asymptotic Theory of the Navier-Stokes Equations Introduction to Part I Chapter I The Role of Coordinate Systems in Boundary-Layer Theory, Reprint from Journal of Applied Mathematics and Physics, Vol. V, pp. 111-135, 1954 § 1. Introduction § 2. Boundary-Layer Approximations as Limits of Exact Solutions § 3. Comparison of Different Boundary-Layer Solutions § 4. Comparison with Exact Solution. Choice of Optimal Coordinates § 5. Examples § 6. Discussion Chapter II Asymptotic Expansions of Navier-Stokes Solutions for Small Reynolds Numbers, Reprint from Journal of Mathematics and Mechanics, Vol. 6, No. 5, September, 1957, pp. 585-593 § 1. Introduction § 2. Outer and Inner Limits and Expansions § 3. Intermediate Limits § 4. Matching. Intermediate Expansions § 5. Application to Flow Past a Sphere § 6. Composite Expansion § 7. Drag § 8. Explicit Expression for for the Sphere Chapter III Low Reynolds Number Flow Past a Circular Cylinder, Reprint from Journal of Mathematics and Mechanics, Vol. 6, No. 5, September 1957, pp. 595-603 § 1. Result § 2. Derivation of u0 § 3. Derivation of g1 and u1 § 4. Composite Expansion. Lamb's Solution § 5. Influence of Non-Linear Terms: u2 and g2 § 6. Cylinder of Arbitrary Cross-Section § 7. Numerical Aspects Editors' Notes to Chapters II and III Chapter IV Basic Concepts in the Theory of Singular Perturbations and Their Applications to Flow at Small Reynolds Numbers § 1. Limits and Expansions § 2. Matching Conditions Editors' Notes to Chapter IV Chapter V Low Reynolds Number Flow: Two-Dimensional Lifting Case § 1. Characteristic Solution; Chara


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© Academic Press 1967
Academic Press
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Paco Lagerstrom

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