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An Approximate Solution Of The Boundary Layer Equations Using The Method Of Parametric Differentiation
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Book Synopsis An Approximate Solution of the Boundary Layer Equations Using the Method of Parametric Differentiation by : David Clifford Ives
Download or read book An Approximate Solution of the Boundary Layer Equations Using the Method of Parametric Differentiation written by David Clifford Ives and published by . This book was released on 1967 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study was made of the boundary layer problem, using the method of parametric differentiation. The boundary layer flow is assumed to be laminar, steady, two-dimensional, and incompressible, with no heat transfer, suction or blowing. Two methods of parametric differentiation were utilized: the first varied the outer inviscid flow; while the second varied the velocity slip at the wall. The method of parametric differentiation is well suited to solve the non-linear boundary layer equations. A related linear partial differential equation, coupled with a first order ordinary non-linear differential equation, is produced by the application of this method. A formal higher approximation procedure was developed to accurately solve the ensuing linear partial differential equation, replacing the 'local solution' approximation used heretofore. This higher approximation procedure is couched in terms which allow the application of asymptotic methods. The result of this analysis is an integral equation describing the rate of change of the velocity field with respect to a parameter. (Author).
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of Equations in the Two Parameter Theory of the Boundary Layer by : E. F. Ozerova
Download or read book Numerical Solution of Equations in the Two Parameter Theory of the Boundary Layer written by E. F. Ozerova and published by . This book was released on 1972 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper presents a numerical solution of problems of the parametric boundary layer theory in a two-parameter approximation. The partial differential boundary layer equation is solved by a finite difference method using an implicit difference scheme, and the results obtained serve as the initial data. The derivatives in the original equation are replaced by finite difference equations, and the resulting system is solved by a brute force method. A table lists the numerical results obtained by computer.
Book Synopsis Technical Abstract Bulletin by : Defense Documentation Center (U.S.)
Download or read book Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and published by . This book was released on 1967 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Boundary Function Method for Singular Perturbed Problems by : Adelaida B. Vasil'eva
Download or read book The Boundary Function Method for Singular Perturbed Problems written by Adelaida B. Vasil'eva and published by SIAM. This book was released on 1995-01-01 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted solely to the boundary function method, which is one of the asymptotic methods.
Book Synopsis An Approximate Solution of the Laminar Boundary Layer Equations by an Evolutionary Finite Element Method by : B. R. Williams
Download or read book An Approximate Solution of the Laminar Boundary Layer Equations by an Evolutionary Finite Element Method written by B. R. Williams and published by . This book was released on 1976 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral Methods in the Theory of the Boundary Layer by : Lev Gerasimovich Loĭt͡si͡anskiĭ
Download or read book Integral Methods in the Theory of the Boundary Layer written by Lev Gerasimovich Loĭt͡si͡anskiĭ and published by . This book was released on 1944 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of the well-known basic principle of mechanics, the principle of Jourdain, to problems of the theory of the boundary layer leads to an equation from which the equations of Von Karman, Leibenson, and Golubev are derived as special cases. The given equation may be employed in other integral methods. The present paper deals with the method of the variation of the thickness of the boundary layer. A number of new approximate formulas valuable in aerodynamic calculations for the fristion distribution are derived from this procedure. The method has been applied only to laminar boundary layers, but it seems probable that it may be generalized to include turbulent layers as well.
Book Synopsis OAR Cumulative Index of Research Results by :
Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Partial Differential Equations by : W. F. Ames
Download or read book Nonlinear Partial Differential Equations written by W. F. Ames and published by Academic Press. This book was released on 2014-05-12 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications. Separating 19 lectures into chapters, this book starts with a presentation of the methods of similarity analysis, particularly considering the merits, advantages and disadvantages of the methods. The subsequent chapters describe the fundamental ideas behind the methods for the solution of partial differential equation derived from the theory of dynamic programming and from finite systems of ordinary differential equations. These topics are followed by reviews of the principles to the lubrication approximation and compressible boundary-layer flow computation. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer. The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. This book will prove useful to applied mathematicians, physicists, and engineers.
Download or read book Report written by and published by . This book was released on 1957 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research & Development Reports by :
Download or read book U.S. Government Research & Development Reports written by and published by . This book was released on 1967 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Annual Report - National Advisory Committee for Aeronautics by : United States. National Advisory Committee for Aeronautics
Download or read book Annual Report - National Advisory Committee for Aeronautics written by United States. National Advisory Committee for Aeronautics and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes the Committee's Technical reports no. 1-1058, reprinted in v. 1-37.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Difference Methods for Singular Perturbation Problems by : Grigory I. Shishkin
Download or read book Difference Methods for Singular Perturbation Problems written by Grigory I. Shishkin and published by CRC Press. This book was released on 2008-09-22 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods. The first part of the book e
Book Synopsis Analytical Fluid Dynamics by : George Emanuel
Download or read book Analytical Fluid Dynamics written by George Emanuel and published by CRC Press. This book was released on 2017-09-18 with total page 1091 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Edition Now Covers Shock-Wave Analysis An in-depth presentation of analytical methods and physical foundations, Analytical Fluid Dynamics, Third Edition breaks down the "how" and "why" of fluid dynamics. While continuing to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced analytical approaches to aid in the analytical process and corresponding physical interpretation. It also addresses the need for a more flexible mathematical language (utilizing vector and tensor analysis and transformation theory) to cover the growing complexity of fluid dynamics. Revised and updated, the text centers on shock-wave structure, shock-wave derivatives, and shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and outlines operator methods and laminar boundary-layer theory. In addition, the discussion introduces pertinent assumptions, reasons for studying a particular topic, background discussion, illustrative examples, and numerous end-of-chapter problems. Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material that includes: Viscous dissipation The second law of thermodynamics Calorically imperfect gas flows Aerodynamic sweep Shock-wave interference Unsteady one-dimensional flow Internal ballistics Force and momentum balance The Substitution Principle Rarefaction shock waves A comprehensive treatment of flow property derivatives just downstream of an unsteady three-dimensional shock Shock-generated vorticity Triple points An extended version of the Navier‒Stokes equations Shock-free supersonic diffusers Lift and thrust from an asymmetric nozzle Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book provides an authoritative interpretation of formulations and procedures in analytical fluid dynamics, and offers analytical solutions to fluid dynamic problems.
Book Synopsis Numerical Methods for Singularly Perturbed Differential Equations by : Hans-Görg Roos
Download or read book Numerical Methods for Singularly Perturbed Differential Equations written by Hans-Görg Roos and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of singular perturbed differential equations began early in this century, when approximate solutions were constructed from asymptotic ex pansions. (Preliminary attempts appear in the nineteenth century [vD94].) This technique has flourished since the mid-1960s. Its principal ideas and methods are described in several textbooks. Nevertheless, asymptotic ex pansions may be impossible to construct or may fail to simplify the given problem; then numerical approximations are often the only option. The systematic study of numerical methods for singular perturbation problems started somewhat later - in the 1970s. While the research frontier has been steadily pushed back, the exposition of new developments in the analysis of numerical methods has been neglected. Perhaps the only example of a textbook that concentrates on this analysis is [DMS80], which collects various results for ordinary differential equations, but many methods and techniques that are relevant today (especially for partial differential equa tions) were developed after 1980.Thus contemporary researchers must comb the literature to acquaint themselves with earlier work. Our purposes in writing this introductory book are twofold. First, we aim to present a structured account of recent ideas in the numerical analysis of singularly perturbed differential equations. Second, this important area has many open problems and we hope that our book will stimulate further investigations.Our choice of topics is inevitably personal and reflects our own main interests.
Book Synopsis Government-wide Index to Federal Research & Development Reports by :
Download or read book Government-wide Index to Federal Research & Development Reports written by and published by . This book was released on 1967-10 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt:
