Download or read book The Numerical Solution of the Laminar Boundary Layer Equations in a Compressible Fluid written by Peter Graham Courtney and published by . This book was released on 1971 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Solution of the Equations for Compressible Laminar Transitional and Turbulent Boundary Layers and Comparisons with Experimental Data written by Julius E. Harris and published by . This book was released on 1971 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical method for solving the equations for laminar, transitional, and turbulent compressible boundary layers for either planar or axisymmetric flows is presented. The fully developed turbulent region is treated by replacing the Reynolds stress terms with an eddy viscosity model. The mean properties of the transitional boundary layer are calculated by multiplying the eddy viscosity by an intermittency function based on the statistical production and growth of the turbulent spots. A specifiable turbulent Prandtl number relates the turbulent flux of heat to the eddy viscosity. A three-point implicit finite-difference scheme is used to solve the system of equations. The momentum and energy equations are solved simultaneously without iteration. Numerous test cases are compared with experimental data for supersonic and hypersonic flows; these cases include flows with both favorable and mildly unfavorable pressure gradient histories, mass flux at the wall, and traverse curvature.
Download or read book Laminar Flow Analysis written by David F. Rogers and published by Cambridge University Press. This book was released on 1992-10-30 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The major thrust of this book is to present a technique of analysis that aids the formulation, understanding, and solution of problems of viscous flow. The intent is to avoid providing a "canned" program to solve a problem, offering instead a way to recognize the underlying physical, mathematical, and modeling concepts inherent in the solutions. The reader must first choose a mathematical model and derive governing equations based on realistic assumptions, or become aware of the limitations and assumptions associated with existing models. An appropriate solution technique is then selected. The solution technique may be either analytical or numerical. Computer-aided analysis algorithms supplement the classical analyses. The book begins by deriving the Navier-Stokes equation for a viscous compressible variable property fluid. The second chapter considers exact solutions of the incompressible hydrodynamic boundary layer equations solved with and without mass transfer at the wall. Forced convection, free convection, and the compressible laminar boundary layer are discussed in the remaining chapters. The text unifies the various topics by tracing a logical progression from simple to complex governing differential equations and boundary conditions. Numerical, parametric, and directed analysis problems are included at the end of each chapter.
Download or read book Numerical Solution of the Incompressible and Compressible Laminar Boundary Layer Equations with Assigned Constant Wall Shear Stress written by Victor Zakkay and published by . This book was released on 1968 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical solutions of the boundary layer equations with arbitrary initial profiles and an assigned constant wall shear stress were carried out. Results show that after an initial non-similar flow all initial profiles for incompressible flow asymptotically approach similar profiles corresponding exactly to the Falkner-Skan similar solution. The streamwise distance required for any arbitrary initial profile to approach this similar profile depends upon the extent of departure of the initial profile from the beta = 1/2 similar profile (the larger the difference the longer the distance). For compressible boundary layers, constant wall shear stress solutions give rise to asymptotic locally similar profiles, with no particular similar profile having been determined in the present analysis. (Author).
Download or read book Investigation of the Stability of the Laminar Boundary Layer in a Compressible Fluid written by Lester Lees and published by . This book was released on 1946 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Report is presented in two parts: Part 1 deals with the general mathematical theory; Part 2 deals with the limiting case of infinite Reynolds numbers.
Download or read book Solutions of the Second order Boundary layer Equations for Laminar Incompressible Flow written by Michael J Werle and published by . This book was released on 1968 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use is made of self similarity approach and integral momentum technique to obtain solutions of Van Dyke's second-order boundary-layer equations for laminar incompressible flow. Accurate numerical solutions of the most general self similar equations are tabulated for the four second-order contributions due to vorticity interaction, displacement speed, longitudinal curvature, and transverse curvature. A limited number of closed form solutions are obtained which appear to have special significance at the point of first-order boundary-layer separation. In particular it is found that the displacement speed problem can proceed up to separation for only two values of the second-order pressure gradient. All other cases display an infinite discontinuity at this point. Numerical solutions of a large number of cases for the longitudinal and transverse curvature effects well support an identical conclusion. The integral momentum technique applied (a straight forward extension of the Karmen-Pohlhausen solutions) is found to be oversensitive to approximations and in the final analysis is rejected in favor of locally similar solutions. (Author).
Download or read book Numerical Solutions of the Compressible Boundary Layer Equations for Rotating Axisymmetric Flows written by Olof Lennart Anderson and published by . This book was released on 1980 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computation of the Compressible Laminar Boundary Layer Flow Including Displacement Thickness Interaction Using Finite Difference Methods written by Stanford University. Division of Engineering Mechanics and published by . This book was released on 1962 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The equations for the laminar compressible boundary layer are presented along with the necessary boundary conditions. The equations are nondimensionalized, which results in using quantities of the same order of magnitude better suited for computations. The boundary-layer equations are also modified using the Howarth-Dorodnitsyn transformation, which results in equations advantageous for numerical computation when the flow is hypersonic. Since the boundary conditions require that the enthalpy and velocity be known at the outer edge of the boundary layer, the necessary formulas are presented to calculate the exterior flow, provided the pressure distribution is known. Finally, the characteristic values of the boundary layer (shearing stress, heat transfer, and displacement thickness) are defined.
Download or read book Numerical Solutions of Compressible Semisimilar Boundary Layer Equations Including Separation written by Sung Kyu Kim and published by . This book was released on 1982 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Laminar Boundary Layers in Compressible Fluids written by Keith Stewartson and published by . This book was released on 1964 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Laminar Boundary Layer Equations written by N. Curle and published by Courier Dover Publications. This book was released on 2017-03-17 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to boundary layer problems offers an ordered, logical presentation accessible to undergraduates. The text's careful expositions of the limitations and accuracy of various methods will also benefit professionals. 1962 edition.
Download or read book A Numerical Method for the Solution of the Two dimensional Steady Laminar Boundary Layer Equations written by Michael T. Hill and published by . This book was released on 1974 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computation of the Compressible Laminar Boundary layer Flow Including Displacement Thickness Interaction Using Finite difference Methods written by Frederick Gwynn Blottner and published by . This book was released on 1962 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solutions of the Laminar Compressible Boundary layer Equations with Transpiration which are Applicable to the Stagnation Regions of Axisymmetric Blunt Bodies written by John T. Howe and published by . This book was released on 1959 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method Pt 2 Further Discussion of the Method and Computation of Examples written by Stanford University. Division of Engineering Mechanics and published by . This book was released on 1957 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method Part 1 Description of the Method written by Stanford University. Division of Engineering Mechanics and published by . This book was released on 1956 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Development of a Finite difference Method for Computing a Compressible Laminar Boundary Layer with Interaction written by Er-Yung Yu and published by . This book was released on 1960 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
