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Book A New Transformation and Integration Scheme for the Compressible Boundary Layer Equations  and Solution Behavior at Separation

Download or read book A New Transformation and Integration Scheme for the Compressible Boundary Layer Equations and Solution Behavior at Separation written by Mark Drela and published by . This book was released on 1983 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new coordinate and variable transformation for the two-dimensional boundary layer equations is presented. The normal coordinate is stretched with a scaling length determined by the local solution. The boundary layer thickness is then essentially constant in computational space for the most types of flows, including separation bubbles and rapidly growing turbulent boundary layers. Similarity solutions can be obtained for all wedge flows. Two finite difference schemes are presented: the Shifted Box Scheme and the Double-Shifted Box Scheme. Both schemes are more resistant to streamwise profile oscillations than the standard Keller's Box Scheme. All governing equations, including the turbulence model, are solved simultaneously as a fully coupled system. This is faster and more robust than conventional weak-coupling iteration schemes. The solution scheme implementation presented makes no restriction on one boundary condition. Any point or integral quantity such as edge velocity, wall shear, displacement thickness, or some functional relationship between two or more of such quantities can be prescribed. The behavior of the boundary layer solution near separation is investigated. It is demonstrated that non-unique solutions always exist whenever an adverse pressure gradient is specified. This bifurcation of the solution is responsible for inability of calculations with prescribed pressure or edge velocity to be carried past separation.

Book Numerical Solution of the Incompressible and Compressible Laminar Boundary Layer Equations with Assigned Constant Wall Shear Stress

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).

Book The Numerical Integration of the Laminar Compressible Boundary Layer Equations  with Special Reference to the Position of Separation when the Wall is Cooled

Download or read book The Numerical Integration of the Laminar Compressible Boundary Layer Equations with Special Reference to the Position of Separation when the Wall is Cooled written by G. E. Gadd and published by . This book was released on 1952 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Solutions of the Laminar Compressible Boundary layer Equations with Transpiration which are Applicable to the Stagnation Regions of Axisymmetric Blunt Bodies

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 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Numerical Integration of the Laminar Compressible Boundary Layer Equations  with Special Reference to the Position of Separation when the Wall is Cooled

Download or read book The Numerical Integration of the Laminar Compressible Boundary Layer Equations with Special Reference to the Position of Separation when the Wall is Cooled written by Aeronautical Research Council and published by . This book was released on 1957 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Numerical Integration of the Laminar Compressible Boundary Layer Equations  with Special Reference to the Position of Separation when the Wall is Cooled

Download or read book The Numerical Integration of the Laminar Compressible Boundary Layer Equations with Special Reference to the Position of Separation when the Wall is Cooled written by Aeronautical Research Council and published by . This book was released on 1957 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solution of the Compressible Boundary Layer Equations Over Axisymmetric Surfaces

Download or read book Numerical Solution of the Compressible Boundary Layer Equations Over Axisymmetric Surfaces written by Charles R. Blake and published by . This book was released on 1976 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical solution of the compressible boundary layer equations was developed for flows over either two-dimensional or axisymmetric surfaces. The solution method is capable of solving for boundary layer parameters in either laminar or turbulent flows. In the case of turbulent flow, closure is achieved by use of a two-layered eddy viscosity model. The boundary layer equations are solved by a numerical marching procedure. A Mangler-Levy-Lees transformation of independent variables is used to improve the efficiency of the numerical solution. The transformed boundary layer equations are then linearized by a three point finite difference scheme. The linearized equations are solved by a matrix solution technique. Comparisons of computed boundary layer parameters with experimentally determined parameters were made for both laminar and turbulent flows over axisymmetric bodies. The comparisons show the numerical solution to be very accurate. (Author).

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1985 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solutions of the Compressible Navier Stokes Equations for Turbulent Boundary Layer Flows and Investigations on Shock induced Oscillations

Download or read book Numerical Solutions of the Compressible Navier Stokes Equations for Turbulent Boundary Layer Flows and Investigations on Shock induced Oscillations written by Lie Y. Oey and published by . This book was released on 1977 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solution of the Compressible Laminar  Transitional  and Turbulent Boundary Layer Equations with Comparisons to Experimental Data

Download or read book Numerical Solution of the Compressible Laminar Transitional and Turbulent Boundary Layer Equations with Comparisons to Experimental Data written by Julius Elmore Harris and published by . This book was released on 1970 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Super  and Hypersonic Aerodynamics and Heat Transfer

Download or read book Super and Hypersonic Aerodynamics and Heat Transfer written by G. K. Mikhailov and published by CRC Press. This book was released on 1992-11-10 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent government and commercial efforts to develop orbital and suborbital passenger and transport aircraft have resulted in a burgeoning of new research. The articles in this book, translated from Russian, were contributed by the world's leading authorities on supersonic and hypersonic flows and heat transfer. This superb book addresses the physics and engineering aspects of ultra high-speed aerodynamic problems. Thorough coverage is given to an array of specific problem-solving equations. Super- and Hypersonic Aerodynamics and Heat Transfer will be essential reading for all aeronautical engineers, mechanical engineers, mathematicians, and physicists involved in this exciting field of research.

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solution of Equations for Compressible Laminar  Transitional  and Turbulent Boundary Layer and Comparisons with Experimental Data  with of References

Download or read book Numerical Solution of Equations for Compressible Laminar Transitional and Turbulent Boundary Layer and Comparisons with Experimental Data with of References written by and published by . This book was released on 1971 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: