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On The Wall Normal Velocity Of The Compressible Boundary Layer Equations
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722458843 Total Pages :46 pages Book Rating :4.4/5 (588 download)
Book Synopsis On the Wall-Normal Velocity of the Compressible Boundary-Layer Equations by : National Aeronautics and Space Administration (NASA)
Download or read book On the Wall-Normal Velocity of the Compressible Boundary-Layer Equations written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-09 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods for the compressible boundary-layer equations are facilitated by transformation from the physical (x, y) plane to a computational (xi, eta) plane in which the evolution of the flow is 'slow' in the time-like xi direction. The commonly used Levy-Lees transformation results in a computationally well-behaved problem for a wide class of non-similar boundary-layer flows, but it complicates interpretation of the solution in physical space. Specifically, the transformation is inherently nonlinear, and the physical wall-normal velocity is transformed out of the problem and is not readily recovered. In light of recent research which shows mean-flow non-parallelism to significantly influence the stability of high-speed compressible flows, the contribution of the wall-normal velocity in the analysis of stability should not be routinely neglected. Conventional methods extract the wall-normal velocity in physical space from the continuity equation, using finite-difference techniques and interpolation procedures. The present spectrally-accurate method extracts the wall-normal velocity directly from the transformation itself, without interpolation, leaving the continuity equation free as a check on the quality of the solution. The present method for recovering wall-normal velocity, when used in conjunction with a highly-accurate spectral collocation method for solving the compressible boundary-layer equations, results in a discrete solution which is extraordinarily smooth and accurate, and which satisfies the continuity equation nearly to machine precision. These qualities make the method well suited to the computation of the non-parallel mean flows needed by spatial direct numerical simulations (DNS) and parabolized stability equation (PSE) approaches to the analysis of stability. Pruett, C. David Unspecified Center NAS1-18599; RTOP 505-59-53-02.
Book Synopsis On the Wall-normal Velocity of the Compressible Boundary-layer Equations by : Charles David Pruett
Download or read book On the Wall-normal Velocity of the Compressible Boundary-layer Equations written by Charles David Pruett and published by . This book was released on 1991 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Wall-normal Velocity of the Compressible Boundary-layer Equations by : C. David Pruett
Download or read book On the Wall-normal Velocity of the Compressible Boundary-layer Equations written by C. David Pruett and published by . This book was released on 1991 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Wall-normal Velocity of the Compressible Boundary-layer Equations by : Charles David Pruett
Download or read book On the Wall-normal Velocity of the Compressible Boundary-layer Equations written by Charles David Pruett and published by . This book was released on 1991 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Method for Predicting Compressible Turbulent Boundary Layers in Adverse Pressure Gradients by : Shimer Zane Pinckney
Download or read book Method for Predicting Compressible Turbulent Boundary Layers in Adverse Pressure Gradients written by Shimer Zane Pinckney and published by . This book was released on 1971 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of the Equations for Compressible Laminar, Transitional, and Turbulent Boundary Layers and Comparisons with Experimental Data by : Julius E. Harris
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.
Book Synopsis Boundary-Layer Theory by : Hermann Schlichting (Deceased)
Download or read book Boundary-Layer Theory written by Hermann Schlichting (Deceased) and published by Springer. This book was released on 2016-10-04 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.
Book Synopsis Stability of Three-dimensional Compressible Boundary Layers by : Eli Reshotko
Download or read book Stability of Three-dimensional Compressible Boundary Layers written by Eli Reshotko and published by . This book was released on 1962 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Similar Solutions for the Compressible Boundary Layer on a Yawed Cylinder with Transpiration Cooling by : Ivan E. Beckwith
Download or read book Similar Solutions for the Compressible Boundary Layer on a Yawed Cylinder with Transpiration Cooling written by Ivan E. Beckwith and published by . This book was released on 1959 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heat-transfer and skin-friction parameters obtained from exact solutions to the laminar compressible boundary-layer equations for infinite cylinders in yaw are presented. The effects of transpiration cooling, Prandtl number, pressure gradient, wall temperature, and viscosity relation were investigated. It is shown that as the Mach number is increased for a given large yaw angle the effects of pressure gradient become larger and the quantity of coolant required to maintain a given wall temperature is also increased. The use of a linear viscosity-temperature relation gives approximately the same results as the Sutherland viscosity-temperature relation except for very high aerodynamic heating rates.
Book Synopsis The Laminar Boundary Layer Equations by : N. Curle
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.
Book Synopsis The Theory of Laminar Boundary Layers in Compressible Fluids by : Keith Stewartson
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:
Book Synopsis Numerical Solutions of the Compressible Boundary Layer Equations for Rotating Axisymmetric Flows by : Olof Lennart Anderson
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:
Book Synopsis The Turbulent Boundary Layer in a Compressible Fluid by : Donald E. Coles
Download or read book The Turbulent Boundary Layer in a Compressible Fluid written by Donald E. Coles and published by . This book was released on 1961 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first object of the paper is to develop a transformation which reduces the boundary-layer equations for compressible two-dimensional mean turbulent motion to incompressible form. The second object is to apply this transformation to the special case of the adiabatic turbulent boundary layer on a smooth wall. The transformation represents at every stage a genuine kinematic and dynamic correspondence between two real flows, both of which are capable of being observed experimentally. Since the mean pressure and mean velocity can then be measured in either flow, the mean acceleration of the fluid can in principle be determined, and the shearing stress can be adequately and accurately defined as the stress which is necessary to account for this acceleration. This formulation leads to a general transformation valid for laminar or turbulent flow in wakes and boundary layers, without regard to the state or energy equations or the viscosity law for the compressible fluid, and without regard to the boundary conditions on surface pressure or temperature in the event that a surface is involved. (Author).
Book Synopsis Compressible Boundary Layer Flow Past a Swept Wavy Wall with Heat Transfer and Ablation by : George Roe Inger
Download or read book Compressible Boundary Layer Flow Past a Swept Wavy Wall with Heat Transfer and Ablation written by George Roe Inger and published by . This book was released on 1970 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Near-wall Four-equation Turbulence Model for Compressible Boundary Layers by : T. P. Sommer
Download or read book A Near-wall Four-equation Turbulence Model for Compressible Boundary Layers written by T. P. Sommer and published by . This book was released on 1992 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Similar Solutions for the Compressible Boundary Layer on a Yawed Cylinder with Transpiration Cooling by : Ivan E. Beckwith
Download or read book Similar Solutions for the Compressible Boundary Layer on a Yawed Cylinder with Transpiration Cooling written by Ivan E. Beckwith and published by . This book was released on 1959 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Upper-branch Stability of Compressible Boundary Layer Flows by : J. S. B. Gajjar
Download or read book The Upper-branch Stability of Compressible Boundary Layer Flows written by J. S. B. Gajjar and published by . This book was released on 1989 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
