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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 Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Solutions of the Second order Boundary layer Equations for Laminar Incompressible Flow

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).

Book On the Wall Normal Velocity of the Compressible Boundary Layer Equations

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 On the Wall normal Velocity of the Compressible Boundary layer Equations

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 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 Generalization of Boundary layer Momentum integral Equations to Three dimensional Flows Including Those of Rotating System

Download or read book Generalization of Boundary layer Momentum integral Equations to Three dimensional Flows Including Those of Rotating System written by Artur Mager and published by . This book was released on 1951 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical evaluation of this solution carried out the data obtained in a curving nonrotating duct shows a fair quantitative agreement with the measured values.

Book Computer Program for Solving Laminar  Transitional  Or Turbulent Compressible Boundary layer Equations for Two dimensional and Axisymmetric Flow

Download or read book Computer Program for Solving Laminar Transitional Or Turbulent Compressible Boundary layer Equations for Two dimensional and Axisymmetric Flow written by Julius E. Harris and published by . This book was released on 1982 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Inverse Solutions for Laminar Boundary layer Flows with Separation and Reattachment

Download or read book Inverse Solutions for Laminar Boundary layer Flows with Separation and Reattachment written by James Edward Carter and published by . This book was released on 1975 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical solutions of the laminar, incompressible boundary-layer equations are presented for flows involving separation and reattachment. Regular solutions are obtained with an inverse approach in which either the displacement thickness or the skin friction is specified; the pressure is deduced from the solution. A vorticity--stream-function formulation of the boundary-layer equations is used to eliminate the unknown pressure. Solutions of the resulting finite-difference equations, in which the flow direction is taken into account, are obtained by several global iteration schemes which are stable and have unconditional diagonal dominance. Results are compared with Klineberg and Steger's separated boundary-layer calculations, and with Briley's solution of the Navier-Stokes equations for a separated region. In addition, an approximate technique is presented in which the streamwise convection of vorticity is set equal to zero in the reversed flow region; such a technique results in a quick forward-marching procedure for separated flows.

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1972 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book General Research  Momentum integral Solutions for the Laminar Boundary Layer on a Finite Disk in a Rotating Flow

Download or read book General Research Momentum integral Solutions for the Laminar Boundary Layer on a Finite Disk in a Rotating Flow written by W. S. King and published by . This book was released on 1963 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: The laminar boundary layer produced by the rotating flow of a viscous incompressible fluid over a finite stationary disk is considered. The boundary-layer equations for flows in which the external tangential velocity varies as some power of the radius and the external radial velocity is zero are solved using several variations of the Karman-Pohlhausen momentum-integral method. The results of numerical integration of the boundarylayer equations are compared to the momentumintegral solutions of Taylor and Cooke and the series solution of Mack. A numerical error in Cooke's original solution is corrected and a new solution presented; the results do not change substantially. If the outer flow is a potential vortex (n = -1), the methods investigated yield widely varying results for radial inflow and the axial velocity distribution in the boundary layer; the simplest integral method employed agrees best with the series solution. For n = -0.75 and -0.5, all methods (except Cooke) yield results in close agreement with each other. The restrictions imposed by the various methods are discussed. It is noted that the tangential momentum equation controls the nature of the radial inflow. For n = -1, the introduction of a third scaling parameter may lead to erroneous results. (Author).

Book Dissertation Abstracts

Download or read book Dissertation Abstracts written by and published by . This book was released on 1968 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Journal of Applied Mechanics

Download or read book Journal of Applied Mechanics written by and published by . This book was released on 1981 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes original research in all branches of mechanics including aerodynamics; aeroelasticity; boundary layers; computational mechanics; constitutive modeling of materials; dynamics; elasticity; flow and fracture; heat transfer; hydraulics; impact; internal flow; mechanical properties of materials; micromechanics; plasticity; stress analysis; structures; thermodynamics; turbulence; vibration; and wave propagation.

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: