Download or read book Solution of the General Boundary layer Equations for Compressible Laminar Flow Including Transverse Curvature written by Darwin W. Clutter and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solution of the General Boundary layer Equations for Compressible Laminar Flow Including Transverse Curvature written by Darwin W. Clutter and published by . This book was released on 1963 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solution of the General Boundary layer Equations for Compressible Laminar Flow Including Equilibrium Dissociation written by Darwin W. Clutter and published by . This book was released on 1963 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accurate and rapid method is presented for solution of the complete equations of compressible, steady, laminar-boundary-layer flow. The method allows arbitrary conditions for all of the following: pressure gradient, surface temperature and its gradient, heat transfer, mass transfer, and fluid properties. It can handle flows in which equilibrium dissociation occurs. Also, the second-order effect of transverse curvature is retained. The only restrictions are geometric. The method of solution consists of replacing the partial derivatives with respect to the flow direction by finite differences, while retaining the derivatives in a direction normal to the boundary. Arbitrary fluid properties may be used in the method of solution, if they are inputs in the computer program in the form of formulas or tables. The method has been programmed on an IBM 7094 computer, and solutions for a variety of flows are presented. Comparisons are made with other exact and approximate methods and with experiment. Calculations and comparisons establish that the method is rapid, highly accurate, and powerful. (Author).

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 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 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 A Method for Solving the Nonsimilar Laminar Boundary layer Equations Including Foreign Gas Injection written by Joseph G. Marvin and published by . This book was released on 1969 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving nonsimilar laminar boundary layer equations including foreign gas injection.

Download or read book A Method for Computing Boundary layer Flows Including Normal Pressure Gradient and Longitudinal Curvature Effects written by Arloe W. Mayne (Jr.) and published by . This book was released on 1975 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method written by Donald Charles Baxter and published by . This book was released on 1957 with total page 620 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 2017-03-01 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 The Solution of the Laminar boundary layer Equation for the Flat Plate for Velocity and Temperature Fields for Variable Physical Properties and for the Diffusion Field at High Concentration written by H. Shuh and published by . This book was released on 1950 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: In connection with Pohlhausen's solution for the temperature field on the flat plate, a series of formulas were indicated by means of which the velocity and temperature field for variable physical characteristics can be computed by an integral equation and an iteration method based on it. With it, the following cases were solved: On the assumption that the viscosity simply varies with the temperature while the other fluid properties remain constant, the velocity and temperature field on the heated and cooled plate, respectively, was computed at the Prandtl numbers 12.5 and 100 (viscous fluids). A closer study of these two cases resulted in general relations: The calculations for a gas of Pr number 0.7 (air) were conducted on the assumption that all fluid properties vary with the temperature, and the velocities are low enough for the heat of friction to be discounted. The result was a thickening of the boundary layers, but no appreciable modification in shearing stress or heat-transfer coefficient.

Download or read book NASA Technical Note written by and published by . This book was released on 1973 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solution to the Binary Diffusion Laminar Boundary Layer Equations Including the Effect of Second order Transverse Curvature written by N. A. Jaffe and published by . This book was released on 1966 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report presents a numerical method for solving the binary diffusion laminar boundary-layer equations. The differential equations of continuity, momentum, energy, and species diffusion are solved simultaneously for two-dimensional or axisymmetric flow. For the case of axisymmetric flow the second-order transverse curvature terms appearing in the equations are retained. Relations for mixture fluid properties as functions of local conditions in the boundary layer are developed and used in obtaining solutions to the equations. The mixtures considered in the investigation are He - air, Ar - air, and CO2 - air. Solutions to the equations are given for flow of a pure air free stream over a 9 degree half angle cone at a free stream Mach number of 10 and free stream Reynolds number, based on cone slant length of 940. The initial section of the cone is solid and mass injection is initiated at a location downstream of the tip. Results are presented and compared for calculations both including and neglecting the second-order transverse curvature effect. (Author).

Download or read book An Approximate Solution for Compressible Axisymmetric Laminar Boundary Layers Including the Effects of Transverse Curvature written by Jay M. Solomon and published by . This book was released on 1967 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approximate momentum integral solution for the compressible axisymmetrix laminar boundary layer when transverse curvature effects are important is presented. Both finite and infinite inviscid Mach numbers are considered. Detailed comparisons with exact asymptotic solutions are given. The method is found, in many instances, to agree to leading order with the exact solutions as the transverse curvature becomes very large--a property that none of the existing approximate solutions for compressible flow possess. Some example calculations for a cone in supersonic and hypersonic flow are presented. Also, the method is applied to the hypersonic self-induced pressure problem for a cone. (Author).

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:

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 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: