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Method For Calculation Of Compressible Laminar Boundary Layer With Axial Pressure Gradient And Heat Transfer
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Book Synopsis Method for Calculation of Compressible Laminar Boundary Layer with Axial Pressure Gradient and Heat Transfer by : Paul A. Libby
Download or read book Method for Calculation of Compressible Laminar Boundary Layer with Axial Pressure Gradient and Heat Transfer written by Paul A. Libby and published by . This book was released on 1954 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rapid and sufficiently accurate method, for most practical purposes, of determining laminar-boundary-layer characteristics in flow with a given free-stream Mach number and given velocity distribution at the edge of the boundary layer is presented. The method can be easily applied to flow with zero pressure gradient for any (constant) Prandtl number of the number unity and any given temperature distribution along the wall. Numerical examples are given to illustrate the method and the satisfactory accuracy obtained. For flow in an axial pressure gradient, the method can be applied for a Prandtl number of unity and any given uniform wall temperature. The methods developed here are based on an application of the Karman integral method to both the momentum and energy equations, in conjunction with a sixth-degree velocity profile and a seventh-degree stagnation-enthalpy profile. A single boundary-layer thickness and one of the coefficients in the thermal profile are the parameters in this two-parameter method.
Book Synopsis Method for Calculation of Compressible Laminar Boundary-layer Characteristics in Axial Pressure Gradient with Zero Heat Transfer by : Morris Morduchow
Download or read book Method for Calculation of Compressible Laminar Boundary-layer Characteristics in Axial Pressure Gradient with Zero Heat Transfer written by Morris Morduchow and published by . This book was released on 1952 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Karman-Pohlhausen method is extended primarily to sixth-degree velocity profiles for determining the characteristics of the compressible laminar boundary layer over an adiabatic wall in the presence of an axial pressure gradient. It is assumed that the Prandtl number is unity and that the coefficient of viscosity varies linearly with the temperature. A general approximate solution which permits a rapid determination of the boundary layer characteristics for any given free-stream Mach number and given velocity distribution at the outer edge of the boundary layer is obtained. Numerical examples indicated that this solution will practice lead to results of satisfactory accuracy, including the critical Reynolds number for stability. For the special purpose of calculating the location of the separation point in an adverse pressure gradient, a short and simple method, based on the use of a seventh-degree velocity profile, is derived. The numerical example given here indicates that this method should in practice lead to sufficiently accurate results. For the special case of flow near a forward stagnation point it is shown that the Karman-Pohlhausen method with the usual fourth-degree profiles leads to results of adequate accuracy, even for the critical Reynolds number.
Book Synopsis The Compressible Laminar Boundary Layer with Heat Transfer and Arbitrary Pressure Gradient by : Clarence B. Cohen
Download or read book The Compressible Laminar Boundary Layer with Heat Transfer and Arbitrary Pressure Gradient written by Clarence B. Cohen and published by . This book was released on 1955 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: WIth the resulting relations, methods are derived for the calculation of the tw-dimensional and axially symmetric laminar boundary layer with an arbitrary free-stream velocity distribution, Mach number, and surface temperature.
Book Synopsis The Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method by : Donald Charles Baxter
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:
Book Synopsis Method for Calculation of Compressible Laminar Boundary Layer with Pressure Gradient and Heat Transfer by : Paul A. Libby
Download or read book Method for Calculation of Compressible Laminar Boundary Layer with Pressure Gradient and Heat Transfer written by Paul A. Libby and published by . This book was released on 1954 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Calculation of Compressible Turbulent Boundary Layers with Pressure Gradients and Heat Transfer by : Larry L. Lynes
Download or read book Calculation of Compressible Turbulent Boundary Layers with Pressure Gradients and Heat Transfer written by Larry L. Lynes and published by . This book was released on 1969 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method, Pt.2: Further Discussion of the Method and Computation of Examples by : Stanford University. Division of Engineering Mechanics
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:
Book Synopsis Simplified Method for Calculation of Compressible Laminar Boundary Layer with Arbitrary Free-stream Pressure Gradient by : George M. Low
Download or read book Simplified Method for Calculation of Compressible Laminar Boundary Layer with Arbitrary Free-stream Pressure Gradient written by George M. Low and published by . This book was released on 1951 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Karman-Polhausen method, as applied to compressible laminar boundary layers, is simplified by an analysis similar to the incompressible Holstein-Bohlen method. The analysis is carried out under the assumptions of a Prandtl number of 1, zero heat transfer, and a linear viscosity-temperature relation. Results are presented so that velocity and temperature profiles, momentum and displacement thicknesses, and wall shear stress can be calculated for flows over two-dimensional bodies with arbitrary free-stream velocity distributions. The results are also applicable to flows over three-dimensional bodies with axial symmetry through the use of Mangler's transformation.
Book Synopsis The Effect of Pressure Gradient on the Average Convective Heat Transfer Coefficient for a Two-dimensional Laminar Compressible Boundary Layer on a Flat Plate by : Charles Pinto Howard
Download or read book The Effect of Pressure Gradient on the Average Convective Heat Transfer Coefficient for a Two-dimensional Laminar Compressible Boundary Layer on a Flat Plate written by Charles Pinto Howard and published by . This book was released on 1959 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculation of Compressible, Nonadiabatic Boundary Layers in Laminar, Transitional and Turbulent Flow by the Method of Integral Relations by : Gary D. Kuhn
Download or read book Calculation of Compressible, Nonadiabatic Boundary Layers in Laminar, Transitional and Turbulent Flow by the Method of Integral Relations written by Gary D. Kuhn and published by . This book was released on 1971 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculation of Turbulent Boundary Layers with Heat Transfer and Pressure Gradient Utilizing a Compressibility Transformation. Part 2: Constant Property Turbulent Boundary Layer Flow with Simultaneous Mass Transfer and Pressure Gradient by :
Download or read book Calculation of Turbulent Boundary Layers with Heat Transfer and Pressure Gradient Utilizing a Compressibility Transformation. Part 2: Constant Property Turbulent Boundary Layer Flow with Simultaneous Mass Transfer and Pressure Gradient written by and published by . This book was released on 1972 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral Methods in Compressible Laminar Boundary Layers and Their Application to Hypersonic Pressure Interactions by : Yat-Yung Chan
Download or read book Integral Methods in Compressible Laminar Boundary Layers and Their Application to Hypersonic Pressure Interactions written by Yat-Yung Chan and published by . This book was released on 1965 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Heat Transfer to Boundary Layers with Pressure Gradients by : Ralph Alois Seban
Download or read book Heat Transfer to Boundary Layers with Pressure Gradients written by Ralph Alois Seban and published by . This book was released on 1958 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculation of Turbulent Boundary Layers with Heat Transfer and Pressure Gradient Utilizing a Compressibility Transformation by : J. Schneider
Download or read book Calculation of Turbulent Boundary Layers with Heat Transfer and Pressure Gradient Utilizing a Compressibility Transformation written by J. Schneider and published by . This book was released on 1972 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computer program is described capable of determining the properties of a compressible turbulent boundary layer with pressure gradient and heat transfer. The program treats the two-dimensional problem assuming perfect gas and Crocco integral energy solution. A compressibility transformation is applied to the equation for the conservation of mass and momentum, which relates this flow to a low speed constant property flow with simultaneous mass transfer and pressure gradient. The resulting system of describing equations consists of eight ordinary differential equations which are solved numerically. For Part 1, see N72-12226; for Part 2, see N72-15264.
Book Synopsis Similar Solutions for the Compressible Laminar Boundary Layer with Heat Transfer and Pressure Gradient by : Clarence B. Cohen
Download or read book Similar Solutions for the Compressible Laminar Boundary Layer with Heat Transfer and Pressure Gradient written by Clarence B. Cohen and published by . This book was released on 1955 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stewartson's transformation is applied to the laminar compressible boundary-layer equations and the requirement of similarity is introduced, resulting in a set of ordinary nonlinear differential equations previously quoted by Stewartson, but unsolved. The requirements of the system are Prandtl number of 1.0, linear viscosity-temperature relation across the boundary layer, an isothermal surface, and the particular distributions of free-stream velocity consistent with similar solutions. This system admits axial pressure gradients of arbitrary magnitude, heat flux normal to the surface, and arbitrary Mach numbers. The system of differential equations is transformed to integral system, with the velocity ratio as the independent variable. For this system, solutions are found by digital computation for pressure gradients varying from that causing separation to the infinitely favorable gradient and for wall temperatures from absolute zero to twice the free-stream stagnation temperature. Some solutions for separated flows are also presented.
Book Synopsis On the Compressible Laminar Boundary Layer with Suction by : Morris Morduchow
Download or read book On the Compressible Laminar Boundary Layer with Suction written by Morris Morduchow and published by . This book was released on 1963 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: The compressible laminar boundary layer in a pressure gradient with suction, for a Prandtl number of unity and a linear viscosity-temperature relation, is analyzed on the basis of the momentum and thermal integral equations in conjunction with sixth and (for separation) seventh degree velocity, and seventh degree stagnation enthalpy profiles. For flows over a flat plate, and for flows in a pressure gradient, straightforward and simple methods of calculating the boundary layer for a given Mach number, a given uniform wall temperature, and a given suction distribution are shown. Wherever exact or purportedly accurate solutions for an impermeable or a permeable wall are available, the results obtained by the present analysis agree very well with such solutions, including the general asymptotic suction solutions for compressible flows with a pressure gradient and heat transfer. Finally, the boundary layer with a linearly diminishing external velocity is calculated. (Author).
