Download or read book Iterative Solutions of the Laminar Boundary layer Equations with Pressure Gradient written by Robert Joseph Bakos and published by . This book was released on 1986 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Iterative Method for the Laminar Boundary Layer with Pressure Gradient and Suction Or Blowing written by Paul S. Granville and published by . This book was released on 1968 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The laminar boundary layer equations with pressure gradient and with suction or blowing are approximately solved analytically by an iteration method. The resulting velocity profile provides criteria for separation and stability as a function of pressure gradient and suction or blowing. This method is simpler and more versatile as well as more accurate than the classical Karman-Pohlhausen method. (Author).

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 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.

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 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:

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.

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 The Solution of Laminar Boundary Layer Equations by the Finite Differnce Method written by Douglas Aircraft Company and published by . This book was released on 1960 with total page 76 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 A Finite Difference Solution of the Laminar Boundary Layer Equations for Flow with a Pressure Gradient written by Donald E. Krider and published by . This book was released on with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Numerical Calculation of Laminar Boundary layer Separation written by John M. Klineberg and published by . This book was released on 1974 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative finite-difference techniques are developed for integrating the boundary-layer equations, without approximation, through a region of reversed flow. The numerical procedures are used to calculate incompressible laminar separated flows and to investigate the conditions for regular behavior at the point of separation. Regular flows are shown to be characterized by an integrable saddle-type singularity that makes it difficult to obtain numerical solutions which pass continuously into the separated region. The singularity is removed and continuous solutions ensured by specifying the wall shear distribution and computing the pressure gradient as part of the solution. Calculated results are presented for several separated flows and the accuracy of the method is verified. A computer program listing and complete solution case are included.

Download or read book Exact Solutions of Laminar boundary layer Equations with Constant Property Values for Porous Wall with Variable Temperature written by Patrick L. Donoughe and published by . This book was released on 1954 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact solutions of the laminar-boundary-layer equations for wedge-type flow with constant property values are presented for transpiration-cooled surfaces with variable wall temperatures. The difference between wall and stream temperature is aussumed proportional to a power of the distance from the leading edge. Solutions are given for a Prandtl number of 0.7 and ranges of pressure-gradient, cooling-air-flow, and wall-temperature-gradient parameters. Boundary-layer profiles, dimensionaless boundary-layer thicknesses, and heat-transfer coefficents are given in both tabular and graphical form. Corresponding results for constant wall temperature and for impermeable surfaces are included for comparison purposes.

Download or read book New Methods in Laminar Boundary layer Theory written by D. Meksyn and published by Pergamon. This book was released on 1961 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Development of a Finite difference Method for Computing a Compressible Laminar Boundary Layer with Interaction written by Er-Yung Yu and published by . This book was released on 1960 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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: