Integral Method of Solution for Compressible Laminar Boundary Layers and Applications
Title | Integral Method of Solution for Compressible Laminar Boundary Layers and Applications PDF eBook |
Author | William Shiun Liu |
Publisher | Institute for Aerospace Studies, University of Toronto |
Pages | 21 |
Release | 1975 |
Genre | Boundary layer |
ISBN |
The basic equations based on the integral method for solving compressible, laminar, boundary-layer flows are considered in some detail. The moment of momentum equation is added to the usual boundary-layer equations in order to form a complete set of equations. The governing equations for shock-wave or expansion-wave interactions with the boundary-layer are reformulated. The cold-wall similarity model of the interaction of a compressible, laminar, boundary-layer flow with a corner-expansion wave is investigated using certain approximations and initial conditions. The results compare well with other analytical models and with existing experimental data. (Author).
Integral Methods in Compressible Laminar Boundary Layers and Their Application to Hypersonic Pressure Interactions
Title | Integral Methods in Compressible Laminar Boundary Layers and Their Application to Hypersonic Pressure Interactions PDF eBook |
Author | Yat-Yung Chan |
Publisher | |
Pages | 108 |
Release | 1965 |
Genre | Boundary layer |
ISBN |
The Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method
Title | The Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method PDF eBook |
Author | Donald Charles Baxter |
Publisher | |
Pages | 620 |
Release | 1957 |
Genre | Boundary layer |
ISBN |
An Approximate Solution for Compressible Axisymmetric Laminar Boundary Layers Including the Effects of Transverse Curvature
Title | An Approximate Solution for Compressible Axisymmetric Laminar Boundary Layers Including the Effects of Transverse Curvature PDF eBook |
Author | Jay M. Solomon |
Publisher | |
Pages | 130 |
Release | 1967 |
Genre | Laminar boundary layer |
ISBN |
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).
A Moment Method for Compressible Laminar Boundary Layers and Some Applications
Title | A Moment Method for Compressible Laminar Boundary Layers and Some Applications PDF eBook |
Author | Paul Andrews Libby |
Publisher | |
Pages | 35 |
Release | 1964 |
Genre | Boundary layer |
ISBN |
An integral method based on moment techniques and especially useful for compressible laminar flows is presented. The describing partial differential equations are first transformed to the Levy-Lees variables and then converted to integral conditions with eta to the mth power as a weighing factor. A technique for handling the variation in transport properties which explicitly arises for m>0 is described. The resultant equations are applied for m=0,1 with the commonly employed fourth and fifth degree polynomial profiles for velocity and stagnation enthalpy. The distinct classification of similar and nonsimilar flows within the same analytic framework is emphasized. The analysis is applied to a variety of flows for which more accurate results are available and is found to yield satisfactory results in most cases. Therefore, the present method is considered to improve somewhat the conventional integral method (m=0) without excessive labor. (Author).
Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method, Pt.2: Further Discussion of the Method and Computation of Examples
Title | Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method, Pt.2: Further Discussion of the Method and Computation of Examples PDF eBook |
Author | Stanford University. Division of Engineering Mechanics |
Publisher | |
Pages | 284 |
Release | 1957 |
Genre | |
ISBN |
Integral Methods in the Theory of the Boundary Layer
Title | Integral Methods in the Theory of the Boundary Layer PDF eBook |
Author | Lev Gerasimovich Loĭt͡si͡anskiĭ |
Publisher | |
Pages | 64 |
Release | 1944 |
Genre | Boundary layer |
ISBN |
The application of the well-known basic principle of mechanics, the principle of Jourdain, to problems of the theory of the boundary layer leads to an equation from which the equations of Von Karman, Leibenson, and Golubev are derived as special cases. The given equation may be employed in other integral methods. The present paper deals with the method of the variation of the thickness of the boundary layer. A number of new approximate formulas valuable in aerodynamic calculations for the fristion distribution are derived from this procedure. The method has been applied only to laminar boundary layers, but it seems probable that it may be generalized to include turbulent layers as well.