Some Exact Solutions of Two-dimensional Flows of Compressible Fluid with Hodograph Method PDF Download
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Author: Jieqian Zhang
Publisher:
ISBN:
Category : Gas flow
Languages : en
Pages : 63
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Book Description
A suggestion is given for classifying the compressible potential flows according to the location and number of singularities in the subsonic region of the hodograph plane, which seems to offer a convenient criterion for systematic investigation of these flows with Chaplygin's original method. The primary object of the paper is to present and analyze a few useful solutions of compressible potential flow with the exact gas law. These solutions include flows about convex corners which are the same type given by Kraft and Dibble. These flows belong to the same class as that of Ringleb, that is, they have a hodograph singularity at the origin. For this reason they are called generalized Ringleb flows. Furthermore, the exact solution of compressible flow through a particular contracting channel is given. This flow is characterized in the hodograph by a source corresponding to incoming velocity and a sink corresponding to throat velocity. The channel flow near the point of inflection of the boundary is given in detail.
Author: Jieqian Zhang
Publisher:
ISBN:
Category : Gas flow
Languages : en
Pages : 63
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Book Description
A suggestion is given for classifying the compressible potential flows according to the location and number of singularities in the subsonic region of the hodograph plane, which seems to offer a convenient criterion for systematic investigation of these flows with Chaplygin's original method. The primary object of the paper is to present and analyze a few useful solutions of compressible potential flow with the exact gas law. These solutions include flows about convex corners which are the same type given by Kraft and Dibble. These flows belong to the same class as that of Ringleb, that is, they have a hodograph singularity at the origin. For this reason they are called generalized Ringleb flows. Furthermore, the exact solution of compressible flow through a particular contracting channel is given. This flow is characterized in the hodograph by a source corresponding to incoming velocity and a sink corresponding to throat velocity. The channel flow near the point of inflection of the boundary is given in detail.
Author: Robert Legendre
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Author: United States. National Advisory Committee for Aeronautics
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1254
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Book Description
Author: H. J. Davies
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Richard Von Mises
Publisher: Courier Corporation
ISBN: 0486439410
Category : Mathematics
Languages : en
Pages : 530
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Book Description
A pioneer in the fields of statistics and probability theory, Richard von Mises (1883–1953) made notable advances in boundary-layer-flow theory and airfoil design. This text on compressible flow, unfinished upon his sudden death, was subsequently completed in accordance with his plans, and von Mises' first three chapters were augmented with a survey of the theory of steady plane flow. Suitable as a text for advanced undergraduate and graduate students — as well as a reference for professionals — Mathematical Theory of Compressible Fluid Flow examines the fundamentals of high-speed flows, with detailed considerations of general theorems, conservation equations, waves, shocks, and nonisentropic flows. In this, the final work of his distinguished career, von Mises summarizes his extensive knowledge of a central branch of fluid mechanics. Characteristically, he pays particular attention to the basics, both conceptual and mathematical. The novel concept of a specifying equation clarifies the role of thermodynamics in the mechanics of compressible fluids. The general theory of characteristics receives a remarkably complete and simple treatment, with detailed applications, and the theory of shocks as asymptotic phenomena appears within the context of rational mechanics.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 512
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Author: I. E. Garrick
Publisher:
ISBN:
Category : Aerodynamics, Supersonic
Languages : en
Pages : 68
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Book Description
Summary: Elementary basic solutions of the equations of motion of a compressible fluid in the hodograph variables are developed and used to provide a basis for comparison, in the form of velocity correction formulas, of corresponding compressible and incompressible flows. The known approximate results of Chaplygin, von Kármán and Tsien, Temple and Yarwood, and Prandtl and Glauert are unified by means of the analysis of the present paper. Two new types of approximations, obtained from basic solutions, are introduced; they possess certain desirable features of the other approximations and appear preferable as a basis for extrapolation into the range of high stream Mach numbers and large disturbances to the main stream. Tables and figures giving velocity and pressure-coefficient correction factors are included in order to facilitate the practical application of the results.
Author: Lipman Bers
Publisher: Courier Dover Publications
ISBN: 048681016X
Category : Science
Languages : en
Pages : 178
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Book Description
Concise treatment by prominent mathematician covers differential equations of potential gas flow, mathematical background of subsonic flow theory, behavior of flow at infinity, flows in channels and with free boundary, more. 1958 edition.
Author: Stefan Bergman
Publisher: Springer
ISBN: 3662399415
Category : Mathematics
Languages : en
Pages : 154
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Book Description
Author: I. E. Garrick
Publisher:
ISBN:
Category : Aerodynamics, Supersonic
Languages : en
Pages : 68
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Book Description
A brief review of general conditions limiting the potential flow of an adiabatic compressible fluid is given and application is made to the particular solutions, yielding conditions for the existence of singular loci in the supersonic range.
