On an exact solution, including the critical point of the hodograph equations for the two-dimensional flow of a compressible fluid

On an exact solution, including the critical point of the hodograph equations for the two-dimensional flow of a compressible fluid PDF Author: Robert Legendre
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Category :
Languages : fr
Pages :

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On the Flow of a Compressible Fluid by the Hodograph Method

On the Flow of a Compressible Fluid by the Hodograph Method PDF Author: I. E. Garrick
Publisher:
ISBN:
Category : Aerodynamics, Supersonic
Languages : en
Pages : 68

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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.

Some Exact Solutions of Two-dimensional Flows of Compressible Fluid with Hodograph Method

Some Exact Solutions of Two-dimensional Flows of Compressible Fluid with Hodograph Method PDF Author: Jieqian Zhang
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Category : Gas flow
Languages : en
Pages : 63

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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.

TID.

TID. PDF Author:
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Category : Energy development
Languages : en
Pages : 184

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Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
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Category : Mechanics, Applied
Languages : en
Pages : 542

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Heat Transfer

Heat Transfer PDF Author: James M. Jacobs
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Category : Heat
Languages : en
Pages : 180

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On the Flow of a Compressible Fluid by the Hodograph Method

On the Flow of a Compressible Fluid by the Hodograph Method PDF Author: I. E. Garrick
Publisher:
ISBN:
Category : Aerodynamics, Supersonic
Languages : en
Pages : 68

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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.

Some Exact Solutions of the Equations of Two-dimensional Flow of a Compressible Fluid

Some Exact Solutions of the Equations of Two-dimensional Flow of a Compressible Fluid PDF Author: H. J. Davies
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Category :
Languages : en
Pages :

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Some Mathematical Aspects of Compressible Flow

Some Mathematical Aspects of Compressible Flow PDF Author: Richard Henry Dalitz
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Category : Fluid dynamics
Languages : en
Pages : 44

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Fluid Dynamics I / Strömungsmechanik I

Fluid Dynamics I / Strömungsmechanik I PDF Author: C.A. Truesdell
Publisher: Springer Science & Business Media
ISBN: 3642459145
Category : Science
Languages : en
Pages : 477

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343 Whilst this may be so it is also true that this in itself is not sufficient to deter mine it completely. In fact the extent of the dead air region and the behaviour of the shear layer are also of prime importance and in short a unified treatment comprising external flow, boundary layer, shear layer and dead air region becomes necessary to complete the investigation. This would take us outside the scope of the present article and for the substantial progress that has been made towards such a treatment the reader is referred to a paper by HOLDER and GADD 1 and its comprehensive list of references. v. Heat transfer in incompressible boundary layers. 25. Introduction. The term fluid includes gases and liquids. Both gases and liquids are to some extent compressible but in many problems of fluid flow the density changes occurring are small. When they are small enough to be negligible we can regard the flow as incompressible. In Chap. IV we have established the equations for compressible flow of gases and these can of course be used to deter mine when density changes in a gas flow are in fact negligible. Broadly speaking this will be so when the temperature changes as determined by the energy equation are small enough.