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2 edition of On concave bodies in free molecule flow found in the catalog.

On concave bodies in free molecule flow

R. Schamberg

On concave bodies in free molecule flow

  • 112 Want to read
  • 40 Currently reading

Published by Rand Corp.] in [Santa Monica, Calif .
Written in English

    Subjects:
  • Gas dynamics.

  • Edition Notes

    StatementR. Schamberg.
    SeriesPaper / Rand -- P-3164, P (Rand Corporation) -- P-3164.
    The Physical Object
    Pagination30 p. :
    Number of Pages30
    ID Numbers
    Open LibraryOL18833523M

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On concave bodies in free molecule flow by R. Schamberg Download PDF EPUB FB2

Free molecule flow over concave bodies has possible use in parachute-like drogue devices, high-altitude air collectors, propulsion induction systems, and pressure probes.

This report is part of the RAND Corporation paper series. On Concave Bodies in Free Molecule Flow Author: Richard Schamberg Subject: A summary of earlier work by Chahine, Pratt, Sparrow, and others on free molecule flow over nonconvex surfaces, and the presentation of their numerical results in an alternative form.

Created Date: 12/7/ AM. Force and Heat Transfer on Delta Wing from Continuum to Free Molecular Flow Rarefied Gas Dynamics: Space Science and Engineering August Moments On concave bodies in free molecule flow book Forces on General Convex Bodies in Hypersonic FlowCited by: 4.

A Comparison of the Effect of Nonrandom Surface Scattering on Free-Molecule and Slip Flow through Capillaries Rarefied Gas Dynamics, Parts I and II August Volume 6, Number 4 April Cited by: 5. Abstract.

The problem of free molecule flow over non-convex surfaces is investigated for a gas at extreme high rarefaction, and the fundamental integral equations for the particular case of an infinitely long cylindrical surface with a longitudinal slit arc by: The calculation of the aerodynamic forces on concave bodies exposed to a free molecular flow is complicated due to shielding effects of one surface by another and due to the multiple molecular collisions between these surfaces.

In this paper the flow into concave corners Cited by: 2. It is designed as an introduction to free molecule flow theory for those with no background in rarefied gas dynamics or kinetic theory, and it presents an.

Introduction IN FREE molecular flow the molecules collide with a convex body only once, therefore the calculation of the local aerodynamic forces is straightforward (Schaaf and Chambre, ).

On bodies with concave surface elements, where from one point on the surface other points can be seen, the molecules leaving a surface element can hit other parts of the body before they vanish into the flow by: 2.

Not fully established flow around bodies under the conditions of the law of localness Fluid Dynamics, Vol. 12, No. 3 Forces on convex bodies in free molecular flowCited by: For flow of a gas in the free-molecule or Knudsen regime through a tube of circular cross-section of radius R and length L, it is possible to show that the amount-of-substance flow through the tube is (Kauzmann, ).

The application of the method to the calculation of the aerodynamic characteristics of nonconvex bodies in free molecular gas flows is discussed. The interaction between a multiple-velocity flow of a collisionless monoatomic gas and the concave surface of a solid thermostat with a specified temperature is investigated analytically for the case.

Excerpt from Drag on a Body in Nearly-Free Molecular Flow A third method, as yet not fully analyzed, has been advanced by Enoch It is applicable to high speed flows for which the distribution functions, which are highly peaked about some average velocity, may be approximated by o - : Marian H Rose.

On Pitot Pressure in an Almost-Free-Molecule Flow - A Physical Theory for Rarefied-Gas Flows V. LIU Journal of the Aerospace Sciences Cited by:   Traditionally, the aerodynamic perturbations are calculated using a direct simulation Monte Carlo method.

Under certain assumptions, these forces and moments can be described analytically via free-molecular flow theory. Using symbolic manipulation techniques, exact expressions for the free-molecular aerodynamics of analytic shapes can be by: 3.

Basic relations from free molecular theory The lower altitude limit of the free molecular flow region can be estimated by calculating the mean free path Aw of gas particles emitted with speed uw from a surface relative to particles from the undisturbed flow: Aw = Auw/u~, (1) where Ais the mean free path in the undisturbed flow with speed u For Cited by: 6.

IN investigating the streamlining of the free molecule flow of concave bodies and of bodies of complex form (groups of bodies) it is necessary to take into account the possibility of the arrival at the surface element of the body considered of molecules reflected from other surface elements or from other bodies, and of the screening of some parts of the body by by: 1.

Free business-day shipping within the U.S. when you order $ of eligible items sold or fulfilled by Amazon. Or get business-day shipping on this item for $ (Prices may vary for AK and HI.) FREE Shipping on orders over $ Comment: A readable copy.

All pages are intact, and the cover is intact. Dust jacket may be missing/5(). A concave surface is a source of vacancies that works with a counter flow of atoms to fill the concavity. The definition of surface curvature in terms of the radii of the two perpendicular arcs passing through a point on a curved surface.

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Cheers Dan. flag/5. The free-molecule drag of hard convex bodies can be written in dyadic notation in terms of two purely geometrical integrals over the closed body surface, A=∫dA and N=A−1∫nndA, where n.

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The study shows that the mean free path of gas is reduced. Dongari and his co-workers [] studied the gas mean free path in rarefied gas and their results indicate that molecules perform Levy-type flights under rarefied conditions and the free path of gas molecules follows a power-law into account the solid boundary effects their further work [] derived an Cited by: The same phenomenon holds molecules together at the surface of a bulk sample of water, almost as if they formed a skin.

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The Knudsen number (Kn) is a dimensionless number defined as the ratio of the molecular mean free path length to a representative physical length length scale could be, for example, the radius of a body in a fluid. The number is named after Danish physicist Martin Knudsen (–).

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