The structure of strong shock waves using the Fokker-Planck model (Shock wave structure in monatomic gases, using Fokker-Planck model for particle collisions and Mott-Smith distribution for shock front)

Viswanathan, KS and Dwarakanath, GS and Shanbhag, VV (1971) The structure of strong shock waves using the Fokker-Planck model (Shock wave structure in monatomic gases, using Fokker-Planck model for particle collisions and Mott-Smith distribution for shock front). Indian Academy of Sciences, Proceedings, 74 (Sec.A). pp. 115-132.

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    Abstract

    The structure of strong shock waves in monatomic gases is studied using the Fokker-Planck model to represent the particle collisions and the Mott-Smith distribution to describe the distribution function within the shock front. The differential equation governing the variation of the density within the shock is derived by using the13; variational principle. The thickness of the shock front is evaluated numerically for various monatomic gases for Mach numbers varying from 2 to 20, and the variation of the shock thickness with viscosity is also studied for different gases. Several parameters of physical interest within the shock, such as density, temperature, and mean velocity of flow are evaluated numerically, and detailed curves showing their variation within the shock are presented for different Mach numbers. It is found that the temperature rises very steeply, reaches a maximum within a distance less than half the thickness of the shock, and then diminishes slowly to attain its asymptotic downstream values. The variation of the mean velocity is slow for weak shocks, but for higher Mach numbers, the mean velocity diminishes steeply and reaches the downstream values within half the thickness of the shock.13;

    Item Type: Journal Article
    Additional Information: Copyright for this article belongs to Indian Academy of Sciences
    Uncontrolled Keywords: Distribution functions;Fokker-planck equation;Monatomic gases;Shock wave profiles;Density distribution;Differential equations;Flow velocity;Mach number;Shock fronts;Temperature effects;Variational principles
    Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
    Division/Department: Other, Structures Division, Structures Division
    Depositing User: Ms. Alphones Mary
    Date Deposited: 17 Mar 2006
    Last Modified: 24 May 2010 09:39
    URI: http://nal-ir.nal.res.in/id/eprint/961

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