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Restricted variational principle method for the free-molecular mixing of parallel streams

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Abstract

Rosen's restricted variational principle representation of the Boltzmann equation is used to determine the free-molecular mixing of two initially parallel streams of differing temperature and speed ratio. Mixing is accomplished by means of thermal and convective motions of the gas particles. It is shown that the variational method leads to a rapid calculation scheme for number density and velocity; the results of the method compare closely to the exact special function solutions of the collisionless Boltzmann equation.

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Author notes

  1. C. R. Ortloff (Member of the Technical Staff)

    Present address: General Research Corporation, Santa Barbara, California

Authors and Affiliations

  1. Aerospace Corporation, Los Angeles, California

    C. R. Ortloff (Member of the Technical Staff)

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  1. C. R. Ortloff
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Communicated by A. Miele

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Ortloff, C.R. Restricted variational principle method for the free-molecular mixing of parallel streams. J Optim Theory Appl 2, 187–198 (1968). https://doi.org/10.1007/BF00927000

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  • DOI: https://doi.org/10.1007/BF00927000

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