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Simple waves on a shear gas flow in a channel of constant cross section

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The plane-parallel unsteady-state shear gas flow in a narrow channel of constant cross section is considered. The existence theorem of solutions in the form of simple waves of a set of equations of motion is proved for a class of isentropic flows with a monotone velocity profile over the channel depth. The exact solution described by incomplete beta-functions is found for a polytropic equation of state in a class of isentropic flows.

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References

  1. V. M. Teshukov, “Longwave-approximation model for a shear gas flow in a channel of variable cross section,”Prikl Mekh. Tekh. Fiz.,39, No. 1, 15–27 (1998).

    MATH  MathSciNet  Google Scholar 

  2. V. M. Teshukov, “Hyperbolicity of long-wave equations,”Dokl. Akad. Nauk SSSR,284, No. 3, 555–559 (1985).

    MATH  MathSciNet  Google Scholar 

  3. V. M. Teshukov, “Long waves in an eddying barotropic fluid,”Prikl. Mekh. Tekh. Fiz.,35, No. 6, 17–26 (1994).

    MATH  MathSciNet  Google Scholar 

  4. N. C. Freeman, “Simple waves on shear flows: Similarity solutions,”J. Fluid Mech.,56, No. 2, 257–263 (1972).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. P. A. Blythe, Y. Kazakia, and E. Varley, “The interaction of large amplitude shallow-water waves with ambient flow,”ibid.,, pp. 241–256.

    Article  MATH  ADS  Google Scholar 

  6. V. M. Teshukov, “Simple waves on a shear free-boundary flow of an ideal incompressible fluid,” Prikl. Mekh. Tekh. Fiz.,38, No. 2, 48–57 (1997).

    MATH  MathSciNet  Google Scholar 

  7. B. N. Elemesova, “Simple waves in a barotropic vortex fluid layer,”Prikl Mekh. Tekh. Fiz.,38, No. 5, 56–64 (1997).

    MATH  MathSciNet  Google Scholar 

  8. Yu. L. Daletskii and M. G. Krein,Stability of Solutions of Differential Equations in Banach Space, [in Russian], Nauka, Moscow (1970).

    MATH  Google Scholar 

  9. B. L. Rozhdestvenskii and N. N. Yanenko,Systems of Quasi-Linear Equations and Their Applications in Gas Dynamics, [in Russian], Nauka, Moscow (1978).

    Google Scholar 

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Authors
  1. B. N. Elemesova
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Additional information

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 1, pp. 36–43, January–February, 1999.

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Elemesova, B.N. Simple waves on a shear gas flow in a channel of constant cross section. J Appl Mech Tech Phys 40, 28–35 (1999). https://doi.org/10.1007/BF02467969

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  • DOI: https://doi.org/10.1007/BF02467969

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