Skip to main content
SpringerLink
Log in

Solution with a linear velocity field for a submodel of one-dimensional gas motions

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A method for finding exact solutions of the equations of gas dynamics with a linear velocity field is proposed. This method was used to find exact solutions for one submodel of the evolutionary type which was fully integrated for the case of a polytropic gas. Examples of particle motion for the obtain exact solutions are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Yu. B. Yulmukhametova, “Submodels of Gas Dynamics with a Linear Velocity Field,” Sib. Elektron. Mat. Izv. 9, 208–226 (2012).

    MathSciNet  MATH  Google Scholar 

  2. E. V. Mamontov, “Invariant Submodels of Rank Two of the Equations of Gas Dynamics,” Prikl. Mekh. Tekh. Fiz. 40 (2), 50–55 (1999) [J. Appl. Mech. Tech. Phys. 40 (2), 232–237 (1999)].

    MathSciNet  MATH  Google Scholar 

  3. E. V. Mamontov, “Group Properties of 2-Submodels for the Evolutionary Class of Gas-Dynamic Equations,” Prikl. Mekh. Tekh. Fiz. 42 (1), 33–39 (2001) [J. Appl. Mech. Tech. Phys. 42 (1), 28–34 (2001)].

    MathSciNet  MATH  Google Scholar 

  4. S. V. Khabirov, Analytical Methods in Gas Dynamics (Gilem, Ufa, 2003) [in Russian].

    Google Scholar 

  5. E. Kamke, Handbook of Ordinary Differential Equations (Chelsea Publ., 1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054, Russia

    Yu. V. Yulmukhametova

Authors
  1. Yu. V. Yulmukhametova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu. V. Yulmukhametova.

Additional information

Original Russian Text © Yu.V. Yulmukhametova.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 1, pp. 3–10, January–February, 2016. Original article submitted September 29, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yulmukhametova, Y.V. Solution with a linear velocity field for a submodel of one-dimensional gas motions. J Appl Mech Tech Phy 57, 1–7 (2016). https://doi.org/10.1134/S0021894416010016

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894416010016

Keywords

Search

Navigation