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Steepened wave in two-phase Chaplygin flows comprising a source term

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  • Shah, Sarswati
  • Singh, Randheer
  • Jena, Jasobanta

Abstract

This manuscript brings some qualitative features of steepened wave in isentropic Chaplygin two-phase flows with a non-constant source term via Lie group transformation. The transport equation for steepened wave is determined. The behaviour of amplitude of steepened wave is investigated using the numerical solution of the system. The effects of inclination of the flow on the amplitude of singular surface are also shown.

Suggested Citation

  • Shah, Sarswati & Singh, Randheer & Jena, Jasobanta, 2022. "Steepened wave in two-phase Chaplygin flows comprising a source term," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    • Handle: RePEc:eee:apmaco:v:413:y:2022:i:c:s0096300321007402
    DOI: 10.1016/j.amc.2021.126656
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    References listed on IDEAS

    as
    1. Kuila, S. & Raja Sekhar, T., 2018. "Interaction of weak shocks in drift-flux model of compressible two-phase flows," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 222-227.
    2. Minhajul, & Zeidan, D. & Raja Sekhar, T., 2018. "On the wave interactions in the drift-flux equations of two-phase flows," Applied Mathematics and Computation, Elsevier, vol. 327(C), pages 117-131.
    3. Satapathy, Purnima & Raja Sekhar, T., 2018. "Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 107-116.
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    Cited by:

    1. Tingting Chen & Weifeng Jiang & Tong Li & Zhen Wang & Junhao Lin, 2024. "Riemann Problem for the Isentropic Euler Equations of Mixed Type in the Dark Energy Fluid," Mathematics, MDPI, vol. 12(16), pages 1-20, August.

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