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Nonlinear Dynamics and Applications pp 85–96Cite as

Motion of Adiabatic or Isothermal Flow Headed by a Magnetogasdynamic Cylindrical Shock Through Rotating Dusty Gas

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Abstract

Expansion of cylindrical shocks pushed out through a dynamic piston via rotating perfect dust-pervade gas in the presence of spatially diminishing magnetic field is inquired. The velocity and magnetic field are presumed to comply with power rules. The gas should be conducting electrically. The shock wave proceeds by mutable velocity as well as the total energy being non-stationary. Numerical calculations are accomplished to access the flow variable’s profiles. It is also assessed as to how the magnetic field affects the behaviour of the flow parameters. Further, it’s far exciting to word that in attendance of an azimuthal magnetic field the density and pressure evanesce at expansive region and therefore void is constituted at the symmetry’s axis, that’s in great accordance with laboratory situations to generate shock-wave.

Keywords

  • Magnetic field
  • Perfect dust-pervade gas
  • Rotating medium
  • Adiabatic and isothermal flows
  • Mechanics of fluids

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Acknowledgements

The author is thankful to Prof. M. K. Verma, Department of Physics, Indian Institute of Technology Kanpur, Kanpur–208016, India for fruitful discussions. This work was supported by the research grant no. TAR/2018/000150 under Teachers Associateship for Research Excellence (TARE) scheme from the Science and Engineering Research Board (SERB), India. The author gracefully acknowledges financial support from SERB.

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Authors and Affiliations

  1. Department of Mathematics, Government Shyama Prasad Mukharjee College, Sitapur, 497111, Chhattisgarh, India

    P. K. Sahu

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  1. P. K. Sahu
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Correspondence to P. K. Sahu .

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Editors and Affiliations

  1. Department of Mathematics, Politecnico di Torino, Torino, Italy

    Santo Banerjee

  2. Sikkim Manipal Institute of Technology, Sikkim Manipal University, East-Sikkim, India

    Asit Saha

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Sahu, P.K. (2022). Motion of Adiabatic or Isothermal Flow Headed by a Magnetogasdynamic Cylindrical Shock Through Rotating Dusty Gas. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_7

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