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One-dimensional cylindrical shock waves in non-ideal gas under magnetic field

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Abstract

In the present paper, we analyze the evolutionary behavior of imploding strong shock waves propagating through a non-ideal gas in the presence of axial magnetic field. An evolution equation has been constructed by using the method based on the kinematics of one-dimensional motion of shock waves. The values of similarity exponents have been calculated by using the first order truncation approximation which describes the decay behavior of strong shocks. The approximate values of the similarity exponents are compared with the similarity exponents calculated by the CCW approximation, the exact similarity solution and perturbation technique.

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Acknowledgements

Mayank Singh acknowledges the research support from “University Grant Commission (Govt of India)” (Sr. No. 2121540982 with Ref No. 20/12/2015(ii)EU-V).

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  1. Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Mayank Singh, Rajan Arora & Antim Chauhan

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  1. Mayank Singh
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  2. Rajan Arora
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  3. Antim Chauhan
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Correspondence to Rajan Arora.

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Singh, M., Arora, R. & Chauhan, A. One-dimensional cylindrical shock waves in non-ideal gas under magnetic field. Ricerche mat 71, 367–379 (2022). https://doi.org/10.1007/s11587-020-00524-6

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