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Shock waves in reactive hydrodynamics

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Abstract

Using the weakly non-linear geometrical acoustics theory, we obtain the small amplitude high frequency asymptotic solution to the basic equations in Eulerian coordinates governing one dimensional unsteady planar, spherically and cylindrically symmetric flow in a reactive hydrodynamic medium. We derive the transport equations for the amplitudes of resonantly interacting waves. The evolutionary behavior of non-resonant wave modes culminating into shock waves is also studied.

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Authors and Affiliations

  1. DPT, IIT Roorkee, Saharanpur Campus, Saharanpur, 247001, UP, India

    Rajan Arora, Amit Tomar & V. P. Singh

Authors
  1. Rajan Arora
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  2. Amit Tomar
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  3. V. P. Singh
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Correspondence to Rajan Arora.

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Communicated by A. Merlen.

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Arora, R., Tomar, A. & Singh, V.P. Shock waves in reactive hydrodynamics. Shock Waves 19, 145–150 (2009). https://doi.org/10.1007/s00193-009-0192-z

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  • DOI: https://doi.org/10.1007/s00193-009-0192-z

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