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Wave front analysis of weak nonlinear waves in a two-phase flow of gas and dust particles

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Abstract

The non-linear behavior of waves including the characteristic front, the expansion wave front and the shock front, in a mixture of gas and dust particles has been studied. Such waves are conceived of as produced by a piston moving with a small velocity as compared with the speed of sound. The trajectories of these waves and the particle paths in the physical plane are determined. The effect of solid particles and the adiabatic heat exponent on the wave propagation is also investigated.

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Authors and Affiliations

  1. Dept of Mathematics, The Ohio State University, 43302, Marion, OH, USA

    V. D. Sharma, R. R. Sharma, B. D. Pandey & N. Gupta

  2. Dept of Mathematics, IIT Bombay, India

    V. D. Sharma

  3. Dept of Applied Mathematics, Institute of Technology, 221005, BHU, Varanasi, India

    R. R. Sharma & N. Gupta

Authors
  1. V. D. Sharma
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  2. R. R. Sharma
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  3. B. D. Pandey
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  4. N. Gupta
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Sharma, V.D., Sharma, R.R., Pandey, B.D. et al. Wave front analysis of weak nonlinear waves in a two-phase flow of gas and dust particles. Z. angew. Math. Phys. 44, 799–811 (1993). https://doi.org/10.1007/BF00942810

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  • DOI: https://doi.org/10.1007/BF00942810

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