Effect of solid dust particles on the propagation of shock wave in planar and non-planar gasdynamics |
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| Institution: | 1. Department of Mathematics, Indian Institute of Technology Bombay, Mumbai 400076, India;2. Department of Mathematics, University of Mumbai, Mumbai 400098, India;1. Department of Mathematics, University of Delhi, Delhi 110007, India;2. Department of Mathematics, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi 110078, India;1. Department of Mathematics, SoE, University of Petroleum and Energy Studies, Dehradun, 248007, India;2. Department of Mathematics, Shia P. G. College, Lucknow, 226020, India;3. Department of Applied Sciences, Institute of Engineering & Technology, Lucknow, 226021, India |
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| Abstract: | The aim of the present study is to analyze the propagation of shock wave along the characteristic path in planar and non-planar unsteady compressible ideal gas flow in presence of small solid dust particles. The analytical solution of the governing quasilinear hyperbolic system is computed in the characteristic plane and it is found that this analytical linear solution in this plane can exhibit non-linear phenomenon in the physical plane. The effect of the dust particles on the evolutionary behavior of the propagating shock wave in ideal gas flow is discussed. The transport equations leading to the evolution of shock wave is determined which introduces the conditions of shock formation. The growth and decay of compressive waves and expansive waves, respectively, in planar and non-planar ideal gas dynamics influenced by the presence of small solid dust particles, is discussed. |
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