School of Mathematics and Statistics

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Browsing School of Mathematics and Statistics by Author "Ambika, K."
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    Progressive waves in non-ideal gases
    ( 2014-01-01) Ambika, K. ; Radha, R. ; Sharma, V. D.
    Using the theory of progressive waves and some related procedures, waves of finite and moderately small amplitudes, influenced by the effects of non-linear convection, attenuation and geometrical spreading are studied in an imperfect gas modeled by the van der Waals equation of state; conditions within the wave region, which lead to a shock or no shock depend strongly on the van der Waals gas-parameters. A few specific cases are considered to trace out a complete history of shock decay after its formation. Asymptotic decay laws for perfect gases are exactly recovered.
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    Riemann problem in non-ideal gas dynamics
    ( 2016-09-01) Ambika, K. ; Radha, R.
    In this paper we consider the Riemann problem for gas dynamic equations governing a one dimensional flow of van der Waals gases. The existence and uniqueness of shocks, contact discontinuities, simple wave solutions are discussed using R-H conditions and Lax conditions. The explicit form of solutions for shocks, contact discontinuities and simple waves are derived. The effects of van der Waals parameter on the shock and simple waves are studied. A condition is derived on the initial data for the existence of a solution to the Riemann problem. Moreover, a necessary and sufficient condition is derived on the initial data which gives the information about the existence of a shock wave or a simple wave for a 1-family and a 3-family of characteristics in the solution of the Riemann problem.