Geodesic
Development of small and large compressive pulses in two-phase flow
Applications of Mathematics, Tome 69 (2024) no. 2, pp. 233-255.

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The evolutions of small and large compressive pulses are studied in a two-phase flow of gas and dust particles with a variable azimuthal velocity. The method of relatively undistorted waves is used to study the mechanical pulses of different types in a rotational, axisymmetric dusty gas. The results obtained are compared with that of nonrotating medium. Asymptotic expansion procedure is used to discuss the nonlinear theory of geometrical acoustics. The influence of the solid particles and the rotational effect of the medium on the distortion are investigated. In a rotational flow it is observed that with the increase in the value of rotational parameter, the steepening of the pulses also increases. The presence of dust in the rotational flow delays the onset of shock formation thereby increasing the distance where the shock is formed first. The rotational and the dust parameters are observed to have the same effect on the shock strength.
DOI : 10.21136/AM.2024.0107-23
Classification : 35A18, 35B40
Keywords: hyperbolic system of equations; shock waves, asymptotic expansion 
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Palo, Nishi Deepa; Jena, Jasobanta; Chadha, Meera. Development of small and large compressive pulses in two-phase flow. Applications of Mathematics, Tome 69 (2024) no. 2, pp. 233-255. doi : 10.21136/AM.2024.0107-23. http://geodesic.mathdoc.fr/articles/10.21136/AM.2024.0107-23/

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