Development of small and large compressive pulses in two-phase flow

Nishi Deepa Palo; Jasobanta Jena; Meera Chadha

Applications of Mathematics (2024)

  • Issue: 2, page 233-255
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Palo, Nishi Deepa, Jena, Jasobanta, and Chadha, Meera. "Development of small and large compressive pulses in two-phase flow." Applications of Mathematics (2024): 233-255. <http://eudml.org/doc/299265>.

@article{Palo2024,
abstract = {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.},
author = {Palo, Nishi Deepa, Jena, Jasobanta, Chadha, Meera},
journal = {Applications of Mathematics},
keywords = {hyperbolic system of equations; shock waves; asymptotic expansion},
language = {eng},
number = {2},
pages = {233-255},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Development of small and large compressive pulses in two-phase flow},
url = {http://eudml.org/doc/299265},
year = {2024},
}

TY - JOUR
AU - Palo, Nishi Deepa
AU - Jena, Jasobanta
AU - Chadha, Meera
TI - Development of small and large compressive pulses in two-phase flow
JO - Applications of Mathematics
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 2
SP - 233
EP - 255
AB - 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.
LA - eng
KW - hyperbolic system of equations; shock waves; asymptotic expansion
UR - http://eudml.org/doc/299265
ER -

References

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