Strong shock wave propagation in a mixture of a gas and dusty particles with gravitational force

Details Strong shock wave propagation in a mixture of a gas and dusty particles with gravitational force Strong shock wave propagation in a mixture of a gas and dusty particles with gravitational force

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981zamm...61..209p&link_type=abstract

Zeitschrift für angewandte Mathematik und Mechanik, vol. 61, June 1981, p. 209-214.

Astronomy and Astrophysics

Astrophysics

Dust, Gas Mixtures, Gravitational Effects, Shock Wave Propagation, Two Phase Flow, Astrophysics, Binary Mixtures, Mathematical Models, Propagation Velocity

Scientific paper

The presence of gravitational force in the considered problem makes it generally impossible to obtain similarity solutions. However, when the shock wave is strong and the shock speed has a large value, the gravitational force effect will be small because the Froude number will be very large. In this case, it is possible to use perturbation theory based on the similarity solution reported by Pai et al. (1980) to find the first-order effect of gravitational force on the strong shock propagation in a mixture of a gas and dusty particles. Except for the inclusion of the gravitational force terms, the present investigation is similar to the study conducted by Pai et al. (1980). It is found that the consideration of the gravitational force leads to some fundamental changes in the pressure, density, and velocity histories behind the propagating strong shock.

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