1963Journal of Fluid MechanicsRequires access

Extreme temperatures in shock-wave interactions with rarefaction waves

G. A. Bird

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Abstract

The method of characteristics is used to calculate numerical solutions for the head-on collision of a shock wave with a centred rarefaction wave in the onedimensional unsteady flow of a perfect gas. It is found that, for sufficiently strong shock waves, the rate of increase in the strength of the shock as it propagates through the rarefaction is so great that the temperature behind the shock reaches extreme values.

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What this paper is about

The method of characteristics is used to calculate numerical solutions for the head-on collision of a shock wave with a centred rarefaction wave in the onedimensional unsteady flow of a perfect gas. It is found that, for sufficiently strong shock waves, the rate of increase in the strength of the shock as it propagates through the rarefaction is so great that the temperature behind the shock reaches extreme values.

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Available abstract

The method of characteristics is used to calculate numerical solutions for the head-on collision of a shock wave with a centred rarefaction wave in the onedimensional unsteady flow of a perfect gas. It is found that, for sufficiently strong shock waves, the rate of increase in the strength of the shock as it propagates through the rarefaction is so great that the temperature behind the shock reaches extreme values.

Key concepts: Rarefaction (ecology), Shock wave, Mechanics, Shock (circulatory), Physics, Moving shock, Flow (mathematics), Classical mechanics

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