On Shock-Wave Phenomena: Waterlike Substances

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Abstract
The properties of shock waves in waterlike substances are investigated in detail. A waterlike substance is defined as one for which the intrinsic energy is separable into a sum of two terms, one of which is a function of density only and the second a function of specific entropy. It is known that many substances, including water, behave in this fashion within a large range of pressure variation. The paper consists of six sections. Section I contains some introductory material. Section II consists of a derivation of the basic equations that govern the propagation of plane shock waves in a waterlike substance. Section III is an analysis of one‐dimensional interaction of shock waves, rarefaction waves, and contact discontinuities in a medium of this type. It is shown that a number of intrinsic differences exist between the behavior of shock waves in waterlike substances and their behavior in ideal gases. In Section IV, one‐dimensional interaction of shock waves in arbitrary fluids is discussed. Section V presents the theory of regular reflection of shock waves in waterlike substances; while Section VI presents the theory of triple‐shock intersections. In both instances essential differences between the behavior of shock waves in waterlike substances and ideal gases are noted. The text is supplemented by numerous tables and charts.

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