Pairwise Wave Interactions in Ideal Polytropic Gases

Pairwise Wave Interactions in Ideal Polytropic Gases

We consider the problem of resolving all pairwise interactions of shock waves, contact waves, and rarefaction waves in 1-dimensional flow of an ideal polytropic gas. Resolving an interaction means here to determine the types of the three outgoing (backward, contact, and forward) waves in the Riemann problem defined by the extreme left and right states of the two incoming waves, together with po...

Degenerate Fermi Gases with p-wave interactions

Interaction of an acceleration wave with a strong shock in reacting polytropic gases

This chapter is concerned with the problem of interaction of an acceleration wave with a strong shock wave in reacting gases. The general theory of wave interaction problem has its origin from the works of Jeffrey [35] and Boillat & Ruggeri [36, 40]. Radha, Sharma & Jeffrey [23] have shown that the general theory of wave interaction problem which originated from the work of Jeffrey [35] leads t...

Ideal Quantum Gases

The indistinguishability of identical particles has profound effects at low temperatures and/or high density where quantum mechanical wave packets overlap appreciably. The occupation representation is used to study the statistical mechanics and thermodynamics of ideal quantum gases satisfying FermiDirac or Bose-Einstein statistics. This notebook concentrates on formal and conceptual development...

On Classical Ideal Gases

We show that the thermodynamics of ideal gases may be derived solely from the Democritean concept of corpuscles moving in vacuum plus a principle of simplicity, namely that these laws are independent of the laws of motion, aside from the law of energy conservation. Only a single corpuscle in contact with a heat bath submitted to a z and t-invariant force is considered. Most of the end results a...