Hydrodynamics and Stellar Winds by Walter J. Maciel

Author:Walter J. Maciel
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

so that

that is,

(8.10)

Substituting (8.10) in (8.8), and dropping the subscript in ρ 0, we get

that can be written as

(8.11)

which is a wave equation. Naturally, the term c s is propagation velocity of the sound wave, or speed of sound, given by

(8.12)

The introduction of perturbations in a moving fluid as given by Eqs. (8.1) is related to the important issue of the fluid stability. Several physical processes may lead to the growth of perturbations in fluids, which also generate instabilities. In this book, these processes are not taken into account, and the interested reader may consult some of the texts in the bibliography at the end of the chapter.

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