Abstract
It is shown that the criterion of incompressibility applicable to any medium, contradicts to the real meaning of this term. On the basis of expression of speed of sound in inhomogeneous medium and generalized equation of continuity of mass obtained in papers [1,2] respectively, it is proved that so called internal gravitation waves do not exist in nature. This concept appeared as a result of incorrect interpretation of incompressibility of medium. Correct understanding of criteria of compressibility or incompressibility leads to qualitatively new understanding of homogeneity or heterogeneity of medium, in particular—only strongly inhomogeneous medium can be incompressible while weakly inhomogeneous medium is always compressible. Besides, it is shown that in inhomogeneous media additional terms are added to known hydrodynamic (gas dynamic) correlations applicable to any medium which disappear at transfer to homogeneous model of medium.
Highlights
IntroductionThe medium is considered incompressible if Cs or if Cs V0 , where V0 is a characteristic speed of liquid motion
It is common knowledge that all researches that have been carried out in the sphere of gas and hydrodynamics so far were based on the assumption that the speed of sound in the medium is the speed of distribution of perturbation of density which occurs as a result of change of the mass of the given volume of liquid at constant entropy and is determined by the formula C Cs p sThe medium is considered incompressible if Cs or if Cs V0, where V0 is a characteristic speed of liquid motion
It is shown that the criterion of incompressibility applicable to any medium, contradicts to the real meaning of this term
Summary
The medium is considered incompressible if Cs or if Cs V0 , where V0 is a characteristic speed of liquid motion. From this it follows that in the course of investigation of wave processes (except sound one), any stationary medium can be considered incompressible Such approach leads to falling of the equation of state of medium p Cs2 connecting perturbed values of density and pressure from the system of hydrodynamic equations. Geneous Cs ,C Cp and having neglected the third summands in respect to its smallness as compared to other summands, we will get (2.12) This equation is nothing else but equation of sound wave in strongly inhomogeneous liquid which is transverse with respect to oscillations of speed and longitudinal with respect to oscillations of density. It can be obtained directly from (2.10) having laid v 0 and C Cp
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