The Linearity of the Euler Equation as a Result of the Compressibility of a Fluid

Kirtskhalia, Vladimir G.

doi:10.4236/jmp.2019.104030

Cited by 2 publications

(5 citation statements)

References 14 publications

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“…This led to a radical change in many established dogmas and ideas in aero and hydrodynamics, which are recognized by the international scientific community (work [8] is posted on several sites on the Internet (see, for example, [16]) and work [14] is posted in the NASA database [17]). Despite this, the Internet [18] to this day gives the values of the speed of sound at different heights of the atmosphere, calculated by the formula (15). Obviously, this can be explained by the fact that our theoretical results have not been experimentally confirmed.…”

Section: Conflicts Of Interestmentioning

confidence: 82%

“…We can see that the true value of the speed of sound in the Earth's atmosphere truly depends on the altitude (density) and condition 0 z = is equivalent to the condition 0 g = . Thus, at the sea level, air is a homogeneous medium and the speed of sound should be calculated by the Equation (15).…”

Section: Introductionmentioning

confidence: 99%

“…As can be seen the nonlinear term dropped out of the Euler equation and, therefore, there is no contradiction. The Equation (30) along with the Equation (27) was used by us in the problem of the capillary waves [15], after which all existing contradictions were removed.…”

Section: Introductionmentioning

confidence: 99%

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Mutual Influence of the Atmosphere and the Ocean under Wave Processes

Kirtskhalia¹,

Ninidze²

2021

JMP

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The article solves the problem of surface gravitational waves using the theory of tangential discontinuity between media: air-water. Using the improved equation of mass continuity and taking into account the atmosphere inhomogeneity in the gravitational field of the Earth, it is shown that during wave processes, these two media mutually influence each other, which explains the reason for the formation of a stormy condition over the ocean and the drop in atmospheric pressure before the storm. The mechanism of the formation of the "killer wave" has been established and thus the "greatest mystery of nature" has been solved. The scale of wind and tsunami wavelengths has been established.

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Section: Conflicts Of Interestmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

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Mutual Influence of the Atmosphere and the Ocean under Wave Processes

Kirtskhalia¹,

Ninidze²

2021

JMP

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“…The first term on the right-hand side of ( 13) describes the change of density as a result of pressure fluctuations at constant entropy or an adiabatic change in the mass of a substance in a constant volume, and the second describes a change in density due to fluctuations in entropy (temperature) at constant pressure, or an isobaric change in the volume of a substance of constant mass. Applying the well-known relations of thermodynamics (for detailed calculations, see [5]), expression (13) can be reduced to the form:…”

Section: Correct Determination Of the Speedof Sound And Fundamental E...mentioning

confidence: 99%

“…is the displacement of the surface along the axis Z , and then we obtain the dispersion equation of the capillary wave, whose solution is [13]:…”

Section: Correct Determination Of the Speedof Sound And Fundamental E...mentioning

confidence: 99%

Contradictions in the Theory of Gas and Hydrodynamics as a Consequence of Incorrectness Fundamental Equations

Kirtskhalia

2022

EJPHYSICS

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The author drew attention to the contradictions existing in the theory of gas and hydrodynamics as well as in magnetohydrodynamics as early asin 1994, when he publishedthe article “On the stability problem of the tangential discontinuity” in the journal “Planetary and Space Sciences” [1]. Particularly intensive theoretical research in this direction has been carried out over the past 10 years at I. Vekua Sokhumi Institute of Physics and Technology and at Sokhumi State University. Many works have been published in reputable journals, in which the contradictions and absurdity of some of the concepts ingrainedin modern gas and hydrodynamics have been shown, and ways to overcome them have been indicated. Despite of this, these works did not receive proper feedback from the scientific communityand it can be explained by the conservatism of thinking of specialists in this field of physics. Based on this, we believe that it will be useful to provide interested readers with a review article based on the most important works published by us andonce again todraw their attention to the relevance of the problem.

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The Linearity of the Euler Equation as a Result of the Compressibility of a Fluid

Abstract: It is shown that when the compressibility of a fluid is taken into account, the nonlinear term disappears in the Euler equation. The validity of this approach is proved by the example of capillary waves.

Cited by 2 publications

References 14 publications

Mutual Influence of the Atmosphere and the Ocean under Wave Processes

Mutual Influence of the Atmosphere and the Ocean under Wave Processes

Contradictions in the Theory of Gas and Hydrodynamics as a Consequence of Incorrectness Fundamental Equations

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