Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field
Abstract
From the principle of least action the equation of motion for viscous compressible and charged fluid is derived. The viscosity effect is described by the 4-potential of the energy dissipation field, dissipation tensor and dissipation stress-energy tensor. In the weak field limit it is shown that the obtained equation is equivalent to the Navier-Stokes equation. The equation for the power of the kinetic energy loss is provided, the equation of motion is integrated, and the dependence of the velocity magnitude is determined. A complete set of equations is presented, which suffices to solve the problem of motion of viscous compressible and charged fluid in the gravitational and electromagnetic fields.
References
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Year 2015,
Volume: 18 Issue: 1, 13 - 24, 07.03.2015
Abstract
References
- C. Navier, Memoir sur Ies Iois du mouvement des fluids, Mem, de L' Ac. Royale de sc. de L' Institut de France, 6, 389-440, 1827.
- S. D. Poisson, Mémoire sur les équations générales de l'équilibre et du mouvement des corps solides élastique et des fluids, J. Ecole Polytechn., 13, 1-174, 1831.
- G. G. Stokes, On the theories of the internal friction of fluids in motion and of the equilibrium and motion of elastic solids, Trans. Cambr. Philos. Society, 8, 287-319, 1849.
- A. J. C. Saint-Venant (Barre), Note à joindre au Mémoire sur la dynamique des fluides, Comptes Rendus, r. Acact. Sci., 17, 1240-1243, 1843.
- S. I. Khmelnik, Navier-Stokes equations. On the existence and the search method for global solutions, Bene-Ayish, Israel: MiC - Mathematics in Computer Comp., 2010.
- L. D. Landau, E. M. Lifshitz, Fluid Mechanics, Vol. 6
- (2nd ed.). Oxford: Butterworth-Heinemann, 1987 .
- S. G. Fedosin, About the cosmological constant, acceleration field, pressure field and energy, Relativity and Cosmology, 2014.
- S. G. Fedosin, Fizicheskie teorii i beskonechnaia vlozhennost’ materii, Perm, 2009.
- S. G. Fedosin, The integral energy-momentum 4- vector and analysis of 4/3 problem based on the pressure field and acceleration field, American J, Modern Phys., 3, 152-167, 2014.
- S. G. Fedosin, Relativistic energy and mass in the weak field limit, Jordan J. Physics, 2014.
- S. G. Fedosin, The principle of least action in covariant theory of gravitation, Hadronic J., 35, 35- 70, 2012.
- S. G. Fedosin, The general theory of relativity, metric theory of relativity and covariant theory of gravitation. Axiomatization and critical analysis, Int. J. Theoret. Appl. Phys., 4, 9-26, 2014.
- S. G. Fedosin, Fizika i filosofiia podobiia ot preonov do metagalaktik, Perm: Style-mg, 1999.
There are 14 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Regular Original Research Article |
| Authors | |
| Publication Date | March 7, 2015 |
| Published in Issue | Year 2015 Volume: 18 Issue: 1 |