| | | |

## Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field

#### Sergey Fedosin [1]

##### 361 264

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.
Navier-Stokes equation; Dissipation field; Acceleration field; Pressure field; Viscosity
• 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.
Birincil Dil en Regular Original Research Article Yazar: Sergey Fedosin
 Bibtex @ { ijot77094, journal = {International Journal of Thermodynamics}, issn = {1301-9724}, eissn = {2146-1511}, address = {Yaşar DEMİREL}, year = {2014}, volume = {18}, pages = {13 - 24}, doi = {10.5541/ijot.5000034003}, title = {Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field}, key = {cite}, author = {Fedosin, Sergey} } APA Fedosin, S . (2014). Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field. International Journal of Thermodynamics, 18 (1), 13-24. DOI: 10.5541/ijot.5000034003 MLA Fedosin, S . "Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field". International Journal of Thermodynamics 18 (2014): 13-24 Chicago Fedosin, S . "Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field". International Journal of Thermodynamics 18 (2014): 13-24 RIS TY - JOUR T1 - Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field AU - Sergey Fedosin Y1 - 2014 PY - 2014 N1 - doi: 10.5541/ijot.5000034003 DO - 10.5541/ijot.5000034003 T2 - International Journal of Thermodynamics JF - Journal JO - JOR SP - 13 EP - 24 VL - 18 IS - 1 SN - 1301-9724-2146-1511 M3 - doi: 10.5541/ijot.5000034003 UR - http://dx.doi.org/10.5541/ijot.5000034003 Y2 - 2018 ER - EndNote %0 International Journal of Thermodynamics Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field %A Sergey Fedosin %T Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field %D 2014 %J International Journal of Thermodynamics %P 1301-9724-2146-1511 %V 18 %N 1 %R doi: 10.5541/ijot.5000034003 %U 10.5541/ijot.5000034003 ISNAD Fedosin, Sergey . "Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field". International Journal of Thermodynamics 18 / 1 (Haziran 2014): 13-24. http://dx.doi.org/10.5541/ijot.5000034003