Cilt 18, Sayı 1, Sayfalar 13 - 24 2014-06-05
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## 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]

##### 194 163

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
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Birincil Dil en Regular Original Research Article Yazar: Sergey FedosinE-posta: intelli@list.ru
 Bibtex ```@ { eoguijt77094, journal = {International Journal of Thermodynamics}, issn = {1301-9724}, 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}, language = {en}, 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 - 2017 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