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  - Fedosin, Sergey
PY  - 2015
DA  - March
DO  - 10.5541/ijot.5000034003
JF  - International Journal of Thermodynamics
PB  - Kerem ERCOŞKUN
WT  - DergiPark
SN  - 1301-9724
SP  - 13
EP  - 24
VL  - 18
IS  - 1
LA  - en
AB  - 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.
KW  - Navier-Stokes equation; Dissipation field; Acceleration field; Pressure field; Viscosity
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UR  - https://doi.org/10.5541/ijot.5000034003
L1  - https://dergipark.org.tr/en/download/article-file/65908
ER  -