## Four-Dimensional Equation of Motion for Viscous Compressible and Charged Fluid with Regard to the Acceleration Field, Pressure Field and Dissipation Field

**Authors:** Sergey G. Fedosin

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.

**Comments:** 13 pages. International Journal of Thermodynamics. Vol. 18 (No. 1), pp. 13-24, 2015. http://dx.doi.org/10.5541/ijot.5000034003.

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### Submission history

[v1] 2014-06-04 03:28:11

[v2] 2015-03-07 11:41:55

[v3] 2015-08-11 09:18:56

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