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

Authors : Sergey FEDOSİN

Pages : 13-24

Doi:10.5541/ijot.5000034003

View : 35 | Download : 9

Publication Date : 2015-03-07

Article Type : Research Paper

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.
Keywords : Navier Stokes equation, Dissipation field, Acceleration field, Pressure field, Viscosity

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