@article{article_77094, title={Four-dimensional equation of motion for viscous compressible and charged fluid with regard to the acceleration field, pressure field and dissipation field}, journal={International Journal of Thermodynamics}, volume={18}, pages={13–24}, year={2015}, DOI={10.5541/ijot.5000034003}, author={Fedosin, Sergey}, keywords={Navier-Stokes equation; Dissipation field; Acceleration field; Pressure field; Viscosity}, 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.}, number={1}, publisher={Uluslararası Uygulamalı Termodinamik Derneği İktisadi İşletmesi}