A Relativistic Model of Fluids Motion

Abstract

The paper suggests a relativistic model of fluids motion combining the conventional formulation of the relativistic fluid mechanics with the "Maxwell's formulation" of equations of the relativistic flow field, following from application of the 4D formalism in deducing Maxwell's equations with the 4-potential replaced by the 4-momentum flux. The model is formulated to demonstrate a possibility of an alternative interpretation of viscosity effects in non-relativistic and relativistic situations. The model complements also the similarities in mathematical formulation of fluid mechanics and electrodynamics addressed in different contexts.

Physics of Solution of Primary Task of the Turbulence Problem

“…The other type of the similarities is related to the theories located symmetrically in respect to the classical (Hamiltonian) mechanics − the common origin of the setup of descriptions of macroscopic and microscopic fields. Besides the similarities between the formulation of the statistical mechanics and the quantum mechanics, of the electrodynamics and the classical fluid mechanics (the similarity increases if instead of the classical fluid mechanics its relativistic version (Heinloo, 2010a) is considered) and of the statistical fluid mechanics and the statistical theory of strong interaction (reflected, in particular, in the commented in (Monin & Jaglom, 1975) possibility of formulation of statistical description of turbulence in the form of the equation similar to the Schwinger equation in quantum theory of fields of strong interaction), the indicated type of similarity expects also a similarity between the formulation of the TM (in the form including spin) and the theory of strong interaction denoted by SI in Figure 1. The presence of the turbulence spin (understood as the local dynamic average measure of eddy rotation) is a direct outcome of the Richardson-Kolmogorov turbulence conception (Richardson, 1922;Kolmogorov, 1941).…”