Statistical Theory of Distribution Functions in Magneto-hydrodynamic Turbulence in a Rotating System Undergoing a First Order Reaction in Presence of Dust Particles

M.A. Aziz ； M.A.K. Azad ； M.S.A. Sarker

《Research Journal of Mathematics and Statistics》 2卷2期 (2010/06) Pp. 37-55

並列摘要

In this research, a hierarchy of equations for evolution of one and two-point bivariate distribution for simultaneous velocity, magnetic, temperature, concentration fields and reaction in MHD turbulent flow in a rotating system undergoing a first order reaction in presence of dust particles have been derived. Various properties of constructed distributions such as reduction, separation, coincidence, symmetric and incompressibility conditions have been discussed. Finally, a comparison of the equation for one-point distribution functions in the case of zero viscosity and negligible diffusivity is made with the first equation of BBGKY hierarchy in the kinetic theory of gases.

並列關鍵字

Concentration ； distribution functions ； first order reaction ； MHD turbulence ； rotating system