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     Research Journal of Mathematics and Statistics

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2010(Vol.2, Issue:2)
Article Information:

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 and M.S.A. Sarker
Corresponding Author:  Md. Nazrul Islam Mondal 
Submitted: 2009 November, 20
Accepted: 2010 January, 25
Published: 2010 June, 25
Abstract:
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.

Key words:  Concentration, distribution functions, first order reaction, MHD turbulence, rotating system, ,
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Cite this Reference:
M.A. Aziz, M.A.K. Azad and M.S.A. Sarker, . Statistical Theory of Distribution Functions in Magneto-hydrodynamic Turbulence in a Rotating System Undergoing a First Order Reaction in Presence of Dust Particles. Research Journal of Mathematics and Statistics, (2): Page No: 37-55.
ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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