3-Point Distribution Functions in the Statistical Theory in Mhd Turbulent Flow for Velocity, Magnetic Temperature and Concentration under going a First Order Reaction

M. A. K. Azad; Abdul Malek; M. Abu Bkar Pk

3-Point Distribution Functions in the Statistical Theory in Mhd Turbulent Flow for Velocity, Magnetic Temperature and Concentration under going a First Order Reaction

M. A. K. Azad * §

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Abdul Malek

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M. Abu Bkar Pk

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§ Applied Mathematics,University of Rajshahi,Bangladesh

3-Point Distribution Functions in the Statistical Theory in Mhd Turbulent Flow for Velocity, Magnetic Temperature and Concentration under going a First Order Reaction

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Abstract

In this paper, an attempt is made to study the three-point distribution function for simultaneous velocity, magnetic temperature and concentration fields in MHD turbulence under going a first order reaction. The various properties of constructed distribution functions have been discussed. Through out the study, the transport equation for three-point distribution functions in MHD turbulent flow under going a first order reaction has been obtained. The obtained equation is compared with the first equation of BBGKY hierarchy of equations and the closure difficulty is to be removed as in the case of ordinary turbulence.

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41 Cites in Article

Reference Format

Eberhard Hopf (1952). Statistical Hydromechanics and Functional Calculus.
R Kraichanan (1959). Distribution functions in the statistical theory of covective MHD turbulent flow.
S Edward (1964). The statistical dynamics of homogeneous turbulence.
J Herring (1965). Self-consistent field approach to turbulence theory.
W Ta-You (1966). Kinetic Theory of Gases and Plasma.
T Lundgren (1967). Hierarchy of coupled equations for multi-point turbulence velocity distribution functions.
T Lundgren (1969). A closure hypothesis for the hierarchy of equations for turbulent probability distribution functions.
N Kishore (1978). Distribution functions in the statistical theory of MHD turbulence of an incompressible fluid.
Stephen Pope (1979). The statistical theory of turbulent flames.
S Pope (1981). Transport equation for the joint probability density function of velocity and scalars in turbulent flow.
W Kollman,J Janica (1982). The transport equation for the probability density function of a scalar in turbulent shear flow.
M Azad,M Nazmul Islam,Mst. Mumtahinah (1984). Transport Equations of Three-point Distribution Functions in MHD Turbulent Flow for Velocity, Magnetic Temperature and Concentration.
N Kishore,S Singh (1985). Transport equation for the joint distribution function of velocity, temperature and concentration in convective turbulent flow.
T Dixit,B Upadhyay (1989). Distribution functions in the statistical theory of MHD turbulence of an incompressible fluid in the presence of the Coriolis force.
M Sarker,N Kishore (1991). Distribution functions in the statistical theory of convective MHD turbulence of an incompressible fluid.
M Sarker,N Kishore (1999). Distribution functions in the statistical theory of convective MHD turbulence of an incompressible fluid.
Mak Azad,M Aziz,Ms Sarker (2004). Statistical Theory of Certain Distribution Functions in MHD Turbulent Flow for Velocity and Concentration Undergoing A First Order Reaction in a Rotating System.
Ms Sarker,Mak Azad (2004). Decay of Temperature Fluctuations in Homogeneous Turbulence before the Final Period for the Case of Multi-Point and Multi-Time in a Rotating System.
M Sarker,M Azad (2006). Decay of temperature fluctuations in homogeneous turbulence before the final period for the case of multi-point and multi-time in a rotating system.
M Islam,M Sarker (2007). Distribution functions in the statistical theory of MHD turbulence for velocity and concentration undergoing a first order reaction.
Mak Azad,M Aziz,Ms Sarker (2009). First Order Reactant in Magneto-Hydrodynamic Turbulence before the Final Period of Decay in Presence of Dust Particle.
M Azad,M Aziz,M Sarker (2009). First order reactant in MHD turbulence before the final period of decay in a rotating system.
M Aziz,M Azad,M Sarker (2009). First order reactant in Magneto-hydrodynamic turbulence before the final period of decay for the case of multi-point and multi-time in a rotating system.
M Aziz,M Azad,M Alam Sarke (2010). Statistical Theory of Certain Distribution Functions in MHD Turbulent Flow Undergoing a First Order Reaction in Presence of Dust Particles.
M Aziz,M Azad,M Alam Sarke (2010). Statistical Theory of Certain Distribution Functions in MHD Turbulent Flow Undergoing a First Order Reaction in Presence of Dust Particles.
M Aziz,M Azad,M Sarker (2010). First order reactant in MHD turbulence before the final period of decay for the case of multi-point and multitime in a rotating system in presence of dust particle.
M Azad,M Aziz,M Sarker (2011). Statistical Theory of certain Distribution Functions in MHD Turbulent flow for Velocity and Concentration Undergoing a First Order Reaction in a Rotating System.
M Azad,M Molla,M Rahman (2012). Transport Equatoin for the Joint Distribution Function of Velocity, Temperature and Concentration in Convective Tubulent Flow in Presence of Dust Particles.
M Bkar Pk,M Azad,M Sarker (2012). First-order reactant in homogeneou dusty fluid turbulence prior to the ultimate phase of decay for four-point correlation in a rotating system.
M Bkar Pk,M Azad,M Sarker (2013). First-order reactant in homogeneous turbulence prior to the ultimate phase of decay for four-point correlation in presence of dust particle.
M Bkar Pk,M Sarker,M Azad (2013). Homogeneous turbulence in a first-order reactant for the case of multi-point and multi-time prior to the final period of decay in a rotating system.
M Bkar Pk,M Azad,M Sarker (2013). Decay of dusty fluid MHD turbulence for four-point correlation in a rotating System.
M Azad,M Molla,M Rahman Transport Equatoin for the Joint Distribution Functions in Convective Tubulent Flow in Presence of Dust Particles undergoing a first order reaction.
M Molla,M Azad,M Rahman (2013). Transport equation for the joint distribution functions 3-Point Distribution Functions in the Statistical Theory in MHD Turbulent flow for Velocity, Magnetic Temperature and Concentration under going a First Order Reaction © 2015 Global Journals Inc. (US) convective turbulent flow in presence of coriolis force.
M Azad,Mst. Mumtahinah (2014). Decay of Temperature Fluctuations in Dusty Fluid Homogeneous Turbulence Prior to the Ultimate Period in Presence of Coriolis Force.
M Azad,M Nazmul Islam,Mst. Mumtahinah (2014). Transport Equations of Three-point Distribution Functions in MHD Turbulent Flow for Velocity, Magnetic Temperature and Concentration.
M Azad,M Islam (2014). Transport Equations of Three Point Distribution Functions in MHD Turbulent Flow for Velocity, Magnetic Temperature and Concentration in a Rotating System.
M Islam,M Azad (2014). Transport equations of three-point distribution functions in MHD turbulent flow for velocity, magnetic temperature and concentration in presence of dust particles.
M Bkar Pk,A Malek,M Azad (2015). Effects of first-order reactant on MHD turbulence at fourpoint correlation.
M Azad,Mst Mumtahinah,M Bkar Pk (2015). Transport equation for the joint distribution functions of certain variables in convective dusty fluid turbulent flow in a rotating system under going a first order reaction.
M Bkar Pk,A Malek,M Azad (2015). 4-point correlations of dusty fluid MHD turbulent flow in a 1 st order reaction.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

M. A. K. Azad, Abdul Malek, M. Abu Bkar Pk. 2015. "3-Point Distribution Functions in the Statistical Theory in Mhd Turbulent Flow for Velocity, Magnetic Temperature and Concentration under going a First Order Reaction". Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 15 (GJSFR Volume 15 Issue A2).

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GJSFR Volume 15 Issue A2

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-A Classification FOR Code: 010506p

Submission ReceivedFebruary 18, 2015
Peer Review Double Blind
Handling Editor
Accepted March 14, 2015
Published March 27, 2015

Version of record

v1.2

Issue date

May 6, 2015

Language

English

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Article Matrices

Total Score: 147

Country: Bangladesh

Subject: Global Journal of Science Frontier Research

Authors: M. A. K. Azad, Abdul Malek, M. A. Bkar Pk (PhD/Dr. count: 0)

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