Effects of First-Order Reactant on MHD Turbulence at Four-Point Correlation
Applied and Computational Mathematics
Volume 4, Issue 1, February 2015, Pages: 11-19
Received: Jan. 1, 2015; Accepted: Jan. 18, 2015; Published: Jan. 30, 2015
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Authors
M. Abu Bkar Pk, Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Abdul Malek, Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
M. Abul Kalam Azad, Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
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Abstract
The purpose of this study is to determine the effect of first order reactant of MHD fluid turbulence for four-point correlations earlier than the ending phase. Three and four point correlation equations are obtained. The correlation equations are changed to spectral type by their Fourier-transform. By neglecting the quintuple correlations in comparison to the fourth order correlation terms. As a final point integrating the energy spectrum over all wave numbers and we obtained the energy decompose rule of MHD turbulence for magnetic field fluctuations due to the effect of first order reactant and the result has been shown graphically.
Keywords
Correlation Function, Deissler’s Method, First Order Chemical Reactant, Fourier-Transformation, Navier-Stokes Equation, MHD Turbulence
To cite this article
M. Abu Bkar Pk, Abdul Malek, M. Abul Kalam Azad, Effects of First-Order Reactant on MHD Turbulence at Four-Point Correlation, Applied and Computational Mathematics. Vol. 4, No. 1, 2015, pp. 11-19. doi: 10.11648/j.acm.20150401.13
References
[1]
Azad M.A.K, Aziz M.A and Sarker M.S.A, “Statistical theory of certain distribution functions in MHD turbulent flow for velocity and concentration undergoing a first order reaction in a rotating system.” Bangladesh Journal of Scientific and Industrial Research, 46(1):59-68. 2011.
[2]
Bkar Pk, M.A., M.A.K. Azad and M. S. Alam Sarker, “Decay of energy of MHD turbulence for four-point correlation.” International Journal of Engineering & Technology.1 (9):pp1-13. 2012.
[3]
Bkar Pk. M.A., M. A. K. Azad and M. S. Alam Sarker, “First-order reactant in homogeneou turbulence prior to the ultimate phase of decay for four-point correlation in presence of dust particle,”Res.J.Appl.Sci.Eng. Technol.,5(2):585-595. 2013a.
[4]
Bkar Pk, M.A., M.S.Alam Sarker and M.A.K. Azad, “Decay of MHD turbulence before the final period for four-point correlation in a rotating system.” Res. J. Appl. Sci. Eng. Technol., 6(15), 2789-2798. 2013b.
[5]
Chandrasekhar, S., “The invariant theory of isotropic turbulence in magneto-hydrodynamics,” Proc. Roy. Soc., London, and A204:435-449. 1951.
[6]
Corrsin, S., “On the spectrum of isotropic temperature fluctuations in isotropic turbulence.”J. Apll. Phys 22:469-473.1951.
[7]
Deissler, R.G., “On the decay of homogeneous turbulence before the final period.” Phys.Fluid, 1:111-121. 1958.
[8]
Deissler, R.G., “A theory of decaying homogeneous turbulence.” Phys. Fluid, 3:176-187. 1960.
[9]
Islam, M.A. and M.S.A Sarker, “First order reactant in MHD turbulence before the final period of decay for the case of multi-point and multi-time.” Indian J. pure appl. Math., 32(8):1173-1184. 2001.
[10]
Sarker, M. S. A. and N. Kishore, “Decay of MHD turbulence before the final period.” Int. J. Engng Sci., 29(11):1479-1485. 1991.
[11]
Kumar, P. and S.R.Patel, “First-order reactant in homogeneous turbulence before the final period of decay.” Phys .Fluids, 17: 1362-1368. 1974.
[12]
Kumar, P. and S.R.Patel, “First order reactant in homogeneous turbulence before the final period for the case of multi-point and multi-time.” Int. Eng. Sci, 13:305-315.1975.
[13]
Hossain M. M, M. A. Bkar Pk and M.S. A. Sarker “Homogeneous fluid turbulence before the final period of decay for four-point correlation in a rotating system for first-order reactant.” American Journal of Theoretical and Applied Statistics, 3(4):81-89. 2014b.
[14]
Bkar Pk, M.A., M. M. Hossain and M. A. K. Azad, “First-order reactant of homogeneous dusty fluid turbulence prior to the final period of decay in a rotating system for the case of multi-point and multi-time at four-point correlation.” Pure and Applied Mathematics Journal, 3(4):78-86.2014a.
[15]
Funada T, Tuitiya Y and Ohji M, ‘The effect of coriolis force on turbulent motion in presence of strong magnetic field.” Journal of the Physical Society Japan, 44:1020-1028. 1978.
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