2020, Volume 9
2019, Volume 8
2018, Volume 7
2017, Volume 6
2016, Volume 5
2015, Volume 4
2014, Volume 3
2013, Volume 2
2012, Volume 1

Volume 5, Issue 2, April 2016, Page: 32-38
Numerical Representation of MHD Turbulence Prior to the Ultimate Phase of Decay
Ripan Roy, Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
M. Abu Bkar Pk, Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Received: Feb. 26, 2016;       Accepted: Mar. 8, 2016;       Published: Mar. 21, 2016
DOI: 10.11648/j.pamj.20160502.11      View  3984      Downloads  125
Following Deissler’s approach the magnetic field fluctuation in MHD turbulence prior to the ultimatephase of decay is studied. Two and three point correlation equations have been obtained and the set of equations is made determinate by neglecting the quadruple correlations in comparison with second and third order correlations. The correlation equations are changed to spectral form by taking their Fourier transforms. The decay law for magnetic field fluctuations is obtained and discussed the problem numerically and represented the results graphically.
Correlation Function, Deissler’s Method, Fourier-Transformation, Matlab, Navier-Stokes Equation
To cite this article
Ripan Roy, M. Abu Bkar Pk, Numerical Representation of MHD Turbulence Prior to the Ultimate Phase of Decay, Pure and Applied Mathematics Journal. Vol. 5, No. 2, 2016, pp. 32-38. doi: 10.11648/j.pamj.20160502.11
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Biskamp, D., “Magnetohydrodynamic turbulence.” Cambridge U. P., UK, pp. 75-77, 2003.
Bkar Pk, M. A. Abdul Malek, M. A. K. Azad, “Effects of First-Order Reactant on MHD Turbulence at Four-Point Correlation.” Applied and Computational Mathematics, Vol. 4, Issue 1, pp. 11-19, 2015.
Bkar Pk., M. A., M. S. A. Sarker and M. A. K. Azad, “Decay of MHD turbulence prior to the ultimate phase in presence of dust particle for four-point correlation.” International Journal of Applied Mathematics and Mechanics, Vol. 9(10), pp.34-57, 2013.
Boyd, J. P., “Chebyshev and Forier spectral method.” second edition, Dover, Mineola, NY, 2001.
Chandrasekhar, S., “The invariant theory of isotropic turbulence in magneto-hydrodynamics.” Proc. Roy. Soc. London, A 204, 435, 1951.
Corrsin, S., “The spectrum of isotropic temperature fluctuations in isotropic turbulence.” Journal of Applied Physics, Vol. 22, pp. 469-473, 1951.
Deissler, R. G., “A theory of decaying homogeneous turbulence.” Physics of Fluids, Vol. 3, pp. 176-187, 1960.
Deissler, R. G., “On the decay of homogeneous turbulence for times before the final period.” Physics of Fluids, Vol. 1, pp. 111-121, 1958.
Islam, M. A. and M. S. A. Sarker, “The first order reactant in MHD turbulence before the final period of decay for the case of multi-point and multi-time.” Indian Journal of Pure and Applied Mathematics, Vol. 32, pp. 1173-1184, 2001.
Loeffler, A. L. and R. G. Deissler, “Decay of temperature fluctuations inhomogeneous turbulence before the final period.” International Journal of Heat Mass Transfer, Vol. 1, 312-324, 1961.
Monuar Hossain, M., M. Abu Bkar Pk, M.S. Alam 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 Theoritical and Applied Statistics, Vol. 3, Issue 4, pp. 81-89, 2014.
Rahaman, M. L., “Decay of first order reactant in incompressible MHD turbulence before the final period for the case of multi-point and multi-time in a rotating system.” J. Mech. Cont. & Math. Sci. Vol. 4(2), pp. 509-522, 2010.
Sarker, M. S. A. and N. Kishore, “Decay of the MHD turbulence before the final period.” Intenational Journal of Engineering Science, Vol. 29(11), pp. 1479-1485, 1991.
Shebalin, J. V., “Ideal homogeneous magnetohydrodynamic turbulence in the presence of rotation and a mean magnetic field.” Journal of Plasma Physics, Vol. 72, part 4, pp. 507-524, 2006.
Shebalin, J. V., “The statistical mechanics of ideal homogeneous turbulence.” NASA TP-2002-210783, NASA JSC, Houston, TX, 2002.
Browse journals by subject