Abstract:
The thesis entitled "Theoretical investigations of turbulence and Magnetohydrodynamic
turbulence in incompressible fluid" is being presented for the
award of the degree of Doctor of Philosophy in Mathematics. It is the outcome of
my researches conducted in the Department of Mathematics, Rajshahi University,
Rajshahi, Bangladesh under the guidance of Dr. M. Shamsul Alam Sarker,
Professor, Department of mathematics, Rajshahi University, Rajshahi-6205,
Bangladesh.
The thesis has been divided into six chnptcrs. The first is a general introductory
chapter and gives the general idea of turbulence and Magneto-hydrodynamics
turbulence and its principal concepts. Some results and theories, which arc needed
in the subsequent chapter, have been included in this chapter. A brief review of the
past researches related lo this thesis has also been given.
In the second chapter we have discussed the decay of temperature 11uclualion in
homogeneous turbulence before the final petiod for the case of multi-point and
multi-time. Two-point, two-lime and three-point, three-time Fourier-lransfom1ed
temperature equations is made detenninate by neglecting the fourth-order
correlation tem1s. Finally, we have obtained the decay law of temperature
iluctualion energy before the final period.-----
Description:
This Thesis is Submitted to the Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh for The Degree of Doctor of Philosophy (PhD)
