Work place: Department of Mathematics, Islamic University, Kushita-7003, Bangladesh
E-mail: mizan_iu@yahoo.com
Website:
Research Interests: Numerical Analysis, Mathematical Analysis, Analysis of Algorithms, Computer systems and computational processes, Physics and Engineering
Biography
M. M. Rahman was born in Bangladesh on 11thJanuary, 1984. He received the B.Sc. (Honours) in Mathematics and M.Sc. in Applied Mathematics degrees from Khulna University. He is currently a Lecturer in the Department of Mathematics, Islamic University (IU), Kushtia, Bangladesh. His research directions include Numerical Analysis, Wavelet Analysis, Nonlinear Analysis, Statistical Analysis and Fluid Mechanics.
DOI: https://doi.org/10.5815/ijisa.2013.09.09, Pub. Date: 8 Aug. 2013
Non-isothermal flow through a curved square channel with strong curvature is investigated numerically by using the spectral method and covering a wide range of the Dean number, Dn, 100≤Dn≤6000 for the curvature δ=0.5. A temperature difference is applied across the vertical sidewalls for the Grashof number , where the outer wall is heated and the inner one cooled. After a compressive survey over the parametric ranges, two branches of asymmetric steady solutions with two- and four-vortex solutions are obtained by the Newton-Raphson iteration method. Then, in order to investigate the non-linear behavior of the unsteady solutions, time evolution calculations as well as power spectrum of the solutions are obtained, and it is found that in the unsteady flow undergoes in the scenario “steady → periodic → multi-periodic → chaotic”, if Dn is increased.
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