Affiliations: [a] Mathematics Discipline, Khulna University, Khulna,
Bangladesh | [b] Department of Mathematics, University of Dhaka, Dhaka,
Bangladesh
Correspondence:
[*]
Corresponding author: M. Ferdows, Department of Mathematics,
University of Dhaka, Dhaka-1000, Bangladesh. E-mail: ferdows@du.ac.bd
Abstract: This work has been numerically studied the fluid flow structure in
the presence of magnetic field through a rotating rectangular straight duct
under various flow conditions. Spectral method is applied as a main tool for
the numerical calculation technique, where the Chebyshev polynomial, the
Collocation method and the Newton-Raphson method are also used as secondary
tools. The Magnetohydrodynamics incompressible viscous steady fluid flows in a
straight duct of rectangular cross-section rotating at a constant angular
velocity about the center of the duct of the cross-section is numerically
investigated to examine the combined effects of Magnetic parameter
(M_g), Rotational Parameter (T_r),
Pressure driven parameter (D_n) and aspect ratio
(γ)=b/a whereas a is the half width and b is the half height of the duct
cross-section, Ω is the angular velocity, μ is the viscosity, ν is
the kinematic viscosity. One of the interesting phenomena of the flow is the
solution curve and the flow structure. The flow structures in case of small
rotation of the duct axis and the pressure gradient with small Magnetic
parameter as well as large Rotational Parameter and Large Magnetic Parameter
have been considered while other parameters are remain constant. The
calculations are carried out for 0.1⩽ M_g ⩽ 32000,
5⩽ T_r ⩽ 32000, D_n = 500, 1000,
1500, 2000,9000,10000,11000,12000 and 12500 where the aspect ratio γ
=1.0.
Keywords: MHD, straight duct, rotation, magnetic effect, spectral method
