Non-Isothermal Fluid Flow through a Rotating Curved Duct with Aspect Ratio of 3 in the Presence of Magnetic Field, Hall, and Ion-slip Currents

Abstract

A fully developed non-isothermal, steady, incompressible, viscous fluid flow passes along the centerline direction of a rotating curved duct with a large aspect ratio in the presence of the magnetic field; Hall and Ion-slip current are investigated in this study. This duct is generated by keeping the heated outer and cooled inner walls; the lower and upper walls are adiabatic. The gravitational force, pressure gradient force, Lorentz force, Coriolis force, and centrifugal force act on the flow as an external force. These forces are generated due to action of gravity, pressure on the flow, magnetic field with Hall and Ion-slip current, rotation, and curvature of the duct respectively. The pressure gradient forces (namely Dean Forces) are applied in the centerline direction of the duct. Therefore, the flow is accelerated along the centerline direction of the curved duct. The numerical solutions are carried out by the spectral method as the primary tool. In contrast, the Newton-Raphson, Chebyshev polynomial, Collocation, and Arc-length methods are used as secondary tools. The effects of the parameters, namely Grashof number (Gr), Taylor number (Tr), Dean Number (Dn), magnetic parameter(M), Hall parameter (m), and Ion-slip parameter (?) on the flow of the velocity and temperature profiles are investigated by the solution curve for the flux versus above mentioned parameter separately and their corresponding flow structures are studied at several cross-sections on the curved duct. As the new findings, the results have been shown under the various values of M, m and ? at Dean Number Dn=300 curvature of the duct ?=0.1 and Taylor number is at Tr=20.