MHD Mixed Convection Micropolar Fluid Flow through a Rectangular Duct

Abstract

Mixed convection flow through a rectangular duct with at least one of the sides of the walls of the rectangle being isothermal under the influence of transversely applied magnetic field has been analyzed numerically in this study. The governing differential equations of the problem have been transformed into a system of nondimensional differential equations and then solved numerically. The dimensionless velocity, microrotation components, and temperature profiles are displayed graphically showing the effects of various values of the parameters present in the problem. The results showed that the flow field is notably influenced by the considered parameters. It is found that increasing the aspect ratio increases flow reversal, commencement of the flow reversal is observed after some critical value, and the applied magnetic field increases the flow reversal in addition to flow retardation. The microrotation components flow in opposite direction; also it is found that one component of the microrotation will show no rotational effect around the center of the duct.

On the MHD flow and heat transfer of a micropolar fluid in a rectangular duct under the effects of the induced magnetic field and slip boundary conditions

“…Also, it is observed that the fluid rotates in the negative y-direction at the left region of the duct. But in the right region, it rotates about the positive y-direction [13,16]. Figure 2e presents the maximum magnitude of temperature along x-axis at the center of the left vertical wall and decreasing at the center of the duct, it increases by a smaller rate when approaching to the center of the right vertical wall, while the maximum value of temperature along y-axis at the center and the rate is decreased when it is near to the horizontal walls.…”

“…Janardhana et al [15] investigated numerically the thermal radiation heat transfer effect on the unsteady MHD flow of micropolar fluid over a uniformly heated vertical hollow cylinder using Bejan's heat function concept. Ayano et al [16] investigated numerically of mixed convection flow through a rectangular duct under the transversely applied magnetic field with at least one of the sidewalls of the duct being isothermal, the governing differential equations have been transformed into a system of nondimensional differential equations and are solved numerically such as the velocity, temperature, and microrotation component profiles are displayed graphically. Miroshnichenko et al [17] investigated numerically the laminar mixed convection of micropolar fluid through a horizontal wavy channel by the finite difference method, they solved the system of equations of dimensionless stream function, vorticity and temperature then, studied the effects of Reynolds, Rayleigh, Prandtl numbers, vortex viscosity parameter and undulation number onto streamlines, isotherms, vorticity isolines as well as horizontal velocity and temperature profiles.…”

Effect of thermal radiation on MHD micropolar Carreau nanofluid with viscous dissipation, Joule heating and internal heating

“…They reported that the gradual increase of thermal radiation parameter caused a decline in the velocity pro le. MHD mixed convection micropolar uid ow through a rectangular duct was studied by Ayano et al [15], and they observed that the ow reversal increased and velocity decreased as the magnetic eld was intensi ed. Roy and Gorla [16] analyzed the time-dependent MHD micropolar uid past a wedge, and explored that the magnetic eld parameter considerably a ected the amplitude of the drag coe cient.…”

"Eppur ruota": modelling the ocean as a fluid with spin

“…For some of these fluids the unresolved rotatory motion arises from the asymmetric shape of their molecules, but for others it is an eddying motion existing on microscales, the molecules themselves being roughly point-like. These unresolved eddies visibly affect the resolved motion, for example leading to an altered resolved viscosity or to enhancement of flows and jets (Peddieson 1972;Chaturani et al 1984;Kirwan Jr. 1986;Siddiqui 2016;Ayano et al 2018).…”