Effects of Magnetohydrodynamics Flow on Multilayer Coatings of Newtonian and Non-Newtonian Fluids through Porous Inclined Rotating Channel

Abstract

In this study, we investigated multilayer coatings fully developed with steady Newtonian and non-Newtonian fluids through parallel inclined plates. The channel was rotating about the y-axis with angular velocity Ω. The channel contained three regions; Region 1 and Region 3 were filled with Newtonian fluid, while Region 2 had Jeffrey fluid through a porous medium. The governing equations were formed by using Navier stokes and energy equations. The equations were coupled and were non-linear due to the involvement of Darcy’s dissipation terms. The systems of equations for Region 1 and Region 3 were solved analytically, while the equations of Region 2 were solved by using the regular perturbation method. The effects of governing parameters such as magnetic field, Grashof number, the ratio of heights, angle of inclination, and ratio of viscosities on velocity and temperature were investigated, and the results are presented graphically in this paper. It is noted that the increase in buoyancy force incorporated through the Grashof number and the angle of inclination enhanced the axial and transverse velocities and the temperature for the three layers. We found that the Nusselt number increases by increasing the couple stress parameter and magnetic field parameters, and skin friction decreases at the lower plate. The main observation is that temperature and both velocity profiles increased in Region 2 with the increase in the Jeffrey parameter.

On low Reynolds number optimization of non‐linear partial differential equations for convergent–divergent engulfment: A numerical result

“…We have conducted line integration along the outer surface of the mounted obstacles to show the difference in drag and lift powers. Although various analytical and numerical schemes [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] are their like Homotopy perturbation method, variational iterative method, Adomian decomposition method, Homotopy, finite difference, and finite volume method to mention just a few. Here, each scheme has certain limitations subject to accuracy and convergence.…”

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

“…Te behavior of immiscible fuids infuenced by the properties of its components, such as their Newtonian and/ or non-Newtonian characteristics, viscosity, density, size, shape, the fow rate of the components, and the geometry of the system. In immiscible fuid fow, scholars study the nature of the interactions between the fuids, the fow patterns, and the way in which the fuids are distributed by considering Newtonian fuid and Newtonian fuid [7,[12][13][14], Newtonian fuid and Non-Newtonian fuid [15][16][17][18][19][20][21], and Non-Newtonian and Non-Newtonian fuids [18,[22][23][24] in diferent fow geometers; they concluded the second immiscible fuid has an efect on the fow properties of other fuid and very few of these studies have been conducted analytically.…”

Second order slip flow of a conducting Jeffrey nanofluid in an inclined asymmetric porous conduit with heat and mass transfer

“…Jeffrey fluid model is a well-known non-Newtonian model which is suitable in many real situations. Shehzad et al (2022) discussed the multi-layer flow of Jeffrey fluid through an inclined rotating channel. Lakshminarayana et al (2015) and Vajravelu et al (2011) studied the peristaltic flow of Jeffrey fluid in a vertical asymmetric channel with heat transfer.…”

“…Jeffrey fluid model is a well-known non-Newtonian model which is suitable in many real situations. Shehzad et al. (2022) discussed the multi-layer flow of Jeffrey fluid through an inclined rotating channel.…”