Three-Dimensional MHD Rotating Flow of Viscoelastic Nanofluid in Porous Medium Between Parallel Plates

Alsubie

Mathematical Problems in Engineering

et al. 2021

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This article deals with three-dimensional non-Newtonian Jeffrey fluid in rotating frame in the presence of magnetic field. The flow is studied in the application of Hall current, where the flow is assumed in steady states. The upper plate is considered fixed, and the lower is kept stretched. The fundamental equations are transformed into a set of ordinary differential equations (ODEs). A homotopy technique is practiced for a solution. The variation in the skin friction and its effects on the velocity fields have been examined numerically. The effects of physical parameters are discussed in various plots.

Section: Introductionsupporting

confidence: 72%

Three-Dimensional Rotating Flow of MHD Jeffrey Fluid Flow between Two Parallel Plates with Impact of Hall Current

Alsubie

Mathematical Problems in Engineering

et al. 2021

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“…(iii) It is self-determining for an assortment of base function and linear operator. e solutions of equations ( 17)-( 20) with the consistent boundary conditions (21) are obtained by the use of analytic technique. Solution results obtained by HAM contained the assisting parameters h, which adjust and control to converge the solutions and bases functions.…”

Section: Solution By Hammentioning

confidence: 99%

“…Tauseef et al [19] and Rokni et al [20] have observed the magnetohydrodynamics and temperature effects on nanofluids flow in parallel plates with rotating system. M. Fiza et al Studied three-dimensional MHD rotating flow of viscoelastic nanofluid in porous medium between two parallel plates [21]. In the current situation, different hybrid technology is developing day by day.…”

Section: Introductionmentioning

confidence: 99%

Impact of Hall Current and Nonlinear Thermal Radiation on Jeffrey Nanofluid Flow in Rotating Frame

Alsubie

Mathematical Problems in Engineering

et al. 2021

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This research article deals with the nonlinear thermally radiated influences on non-Newtonian nanofluid considering Jeffrey fluid in a rotating system. The governing equations of the nanofluid have been transformed to a set of differential nonlinear equations, using suitable similarity variables. The Homotopy Analysis Method (HAM) and Runge–Kutta Method of order 4 (RK Method of order 4) are used for the solution of the modeled problem. The variation of the skin friction, Nusselt number, Sherwood number, and their impacts on the velocity distribution, temperature distribution, and concentration distribution have been examined. The influence of the Hall effect, rotation, Brownian motion, porosity, and thermophoresis analysis are also investigated. Moreover, for comprehension of the physical presentation of the embedded parameters, Deborah number β , viscosity parameter R , rotation parameter Kr , Brownian motion parameter Nb , porosity parameter γ , magnetic parameter M , Prandtl number Pr , thermophoretic parameter Nt , and Schmidt number Sc have been plotted and deliberated graphically. For large values of Brownian parameter, the kinetic energy increases, which in turn increases the temperature distribution, while the thermal boundary layer thickness decreases by increasing the radiation parameter, and the Hall parameter increases the motion of the fluid in horizontal direction. Also, the mass flux has been observed as a decreasing function at the lower stretching plate.

“…The pores are filled by a fluid under consideration. Fiza et al studied the nanofluid flows in a porous medium with viscoelastic properties [34]. The recent development in the study of nanofluid by considering various physical effects can be seen in [29,.…”

Section: Introductionmentioning

confidence: 99%

Effect of Joule Heating and Thermal Radiation of MHD Boundary Layer Oldroyd‐B Nanofluid Flow with Heat Transfer over a Porous Stretching Sheet by Finite Element Method

Journal of Nanomaterials

Khan

et al. 2022

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In this study, an incompressible two-dimensional Oldroyd-B nanofluid steady flow past a stretching sheet considering the outcomes of magneto-hydrodynamics (MHD) and porous medium with magnetic, electrical, and thermal radiation effects is investigated. Using a similarity transformation, the governing equations in the form of partial differential equations (PDEs) are converted into a nonlinear ordinary differential equations (ODEs) system. The acquired system is numerically solved by the finite element method (FEM). The effects of physical parameters like Deborah numbers “ β 1 ” and “ β 2 ”, Brownian motion “ N b ”, thermophoresis parameter “ N t ”, Prandtl parameter “ Pr ”, Lewis number “ L e ”, thermal conductivity “ k ”, dynamic viscosity “μ”, magnetic and electric effects as “ M ” and “ E 1 ”, and thermal radiation effect “ Rd ” on the flow are studied in detail. For higher N b values, regional Nusselt numbers are increasing in magnitude. The local Sherwood number’s size rises for high N b numbers.