The Velocity Slip Boundary Condition Effects on Non-Newtonian Ferrofluid over a Stretching Sheet

Abstract

In this work, radioactive heat transfer analysis in non-Newtonian Ferrofluid over a stretchable sheet is considered. Furthermore, the effects of Arrhenius activation energy, magnetic dipole, velocity slip, and mass convective boundary condition are taken into account. The governing model is transformed into coupled ordinary equations (ODEs) via a similarity transformation. The solution of these resulting ODEs systems are computed by Runge–Kutta method (RK-45). The influence of beneficial physical parameters on momentum, pressure, energy, and concentration profiles are presented. The major finding of this study is the variation of the velocity field is reduced for the higher values of velocity slip parameters A 1 and β 2 and fluid material parameter H . The temperature field increases for higher values of Rd and decreases for Pr . Here we concluded that, the increasing or decreasing of the concentration, temperature, and velocity field for various physical parameters can be seen in the result and discussion section in detail. The physical quantities such as skin friction, Nusselt, and Sherwood numbers are examined.

A Study on Heat and Flow of Viscoelastic Dielectric Liquid Over an Inclined Stretching Sheet

“…A study explores the effects of thermal radiation, velocity slip, and mass convective boundary conditions on non-Newtonian heat transfer analysis. Within this research, an intriguing finding is unveiled: as the parameters for velocity slip and fluid material increase, the velocity field diminishes accordingly 20 . The significance of Jeffery fluid lies in its ability to influence the flow velocity of material, a characteristic not exhibited by the Oldroyd-B fluid.…”

Magnetic dipole effects on non‐Newtonian ferrofluid over a stretching sheet

“…Hayat et al 10,11 also considered the shear stress of an Eyring Powell fluid model as follows $$${\tau }_{i,j}=\mu \frac{\partial {u}_{i}}{\partial {u}_{j}}+\frac{1}{{\rm{\Gamma }}}{\sinh }^{-1}\left(\frac{1\partial {u}_{i}}{b\partial {u}_{j}}\right),$$$ where $$\mu $$ is taken for viscosity, $${\rm{\Gamma }}$$ and $$b$$ are the fluid materials parameters. We use the second order approximation as follows $$${\sinh }^{-1}\left(\frac{1\partial {u}_{i}}{b\partial {u}_{j}}\right)\cong \frac{1}{b}\left(\frac{\partial {u}_{i}}{\partial {u}_{j}}\right)-\frac{1}{6{b}^{3}}{\left(\frac{\partial {u}_{i}}{\partial {u}_{j}}\right)}^{3}$$$ by implementing the above assumption and the boundary layer approximation to the governing fluid model 35,52,53 (Eyring–Powell fluid ferrofluid with heat and mass transfer under the effects magnetic dipole) are stated from Equations (3) to (6) as follows: $$$\frac{\partial v}{\partial y}+\frac{\partial u}{\partial x}=0,$$$ …”

“…by implementing the above assumption and the boundary layer approximation to the governing fluid model 35,52,53 (Eyring-Powell fluid ferrofluid with heat and mass transfer under the effects magnetic dipole) are stated from Equations ( 3) to ( 6) as follows:…”

Irreversibility Analysis of Electromagnetic Hybrid Nanofluid Over a Stretchable Surface with Cattaneo-Christov Heat Flux Model: Finite Element Approach

“…Dhifaoui [56] illustrated a weak solution for the outside static Stokes equations with SBC. Zeb et al [57] proposed the SBC on Non-Newtonian Ferrofluid over an extending slip. There are many studies [58][59][60] probed the problem of slippage velocity in the flow model.…”