Impact of slip boundary conditions, magnetic force, and porous medium on blood flow of Jeffrey fluid

Abstract

In this study, the comparative study of the peristaltic flow of Newtonian and non-Newtonian fluids under the consideration of the magnetic field in the porous inclined channel is investigated. The effects of velocity slip and convective boundary conditions are also considered. Moreover, the variable liquid properties are also taken. The mathematical model is developed with the help of the Jeffrey fluid model in the form of partial differential equations. After that, convert them into dimensional form by using the dimensionless quantities. The resultant system of equations is solved through the perturbation method and presented the solution of velocity, temperature, and concentration in analytical form. The impact of physical parameters on the velocity, temperature, and concentration profiles are highlighted with the help of the graphs. The outcomes revealed that the magnetic parameter slows down the velocity of the fluid while the Darcy number enhanced the velocity and temperature distribution and suppressed the concentration profile.

Numerical simulation of MHD two‐dimensional flow incorporated with joule heating and nonlinear thermal radiation

“…Heat transfer through boundary layer flow [32–34] is formulated as $$$$\begin{equation}u\frac{{\partial T}}{{\partial x}} + v\;\frac{{\partial T}}{{\partial y}} = {\rm{\;}}\alpha \frac{{{\partial ^2}T}}{{\partial {y^2}}} + \frac{\mu }{{\rho {C_p}}}{\left( {\frac{{\partial u}}{{\partial y}}} \right)^2} + \frac{\sigma }{{\rho {C_p}}}J.J - \frac{1}{{\rho {C_p}}}\frac{{\partial {q_r}}}{{\partial y}}.\end{equation}$$$$…”

The flow of non‐Newtonian fluid in an inclined channel through variable permeability

“…Ahmad et al 28 examined the analytical study on a couple stress fluid in an inclined channel. Finite element simulations of free convection flow inside a porous inclined cavity filled with micropolar fluid reported by Ali et al 29 The entropy analysis in the Rabinowitsch fluid model through the inclined wavy channel was explained by Nazeer et al 30 Numerical simulations of MHD flow of micropolar fluid inside a porous inclined cavity with uniform and nonuniform heated bottom studied by Nazeer et al 31 The impact of slip boundary conditions, magnetic force, and porous medium on blood flow of Jeffrey fluid discussed by Nazeer et al 32 Mathematical modelings and simulation of MHD electro‐osmotic flow of Jeffrey fluid in convergent geometry reported by Nazeer et al 33 Saleem et al 34 depicts the theoretical study of electro‐osmotic multiphase flow of Jeffrey fluid in a divergent channel with lubricated walls.…”

Hydrodynamics of Incompressible Creeping Couple Stress Fluid Through a Uniformly Porous Channel in Presence of Darcy Resistance: Exact Solution and Physical Insights Using the Inverse Method Approach

“…All inertial terms are ignored in creeping flow, and only viscous terms are considered. Nazeer et al [31] studied the influence of slip boundary circumstances, magnetic effect, and media with pores on Jeffrey fluid blood flow. Liu et al [32] explored the two-dimensional incompressible dynamics of time-dependent darcy flow coupled with Navier-Stokes flow.…”