The Effect of Slip Velocity on Unsteady Peristalsis MHD Blood Flow through a Constricted Artery Experiencing Body Acceleration

Abstract

In this analysis, we present a theoretical study to examine the combined effect of both slip velocity and periodic body acceleration on an unsteady generalized non-Newtonian blood flow through a stenosed artery with permeable wall. A constant transverse magnetic field is applied on the peristaltic flow of blood, treating it as an elastico-viscous, electrically conducting and incompressible fluid. Appropriate transformation methods are adopted to solve the unsteady non-Newtonian axially symmetric momentum equation in the cylindrical polar coordinate system with suitably prescribed conditions. To validate the applicability of the proposed analysis, analytical expressions for the axial velocity, fluid acceleration, wall shear stress and volumetric flow rate are computed and for having an adequate insight to blood flow behavior through a stenosed artery, graphs have been plotted with varying values of flow variables, to analyse the influence of the axial velocity, wall shear stress and volumetric flow rate of streaming blood.

Upscaled model for unsteady slip flow in porous media

“…Such a model has been employed in several different situations, such as flows in fluid-porous media systems (Breugem, Boersma & Uittenbogaard 2006; Jin & Kuznetsov 2017) and their stability analysis (Hill & Straughan 2008; Samanta 2020), fluid motion in a porous medium with slip at the macroscopic boundaries of the domain (Haddad, Al-Nimr & Sari 2007; Qayyum et al. 2015), and magnetohydrodynamic (MHD) flows (Ullah, Khan & Shafie 2017; Nandal, Kumari & Rathee 2019), among others. However, as suggested by Auriault (1980) and Allaire (1992), and further elaborated by Lasseux, Valdés-Parada & Bellet (2019) and Bottaro (2019) in a more general framework including inertial effects, the macroscopic model obtained by formal upscaling of the pore-scale equations, and validated by several numerical examples, does not correspond, in general, to the heuristic form, which relies on a separation of time scales between the pore-scale and the macroscale.…”

Dynamics of Ethylene Glycol-based Graphene and Molybdenum Disulphide Hybrid Nanofluid Over a Stretchable Surface With Velocity and Thermal Slip Conditions

“…Slip conditions are being extensively inspected by numerous researchers owing to their importance in the heat transport process which occurs due to the dissimilar fluid velocity and the velocity of fluid near the boundary. In industry, slip is widely used in micro heat exchangers, microelectronics cooling devices, polishing, artificial heart valves, internal cavities and drug delivery system [32][33][34]. Lately, Hussain et al [35] inspected the flow of graphene and ethylene glycol-based Maxwell nanofluid via a stretchable surface under the inspirations of thermal radiation, slip conditions, viscous and Joule dissipations.…”

Dynamics of ethylene glycol-based graphene and molybdenum disulfide hybrid nanofluid over a stretchable surface with slip conditions

“…Slip conditions are being extensively inspected by numerous researchers owing to their importance in the heat transport process which occurs due to the dissimilar fluid velocity and the velocity of fluid near the boundary. In industry, slip condition is widely used in micro heat exchangers, microelectronics cooling devices, polishing, artificial heart valves, internal cavities and drug delivery system 32 – 34 . Lately, Hussain et al 35 inspected the flow of graphene and ethylene glycol-based Maxwell nanofluid via a stretchable surface under the inspirations of thermal radiation, slip conditions, viscous and Joule dissipations.…”