Cu and Cu-SWCNT Nanoparticles’ Suspension in Pulsatile Casson Fluid Flow via Darcy–Forchheimer Porous Channel with Compliant Walls: A Prospective Model for Blood Flow in Stenosed Arteries

The use of experimental relations to approximate the efficient thermophysical properties of a nanofluid (NF) with Cu nanoparticles (NPs) and hybrid nanofluid (HNF) with Cu-SWCNT NPs and subsequently model the two-dimensional pulsatile Casson fluid flow under the impact of the magnetic field and thermal radiation is a novelty of the current study. Heat and mass transfer analysis of the pulsatile flow of non-Newtonian Casson HNF via a Darcy–Forchheimer porous channel with compliant walls is presented. Such a problem offers a prospective model to study the blood flow via stenosed arteries. A finite-difference flow solver is used to numerically solve the system obtained using the vorticity stream function formulation on the time-dependent governing equations. The behavior of Cu-based NF and Cu-SWCNT-based HNF on the wall shear stress (WSS), velocity, temperature, and concentration profiles are analyzed graphically. The influence of the Casson parameter, radiation parameter, Hartmann number, Darcy number, Soret number, Reynolds number, Strouhal number, and Peclet number on the flow profiles are analyzed. Furthermore, the influence of the flow parameters on the non-dimensional numbers such as the skin friction coefficient, Nusselt number, and Sherwood number is also discussed. These quantities escalate as the Reynolds number is enhanced and reduce by escalating the porosity parameter. The Peclet number shows a high impact on the microorganism’s density in a blood NF. The HNF has been shown to have superior thermal properties to the traditional one. These results could help in devising hydraulic treatments for blood flow in highly stenosed arteries, biomechanical system design, and industrial plants in which flow pulsation is essential.

Effects of (MHD) and wall properties oscillatory flow for williamson fluid with constant viscosity through porous channel

In this research, the williamson flow with heat transfer through the tube of compliant wall properties with slip at boundaries is analyzed analytically. An approximated theoretical model is constructed of springbacked flexible compliant walls pipe, chosen to move as sinusoidal wave

Influence of variable viscosity and wall properties on the peristalsis of Jeffrey fluid in a curved channel with radial magnetic field

The current investigation attempts to address the peristalsis exhibited by a Jeffrey fluid through channels with curvature and compliant walls. The flow of fluid is exposed to an external magnetic field. Moreover, variation of the viscosity of the fluid with the spatial coordinate is considered. Long wavelength and small values of Reynolds number are considered for the mathematical modeling of the problem under scope. The system of differential equations thus obtained is non-linear, the solution for which is obtained by the method of perturbation for small values of variable viscosity. The authors have provided special emphasis on the influence of pertinent parameters on velocity and trapping phenomenon. The results obtained suggest that as the channel changes from straight to curved, the velocity profile bends away from the center of the channel. Further, the trapped bolus volume is seen to be reducing with decrease in the Hartmann number.

Influence of Compliant Walls and Heat Transfer on the Peristaltic Transport of a Rabinowitsch Fluid in an Inclined Channel

In this paper, we investigate the peristaltic pumping of a Rabinowitsch fluid in an inclined channel under the effects of heat transfer and flexible compliant walls. The expressions for the velocity, the temperature and the coefficient of the heat transfer are obtained. The influence of emerging parameters on the velocity, the temperature, the coefficient of heat transfer and the trapping phenomenon of the Newtonian, dilatant and pseudoplastic fluid models are also analyzed graphically. We find that the velocity and the temperature fields decrease for shear thickening fluid; but the velocity and temperature fields of the shear thinning, and Newtonian fluids increase with an increase in the angle of inclination. Furthermore, there were more trapping boluses occurring for the Newtonian fluid case as compared to the pseudoplastic and dilatant fluids cases. However, as the angle of inclination increases, the size of trapping bolus decreases.