Peristaltic Pumping of Nanofluids through a Tapered Channel in a Porous Environment: Applications in Blood Flow

Abstract

In this study, we present an analytical study on blood flow analysis through with a tapered porous channel. The blood flow was driven by the peristaltic pumping. Thermal radiation effects were also taken into account. The convective and slip boundary conditions were also applied in this formulation. These conditions are very helpful to carry out the behavior of particle movement which may be utilized for cardiac surgery. The tapered porous channel had an unvarying wave speed with dissimilar amplitudes and phase. The non-dimensional analysis was utilized for some approximations such as the proposed mathematical modelling equations were modified by using a lubrication approach and the analytical solutions for stream function, nanoparticle temperature and volumetric concentration profiles were obtained. The impacts of various emerging parameters on the thermal characteristics and nanoparticles concentration were analyzed with the help of computational results. The trapping phenomenon was also examined for relevant parameters. It was also observed that the geometric parameters, like amplitudes, non-uniform parameters and phase difference, play an important role in controlling the nanofluids transport phenomena. The outcomes of the present model may be applicable in the smart nanofluid peristaltic pump which may be utilized in hemodialysis.

The effects of Joule heating and variable thermal conductivity on peristaltic pumping of Jeffrey nanofluid in the presence of heat transfer

“…Tripathi et al studied the MHD peristaltic flow of Jeffrey fluid through a finite length cylindrical tube. For more information about applications and uses of peristaltic, see References …”

Effect of the Variable Viscosity on the Peristaltic Flow of Newtonian Fluid Coated with Magnetic Field: Application of Adomian Decomposition Method for Endoscope

“…The closed form solution (13) is represented in terms of integrals for any kind of general variable viscosity. These integrals can be computed for particular values of variable viscosity µ.…”

“…There are many engineering processes in which peristaltic pumps are used to handle a wider range of fluids, particularly in the chemical and pharmaceutical industries. This mechanism is also used in the transport of slurries, sanitary fluids, and noxious fluids in the nuclear industry [11][12][13]. Extensive analytical, numerical, and experimental studies have been undertaken involving such flows.…”

Buoyancy Driven Flow with Gas-Liquid Coatings of Peristaltic Bubbly Flow in Elastic Walls

“…By imposing Equation (23) on Equations (12)- (22) and considering Re and δ approach zero, the corresponding expressions resulted in…”

“…Coating with viscous liquids is usually present in very rich industrial trials, which allow the coating of particles under the shear forces exerted in a mixing device. A list of key investigations on peristaltic flows [22][23][24], multiphase flows [25][26][27][28][29], bubbly flows [30][31][32][33][34], coatings [35][36][37][38][39][40], elastic medium [41,42], and several other references are available, which provide a more in-depth understanding to the reader.…”