Convective Heat Transfer and Magnetohydrodynamics across a Peristaltic Channel Coated with Nonlinear Nanofluid

Abstract

The aim of the current study is to present an analytical and numerical treatment of a two-dimensional peristaltic channel along with the coating of laminar layers of nanoparticles with non-Newtonian (Williamson) base liquid. In addition to this, convective heat transfer and magnetic field effects also take into consideration. The geometry is considered as an asymmetric two dimensional channel experiencing sinusoidal waves propagating across the walls. The walls are supposed to have heat convection at the upper wall and the lower wall is having no temperature gradient. The problem is manufactured under the theory of lubrication approach. The mathematical models are evolved by using appropriate transformations. The obtained nonlinear differential equations are solved analytically. Graphical features are presented to find the influence of emerging physical parameters on the stream function, velocity of the nanofluid, heat transfer, nanoparticles concentration, pressure gradient, and pressure increase. It is found that the velocity decreases in the lower part while increasing in the upper side of the channel in the presence of nanoparticles. The temperature is becoming large with increasing amount of nanoparticles and heat convection at the boundaries. It is also observed that nanoparticle concentration is getting higher with Brownian motion parameter, but fluid becomes less thermal against thermophoresis parameter. The streamlines phenomenon clearly reflects the asymmetry of the channel. The characteristics of viscous fluid can be recovered by switching the Weissenbureg number (We) to zero.

Mathematical Analysis of Entropy Generation in the Flow of Viscoelastic Nanofluid through an Annular Region of Two Asymmetric Annuli Having Flexible Surfaces

“…In order to solve the resulting nonlinear system of partial differential equations, we applied the fast converging analytical technique (OHPM). According to the scheme, the deformation equations for the current problem may be written as [33][34][35][36][37]:…”

“…Making use of Equations (34)- (36) into Equations (30)- (32) and equating the coefficients of exponents of q, we gather the system of ordinary differential equations, which can be solved easily on mathematical software by built-in commands. The volume flow rate Q can be noted as [26]:…”

Entropy Analysis on a Three-Dimensional Wavy Flow of Eyring–Powell Nanofluid: A Comparative Study

“…One such model due to Buongiorno [34] was developed in many ways. Some researchers [35][36][37][38][39] revealed the basics of nanofluids' contribution in different geometries with the peristaltic wave.…”

Effects of Double Diffusion Convection on Third Grade Nanofluid through a Curved Compliant Peristaltic Channel

“…Nadeem et al [14] obtained an analytical solution for pumping transport of Williamson nanofluid through a curved channel with compliant walls and offered the readings under the variation of curvature of the enclosure and heat transfer coefficient. Although a large number of studies on the peristaltic flow of conventional fluids are available, only a few articles have been reported on the peristaltic flow of nanofluids [15][16][17][18]. In this regard, Akbar et al [19] investigated the copper nanoparticles impinging on a curved channel with compliant walls and peristalsis.…”