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.
Highlights
Nanofluids attract current predilection because of its heat conduction attributes
After knowing the significance of the above discussed phenomena, authors are keen to develop a series solution of peristaltic flow of nanofluid with Williamson fluid model as a base liquid with convective boundary conditions travelling through asymmetric channel
The incompressible Williamson model is chosen as a base fluid for nanofluid in between an asymmetric channel experiencing heat convection at the peristaltic type surfaces
Summary
Boundary conditions, or thermal conductivity of liquids can improve convective heat transfer. In 1995, Choi [2] proposed a liquid with nano-sized particles suspended in a base liquid to eliminate the disadvantages of micro-sized particles These liquids have efficient convective heat transfer compared to pure liquids. The assessment of heat transfer is related to the conditions of convection used in processes such as thermal conductivity, mechanical properties, chemical reactions, and so on. After knowing the significance of the above discussed phenomena, authors are keen to develop a series solution of peristaltic flow of nanofluid with Williamson fluid model as a base liquid with convective boundary conditions travelling through asymmetric channel. The important features are analyzed by sketching graphs to estimate the impact of pertinent constant physical factors
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