Next Article in Journal
Preparations of Silver/Montmorillonite Biocomposite Multilayers and Their Antifungal Activity
Next Article in Special Issue
Impact of Second-Order Slip and Double Stratification Coatings on 3D MHD Williamson Nanofluid Flow with Cattaneo–Christov Heat Flux
Previous Article in Journal
Synthesis and Characterization of Ni–W/Cr2O3 Nanocomposite Coatings Using Electrochemical Deposition Technique
Previous Article in Special Issue
Numerical Investigation of Multiple Solutions for Caputo Fractional-Order-Two Dimensional Magnetohydrodynamic Unsteady Flow of Generalized Viscous Fluid over a Shrinking Sheet Using the Adams-Type Predictor-Corrector Method
Open AccessArticle

Convective Heat Transfer and Magnetohydrodynamics Across a Peristaltic Channel Coated With Nonlinear Nanofluid

1
Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan
2
Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia
*
Author to whom correspondence should be addressed.
Coatings 2019, 9(12), 816; https://doi.org/10.3390/coatings9120816
Received: 28 October 2019 / Revised: 24 November 2019 / Accepted: 28 November 2019 / Published: 2 December 2019
(This article belongs to the Special Issue Recent Trends in Coatings and Thin Film–Modeling and Application)
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.
Keywords: nanofluid; Williamson model; peristaltic pumping; convective boundary conditions; asymmetric channel; analytic solutions nanofluid; Williamson model; peristaltic pumping; convective boundary conditions; asymmetric channel; analytic solutions
MDPI and ACS Style

Riaz, A.; Alolaiyan, H.; Razaq, A. Convective Heat Transfer and Magnetohydrodynamics Across a Peristaltic Channel Coated With Nonlinear Nanofluid. Coatings 2019, 9, 816.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop