In this paper, we have studied the influence of wall properties and aligned magnetic field on the peristaltic transport and heat and mass transfer of a Jeffrey/Newtonian nanofluid in a tapered channel. The analytical solutions are obtained for the stream function, the temperature and the concentration. Further, we obtained the Nusselt and Sherwood numbers at the wall. The effects of all important parameters on the physical quantities of the flow for both Jeffrey and Newtonian fluids are investigated through graphs and deliberated in detail. The velocity and temperatures are high for Newtonian fluid than Jeffrey fluid and the opposite situation is observed for concentration field. The large values of the magnetic parameter suppress the velocity and temperature fields but the reverse situation is seen in the case of concentration field. Also observed that the inclination angle of magnetic field and wall parameters have shown a significant effect on this investigation. © 2019, EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

Lakshmi Narayana Pallavarapu

Department of Mathematics

School of Advanced Sciences

Vellore Campus

K Vajravelu

G Sucharitha

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

The European Physical Journal Special Topics

Fulltext

Transport properties of nanofluids and applications

In recent days, the analysis of peristalsis is playing an important role in nanobiotechnology due to the transmission of a wave along the channel/tube parapets containing fluid. This is also useful to transport the sanitary and some corrosive industrial fluids. In view of this, the peristalsis has become an essential research topic in both medicine and engineering. The object of this paper is to investigate the combined effects of Joule heating and the velocity slip on the peristaltic flow of magnetohydrodynamic nanofluid in an aligned non-uniform channel with a porous medium. The analytical solution is attained for the velocity field. Moreover, the shooting method is employed for obtaining numerical solutions of energy and concentration. Simultaneous solutions are executed for the inclined and horizontal flow geometries and discussed through graphs and tabular results for various values of significant parameters. Trapping phenomena are analyzed for different physical parameters and noticed a significant effect on trapping phenomena. A significant deviation is found in concentration and thermal fields in horizontal and inclined channels. Further, the present results are validated with the existing literature for some special cases. © 2019 by American Scientific Publishers.

Journal of Nanofluids

Magnetohydrodynamic Nanofluid Flow in a Non-Uniform Aligned Channel with Joule Heating

In this paper, we have investigated the influence of thermophoresis and Brownian motion on three dimensional slip flow of a conducting Casson nanofluid and heat and mass transfer over an exponentially stretching sheet. The effects of relevant parameters on velocity, temperature and concentration are illustrated through graphs and tables. The growth in Brownian motion and thermophoresis parameters enhances the thermal boundary layer and temperature field. Further, the Nusselt number for different values of Pr and temperature exponent A is calculated for the base fluid and the results are validated with the earlier results. Also, noticed that the present results have good agreement with the previous results. © 2019 by American Scientific Publishers.

Thermophoresis and Brownian Motion Effects on Three Dimensional Magnetohydrodynamics Slip Flow of a Casson Nanofluid Over an Exponentially Stretching Surface

This paper describes the combined effects of magnetic field and slip on convective peristaltic transport of a Bingham fluid in an inclined nonuniform porous channel with flexible walls. By using the approximations of lengthy wave and small Reynolds number, the governing equations are solved analytically and the expressions for stream function, velocity, temperature, and heat transfer coefficient are obtained. The impact of the relevant parameters on flow pattern is analyzed through graphs. It is noticed that the velocity enhances for the higher values of slip parameter and the absence of slip reduces the velocity, whereas the opposite behavior is observed for temperature and heat transfer coefficient. The increment in magnetic and permeability parameters reduces the velocity, temperature, and heat transfer coefficient. The inclination of the channel improves both velocity and temperature. Furthermore, the important and interesting trapping phenomenon is discussed in detail. Also, the present results are in good agreement with the existing work in the literature. © 2018 by Begell House, Inc. www.begellhouse.com

Journal of Porous Media

EFFECTS OF MAGNETIC FIELD AND SLIP ON CONVECTIVE PERISTALTIC FLOW OF A NON-NEWTONIAN FLUID IN AN INCLINED NONUNIFORM POROUS CHANNEL WITH FLEXIBLE WALLS

Peristaltic flow of a conducting Jeffrey fluid in an inclined asymmetric channel is investigated. The channel asymmetry is produced by considering a peristaltic wave train on the flexible walls of the channel with different amplitudes and phases. The nonlinear governing equations are solved analytically by a perturbation technique. The expressions for the stream function, axial velocity and the pressure rise per wavelength are determined in terms of the Jeffrey number λ1, the Froude number Fr, the perturbation parameter δ, the angle of inclination θ and the phase difference ϕ. Effects of the physical parameters on the velocity field and the pumping characteristics are discussed. It is observed that the size of the trapping bolus increase with an increase in the magnetic parameter and the volume flow rate. That is, the magnetic parameter and the volume flow rate have strong influence on the trapping bolus phenomenon.

International Journal of Biomathematics

Peristaltic transport of a conducting Jeffrey fluid in an inclined asymmetric channel

Mathematics and Computers in Simulation

Entropy analysis and nanofluid past a double stretchable spinning disk using Homotopy Analysis Method

Effect of heat and mass transfer on the peristaltic flow of a Jeffrey nanofluid in a tapered flexible channel in the presence of aligned magnetic field

Journal	Data powered by TypesetThe European Physical Journal Special Topics
Publisher	Data powered by TypesetSpringer Science and Business Media LLC
ISSN	1951-6355
Open Access	0