The aim of this study is to analyze the influence of wall flexibility and Joule heating on the peristaltic transport of a conducting nanofluid in uniform/non-uniform porous channel. The exact solutions are obtained for stream function and velocity. Further, R-K-Fehlberg integration scheme is applied to solve the energy and concentration equations. Results obtained and discussed for the flow over uniform and non-uniform geometries at different values of relevant parameters. Moreover, the trapping phenomena are investigated with the help of streamlines. Non-uniform geometry parameter, magnetic parameter, and permeability parameter have a strong impact on trapping phenomena. The fluid velocity is high in the diverging channel when compared to the uniform channel, while the situation is reversed for temperature and concentration fields. © 2017 Elsevier Ltd

Lakshmi Narayana Pallavarapu

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Sucharitha G

Sandeep N.

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

International Journal of Mechanical Sciences

Indian Journal of Physics

Combined effect of viscous dissipation and Joule heating on MHD flow past a Riga plate with Cattaneo–Christov heat flux

In the present work, we obtained analytical solutions for peristaltic flow and heat transfer of a Herschel-Bulkley (HB) fluid in an inclined non-uniform conduit with elastic walls. The effects of the physical parameters on the axial velocity, the streamlines, the temperature and the rate of heat transfer are discussed through graphs. Further, we discussed the results for the peristaltic transport of Newtonian, Bingham and power-law fluids. The variation in the power-law index n shows that the values of the velocity and the temperature fields are grater for shear thinning (n &lt; 1) HB fluids than the shear thickening (n &gt; 1) HB fluids. Also for n = 1, the results agree very well with the available results in the literature. Further, the inclination angle has a strong influence on the velocity and the temperature fields. © 2017 Published under licence by IOP Publishing Ltd.

Fulltext

IOP Conference Series: Materials Science and Engineering

Peristaltic flow and heat transfer of a Herschel-Bulkley fluid in an inclined non-uniform channel with wall properties

The purpose of this study is to analyze the influence of wall flexibility and cross diffusion on the peristaltic transport of a MHD dissipative fluid in uniform channel in the presence of Joule heating. Dual solutions are obtained for aligned and transverse magnetic field cases. The exact solution is obtained for stream function and velocity. Further, shooting process is employed to solve the energy and concentration equations. The influence of main parameters on the present flow is explained graphically. The increase in magnetic field decreases the velocity of the fluid. Also Dufour and Soret numbers enhances the temperature while they reduses the concentration field. © 2017 Published under licence by IOP Publishing Ltd.

Dual solutions of cross diffusion effects on MHD Peristaltic flow in a conduit

The slip and heat transfer effects on MHD peristaltic transport of a nanofluid in a non-uniform symmetric/asymmetric channel have studied under the assumptions of elongated wave length and negligible Reynolds number. From the simplified governing equations, the closed form solutions for velocity, stream function, temperature and concentrations are obtained. Also dual solutions are discussed for symmetric and asymmetric channel cases. The effects of important physical parameters are explained graphically. The slip parameter decreases the fluid velocity in middle of the channel whereas it increases the velocity at the channel walls. Temperature and concentration are decreasing and increasing functions of radiation parameter respectively. Moreover, velocity, temperature and concentrations are high in symmetric channel when compared with asymmetric channel. © 2017 Published under licence by IOP Publishing Ltd.

Brownian motion and thermophoresis effects on Peristaltic slip flow of a MHD nanofluid in a symmetric/asymmetric channel

Journal of Molecular Liquids

Thermophoresis and Brownian moment effects on parabolic flow of MHD Casson and Williamson fluids with cross diffusion

Advanced Powder Technology

Effect of aligned magnetic field on liquid thin film flow of magnetic-nanofluids embedded with graphene nanoparticles

Results in Physics

Computational analysis of magnetohydrodynamic Casson and Maxwell flows over a stretching sheet with cross diffusion

Objective: In the present paper the influence of heat transfer, wall slip conditions, and wall properties on the peristaltic transport of an incompressible conducting Bingham fluid in a non-uniform porous channel is studied. Methods/Statistical Analysis: Exact analytical solutions have been obtained for the axial velocity and the temperature by using the assumptions of long wavelength and low-Reynolds number. Findings: The effects of the essential parameters on the velocity and temperature distributions are demonstrated through graphs. It is noticed that the presence of porous medium reduces the velocity and temperature in the peristaltic channel. Further, the size of the trapped bolus gets reduced due to the presence of porous medium/magnetic field whereas opposite behaviour is noticed with the increasing slip at the walls. Application/Improvements: The results reveal that the presence of magnetic field/porous medium has remarkable effect on the peristaltic transport of yield stress fluids (such as blood) which may lead to possible technological applications in designing bio- medical instruments.

Indian Journal of Science and Technology

The Effect of Wall Properties on the Convective Peristaltic Transport of a Conducting Bingham Fluid through Porous Medium

Communications in Nonlinear Science and Numerical Simulation

Mixed convective heat and mass transfer in an asymmetric channel with peristalsis

Joule heating and wall flexibility effects on the peristaltic flow of magnetohydrodynamic nanofluid

Journal	Data powered by TypesetInternational Journal of Mechanical Sciences
Publisher	Data powered by TypesetElsevier BV
ISSN	0020-7403
Open Access	0