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ISSN Print: 1091-028X
ISSN Online: 1934-0508

# Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i5.70
pages 461-478

## STUDY OF PERISTALTIC FLOW OF NANOFLUID WITH ENTROPY GENERATION IN A POROUS MEDIUM

Rahmat Ellahi
Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia; Department of Mathematics & Statistics, Faculty of Applied Sciences, IIUI, Pakistan
M. Raza
Northern University Wattar Walai Ziarat, Kaka Sahib Road Nowshera, KPK Pakistan
Noreen Sher Akbar
DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan

### ABSTRACT

An analysis is carried out to study the peristaltic flow of nanofluid in a vertical asymmetric channel. The considered mathematical model consists of continuity and momentum equations, while a new model is proposed for the nanoparticle concentration. In particular, we focus on Ag−water and Cu−water nanofluids. The effects of entropy generation along with the porous medium are also taken into account. The significant effects of a thermal conductivity model of Brownian motion for nanofluids comprising the effects of particle size, particle volume fraction, and temperature dependence are included. The governing equations are first modeled and then solved analytically. Numerical integration is used to analyze the novel features of volumetric flow rate and porosity parameter. The obtained expressions for pressure gradient, temperature, and velocity profile are described through graphs for various pertinent parameters. The streamlines are also drawn for some physical quantities to discuss the trapping phenomenon.

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