Hydromagnetic peristaltic transport of copper–water nanofluid with temperature-dependent effective viscosity--颗粒学报PARTICUOLOGY

Abbasi, F. M., Hayat, T., Shehzad, S. A., Alsaadi, F., & Altoaibi, N. (2016). Hydromagnetic peristaltic transport of copper–water nanofluid with temperature-dependent effective viscosity. Particuology, 27, 133-140. https://doi.org/10.1016/j.partic.2015.09.015

Hydromagnetic peristaltic transport of copper–water nanofluid with temperature-dependent effective viscosity

Fahad M. Abbasi ^a, Tasawar Hayat ^{b c}, Sabir A. Shehzad ^d *, Fuad Alsaadi ^c, Naif Altoaibi ^c

a Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan
b Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
c Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
d Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan

10.1016/j.partic.2015.09.015

Volume 27, August 2016, Pages 133-140

Received 13 June 2015, Revised 7 September 2015, Accepted 13 September 2015, Available online 8 April 2016, Version of Record 14 June 2016.

E-mail: ali_qau70@yahoo.com

Highlights

• Peristalsis of copper–water nanofluids under the influence of a magnetic field was studied.

• The analysis was performed using a model for temperature dependent effective viscosity of nanofluid.

• Velocity and thermal slip effects were incorporated into the nanofluid peristaltic flow model.

• An empirical relation for temperature dependent effective viscosity of nanofluids was proposed.

• Simulations to the nonlinear equations were presented for different quantities of interest.

Abstract

The unique chemical, mechanical, and thermodynamic properties of nanofluids make them a subject of great interest for scientists from all domains. Such fluids are of particular significance in biomedical engineering owing to their vast and novel applications in modern drug delivery systems; for example, mixed convective peristaltic flow of water-based nanofluids under the influence of an externally applied magnetic field is of particular significance. Hence, a lot of research has focused on peristalsis in the presence of velocity and thermal slip effects. An empirical relation for the effective viscosity of the nanofluid is proposed here for the first time. The viscosity of the nanofluid varies with temperature and nanoparticle volume fraction. Numerical simulation of the resulting nonlinear system of equations is presented for different quantities of interest. The results indicate that the maximum velocity and temperature of the copper–water nanofluid increase for larger variable viscosity parameter. The pressure gradient in the wider part of the channel is also found to increase as a function of the variable viscosity parameter. The variable viscosity parameter also influences the size of the trapped bolus. An increase in the nanoparticle volume fraction reduces the reflux phenomenon in a peristaltic flow.

Graphical abstract

Keywords

Temperature dependent effective viscosity; Copper–water nanofluid; Peristalsis; Slip effect; Magnetohydrodynamics

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