Combined effects of variable thermal conductivity and electrical conductivity on peristaltic flow of pseudo-plastic nanofluid in an inclined non-uniform asymmetric channel: Applications to Solar Collectors

[+] Author and Article Information
Wahed Hasona

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt. Zagazig, 44519 Egypt wahedhasona@yahoo.com

Nawal H. Almalki

Dammam, Saudi Arabia Dammam, 11564 Saudi Arabia nhalmalki@iau.edu.sa

Abdelhafeez Elshekhipy

Dammam, Saudi Arabia Dammam, 11564 Saudi Arabia aaelshekhipy@iau.edu.sa

Mohamed Gamal Ibrahim

Department of Mathematics, Faculty of Science, Al Azhar University, Cairo, Egypt Cairo, Egypt 44166 Egypt dr_mohamedgamal_1@yahoo.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Thermal Science and Engineering Applications. Manuscript received December 4, 2018; final manuscript received July 8, 2019; published online xx xx, xxxx. Assoc. Editor: Dr. Ali J. Chamkha.

ASME doi:10.1115/1.4044404 History: Received December 04, 2018; Accepted July 10, 2019


As the conduction, convection and radiation are the fundamental modes of heat emitter and transfer, therefore, this paper looks at the influences of temperature-dependent thermal conductivity and thermal radiation on peristaltic flow of Pseudo-plastic Nanofluids in an inclined non-uniform asymmetric channel. Inclined magnetic field is taken in consideration. As the Wiedemann–Franz law in metals, electrical conductivity has identical behavior of thermal conductivity, as freely animated evenness electrons transfer not only electric current but also heat energy. Consequently, electrical conductivity should be depending on the temperature of nanoparticles. The related equations of momentum, mass and concentration are reformulated using lubrication approximations (i.e. tiny or zero Reynolds number and long wavelength). The resulting system of non-linear equations is solved semi-numerically with the aid of Parametric ND solve package using Mathematica version 11. Results for velocity, temperature and concentration distributions are obtained in the analytical three-dimensional forms. The streamlines graphs are offered in the terminus, which elucidate the trapping bolus phenomenon. As a special case, a comparison is made and signified with the recent published results by Hayat et al [41]. It is found that, diminishes in thermal conductivity and electrical conductivity causes to an increase in temperature of nanofluid and the rate of heat transfer rate induces, so better absorption of solar energy is gained.

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