Convective heat transfer for Peristaltic flow of SWCNT inside a sinusoidal elliptic duct

Author:

Akhtar Salman1,McCash Luthais B2,Nadeem Sohail1ORCID,Saleem Salman3,Issakhov Alibek4ORCID

Affiliation:

1. Department of Mathematics, Quaid-i-Azam University, Islamabad, IS, Pakistan

2. School of Mathematics & Actuarial Science, Univerisity of Leicester, Leicester, Leicestershire, UK

3. Department of Mathematics, College of Science, King Khalid University, Abha, Asir, Saudi Arabia

4. Al-Farabi Kazakh National University, Faculty of mechanics and mathematics, Almaty, Kazakhstan

Abstract

A mathematical model is presented to analyse the flow characteristics and heat transfer aspects of a heated Newtonian viscous fluid with single wall carbon nanotubes inside a vertical duct having elliptic cross section and sinusoidally fluctuating walls. Exact mathematical computations are performed to get temperature, velocity and pressure gradient expressions. A polynomial solution technique is utilized to obtain these mathematical solutions. Finally, these computational results are presented graphically and different characteristics of peristaltic flow phenomenon are examined in detail through these graphs. The velocity declines as the volume fraction of carbon nanotubes increases in the base fluid. Since the velocity of fluid is dependent on its temperature in this study case and temperature decreases with increasing volumetric fraction of carbon nanotubes. Thus velocity also declines for increasing volumetric fraction of nanoparticles.

Publisher

SAGE Publications

Subject

Multidisciplinary

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