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Unsteady squeezing second order of nanofluid flow through an infinite channel

Taimoor Salahuddin (Department of Mathematics, Mirpur University of Science and Technology, Mirpur, Pakistan)
Ali Haider (Department of Mathematics, Mirpur University of Science and Technology, Mirpur, Pakistan)
Metib Alghamdi (Department of Mathematics, Faculty of Science, King Khalid University, Abha, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 13 September 2021

Issue publication date: 1 November 2021

46

Abstract

Purpose

The current investigation is communicated to analyze the characteristics of squeezed second grade nanofluid flow enclosed by infinite channel in the existence of both heat generation and variable viscosity. The leading non-linear energy and momentum PDEs are converted into non-linear ODEs by using suitable analogous approach.

Design/methodology/approach

Then the acquired non-linear problem is numerically calculated by using Bvp4c (built in) technique in MATLAB.

Findings

The influence of certain appropriate physical parameters, namely, squeezed number, fluid parameter, Brownian motion, heat generation, thermophoresis parameter, Prandtl number, Schmidt number and variable viscosity parameter on temperature, velocity and concentration distributions are studied and deliberated in detail. Numerical calculations of Sherwood number, Nusselt number and skin friction for distinct estimations of appearing parameters are analyzed through graphs and tables. It is examined that for large values of squeezing parameter, the velocity profile increases, whereas opposite behavior is noticed for large values of variable viscosity and fluid parameter. Moreover, temperature profile increases for large values of Brownian motion, thermophoresis parameter and squeezed parameter and decreases by increases Prandtl number and heat generation. Moreover, concentration profile increases for large values of Brownian motion parameter and decreases by increases thermophoresis parameter, squeezed parameter and Schmidt number.

Originality/value

No one has ever taken infinite squeezed channel having second grade fluid model with variable viscosity and heat generation.

Keywords

Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Research Groups Program under grant number (R.G.P2./19/40).

Citation

Salahuddin, T., Haider, A. and Alghamdi, M. (2021), "Unsteady squeezing second order of nanofluid flow through an infinite channel", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 11, pp. 3261-3278. https://doi.org/10.1108/HFF-03-2019-0197

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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