Open Access

ARTICLE

An Unsteady Oscillatory Flow of Generalized Casson Fluid with Heat and Mass Transfer: A Comparative Fractional Model

Anis ur Rehman¹, Farhad Ali¹, Aamina Aamina^2,3,*, Anees Imitaz¹, Ilyas Khan⁴, Kottakkaran Sooppy Nisar⁵

1 Department of Mathematics, City University of Science and Information Technology, Peshawar, 25000, Pakistan
2 Computational Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3 Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
4 Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia
5 Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser, 11991, Al Kharj, Saudi Arabia

* Corresponding Author: Aamina Aamina. Email:

Computers, Materials & Continua 2021, 66(2), 1445-1459. https://doi.org/10.32604/cmc.2020.012457

Received 01 July 2020; Accepted 10 September 2020; Issue published 26 November 2020

Abstract

It is of high interest to study laminar flow with mass and heat transfer phenomena that occur in a viscoelastic fluid taken over a vertical plate due to its importance in many technological processes and its increased industrial applications. Because of its wide range of applications, this study aims at evaluating the solutions corresponding to Casson fluids’ oscillating flow using fractional-derivatives. As it has a combined mass-heat transfer effect, we considered the fluid flow upon an oscillatory infinite vertical-plate. Furthermore, we used two new fractional approaches of fractional derivatives, named AB (Atangana–Baleanu) and CF (Caputo–Fabrizio), on dimensionless governing equations and then we compared their results. The Laplace transformation technique is used to get the most accurate solutions of oscillating motion of any generalized Casson fluid because of the Cosine oscillation passed over the infinite vertical-plate. We obtained and analyzed the distribution of concentration, expressions for the velocity-field and the temperature graphically, using various parameters of interest. We also analyzed the Nusselt number and the skin friction due to their important engineering usage.

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