Unsteady Casson nanofluid squeezing flow between two parallel plates embedded in a porous medium under the influence of magnetic field

Abstract

This paper investigates the squeezing flow of an electrically conducting magnetohydrodynamic Casson nanofluid between two parallel plates embedded in a porous medium using differential transformation and variation of parameter methods. The accuracies of the approximate analytical methods for the small and large values of squeezing and separation numbers are investigated and established. Good agreements are established between the results of the approximate analytical methods are compared with the results numerical method using fourth-fifth order Runge-KuttaFehlberg method. However, the results of variation of parameter methods show better agreement with the results of numerical method than the results of differential transformation method. Thereafter, the developed approximate analytical solutions are used to investigate the effects of pertinent flow parameters on the squeezing phenomena of the nanofluids between the two moving parallel plates. The results established that the squeezing number and magnetic field parameters decrease as the flow velocity increases when the plates were coming together. Also, the velocity of the nanofluids further decreases as the magnetic field parameter increases when the plates move apart. However, the velocity is found to be directly proportional to the nanoparticle concentration during the squeezing flow i.e. when the plates are coming together and an inverse variation between the velocity and nanoparticle concentration is recorded when the plates are moving apart. As increased physical insights into the flow phenomena are provided, it is hope that this study will enhance the understanding the phenomena of squeezing flow in various applications such as power transmission, polymer processing and hydraulic lifts.

Casson Fluid of a Stagnation-Point Flow (Spf) Towards a Vertical Shrinking/Stretching Sheet

“…looked at MHD stagnation-point flow of a Casson fluid over a nonlinearly stretching sheet with viscous dissipation. includes; Musatafa et al, 2011;Bhattacharyya and Vajravelu, 2012;Shehzad et al 2013;Nandy, 2013;Bhattacharyya et al, 2013;Bhattacharyya, 2013a;Bhattacharyya, 2013b;Mukhopadhyay et al, 2013;Mutuku and Makinde, 2013;Pramanik, 2014;Mutuku, 2014;Shateyi and Marewo, 2014;Hussain et al, 2015;Saidulu and Lakshmi, 2016;Mutuku, 2016;Ouru, et al, 2016;Mabood et al, 2017;Seth et al, 2017;Mutuku and Makinde, 2017;El-Aziz and Yahya, 2017;Sheikh and Abbas, 2017;Singh et al, 2018;Gangadhar et al, 2018 andSobamowo et al, 2019. Despite the numerous applications of non-Newtonian fluids in industrial and engineering processes, deficiency from the above literatures in hydromagnetic Casson fluid flow has raised a strong motivation towards understanding its behaviour in several transport processes hence, this study. This study therefore extends the work of by incorporating buoyancy force and considering a convective boundary layer in the numerical analysis of the hydromagnetic stagnation-point flow of a steady, incompressible Casson fluid towards a shrinking/stretching sheet.…”

Intelligent computing technique based supervised learning for squeezing flow model

“…Çelik et al 3 investigated the influence of heat transfer and velocity on squeezing flow by the Gegenbauer Wavelet Collocation Method. Sobamowo et al 4 used both methods of differential transformation and variation of parameters to study the effect of a magnetic field on Casson nanofluid’s squeezing flow through a porous medium. Çelik 5 studied the effect of viscosity on squeezing flow in a magnetic field for a specific type of fluid known as Copper-water and Copper-kerosene.…”

Intelligent Computing Technique Based Supervised Learning for Squeezing Flow Model

“…et al [3] investigated the influence of heat transfer and velocity on squeezing flow by the Gegenbauer Wavelet Collocation Method. Sobamowo et al [4] used both methods of differential transformation and variation of parameters to study the effect of a magnetic field on Casson nanofluid's squeezing flow through a porous medium. Çelik,İbrahim.…”