Dual solutions of magnetized radiative flow of Casson Nanofluid over a stretching/shrinking cylinder: Stability analysis

Azhar Mustafa Soomro; Mustafa Abbas Fadhel; Liaquat Ali Lund; Zahir Shah; Mansoor H Alshehri; Narcisa Vrinceanu

doi:10.1016/j.heliyon.2024.e29696

Dual solutions of magnetized radiative flow of Casson Nanofluid over a stretching/shrinking cylinder: Stability analysis

Heliyon. 2024 Apr 15;10(8):e29696. doi: 10.1016/j.heliyon.2024.e29696. eCollection 2024 Apr 30.

Authors

Azhar Mustafa Soomro¹, Mustafa Abbas Fadhel², Liaquat Ali Lund¹, Zahir Shah³, Mansoor H Alshehri⁴, Narcisa Vrinceanu⁵

Affiliations

¹ KCAET Khairpur Mir's, Sindh Agriculture University, Tandojam, Sindh, 70060, Pakistan.
² Mathematics Department, College of Education for Pure Sciences, University of Al-Muthanna, Samawa, 66001, Iraq.
³ Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, 28420, Khyber Pakhtunkhwa, Pakistan.
⁴ Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia.
⁵ Faculty of Engineering, Department of Industrial Machines and Equipments, "Lucian Blaga" University of Sibiu, 10 Victoriei Boulevard, Romania.

Abstract

The enhanced thermal efficiency exhibited by Casson nanofluids offers significant practical applications across various industrial and engineering sectors. This study focuses on the mathematical investigation of the steady magnetohydrodynamic (MHD) boundary layer flow of Casson nanofluid through a stretched/shrinking cylinder, taking into account the effects of suction and thermal radiation. The governing partial differential equations (PDEs) have been subjected to a similarity transformation, resulting in a set of nonlinear ordinary differential equations (ODEs). These ODEs were solved numerically utilizing the code of bvp4c in the software of Matlab which offers high accuracy (4th order). The employed nanofluid model incorporates the effects of Brownian motion and thermophoresis. The present study illustrates the graphical depictions of the impacts of different governing parameters, namely Hartmann ( $M$ ) number, curvature ( $γ$ ) parameter, Brownian motion ( $N_{b}$ ) parameter, mass suction ( $S$ ) parameter, thermal radiation ( $R d$ ) parameter, and thermophoresis ( $N_{t}$ ) parameter, on heat transfer, flow, and mass transfer characteristics. Comprehensive determination and visual presentation of the coefficient of skin friction, local Nusselt number, and local Sherwood number were conducted for a range of estimates of applied parameters. Based on our examination, it has been determined that dual similarity solutions are present within a specific range of mass suction parameters. The relationship between the Casson parameter and various fluid dynamic properties, such as skin friction coefficient, heat transfer rate, and mass transfer rates, has been found to exhibit a decreasing trend. Furthermore, the stability analysis discovered that the first solution exhibits linear stability, whereas the second solution displays linear instability. Additionally, the motivation behind this study is to enhance industrial performance through the optimization of thermal power generation systems, thereby increasing their overall efficiency.

Keywords: Casson nanofluid; Dual solutions; MHD; Stability analysis; Thermal radiation.