Slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over shrinking/stretching surface

Author:

Asghar Adnan1,Dero Sumera2,Lund Liaquat Ali3,Shah Zahir4,Alshehri Mansoor H.5,Vrinceanu Narcisa6

Affiliation:

1. School of Quantitative Sciences, UUM College of Arts & Sciences, Universiti Utara Malaysia, UUM Sintok , Kedah Darul Aman , Sintok , Malaysia

2. Institute of Mathematics and Computer Science, University of Sindh , Jamshoro Sindh , 76080 , Pakistan

3. KCAET Khairpur Mir’s, Sindh Agriculture University , Tandojam Sindh , 70060 , Pakistan

4. Department of Mathematical Sciences, University of Lakki Marwat , Lakki Marwat , 28420 , Khyber Pakhtunkhwa , Pakistan

5. Department of Mathematics, College of Science, King Saud University , P.O. Box 2455 , Riyadh , 11451 , Saudi Arabia

6. Faculty of Engineering, Department of Industrial Machines and Equipments, “Lucian Blaga” University of Sibiu , 10 Victoriei Boulevard , Sibiu , Romania

Abstract

Abstract The significance of the study comes in the fact that it investigates complex fluid dynamics and magnetohydrodynamics phenomena, which have the potential to be applied in a variety of domains, such as physics, engineering, and materials science. Their exceptional physical significance stems from their ability to combine the unique properties of multiple substances to provide the desired functions and performance characteristics. However, in this study, the numerical studies of slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over stretching/shrinking surface were investigated. The main objective of current research is to examine the influence of solid volume percentage of cobalt ferrite, the sharply oriented magnetic field, and velocity slip factors on the behaviour of skin friction and heat transfer subjected to suction effect. Moreover, the study included an analysis of the behaviour of velocity and temperature profiles in relation to the consideration of the magnetic parameter, the solid volume percentage of cobalt ferrite, the Prandtl number, and the thermal radiation parameter. The equations that regulate the system were converted partial differential equations into ordinary differential equations by making use of the relevant similarity variables, and then, it solved with bvp4c MATLAB software. The boundary requirements are satisfied in particular parameter ranges where dual solutions are achieved. Besides, dual solutions were obtained in shrinking zone. At critical points, the two dual solutions intersect; however, after these points, no further solutions are accessible. The heat transfer rate decreased the velocity slip factor, while it increased the thermal slip factor. In addition, the thickness of the thermal boundary layer increased thermal radiation, while simultaneously reducing the Prandtl number. Besides, the temperature profile improves when the value of cobalt ferrite is higher. In summary, according to stability analysis, he first solution is stable and the second solution is unstable.

Publisher

Walter de Gruyter GmbH

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