Magnetized mixed convection hybrid nanofluid with effect of heat generation/absorption and velocity slip condition

Adnan Asghar; Abdul Fattah Chandio; Zahir Shah; Narcisa Vrinceanu; Wejdan Deebani; Meshal Shutaywi; Liaquat Ali Lund

doi:10.1016/j.heliyon.2023.e13189

Magnetized mixed convection hybrid nanofluid with effect of heat generation/absorption and velocity slip condition

Heliyon. 2023 Jan 28;9(2):e13189. doi: 10.1016/j.heliyon.2023.e13189. eCollection 2023 Feb.

Authors

Adnan Asghar¹, Abdul Fattah Chandio², Zahir Shah³, Narcisa Vrinceanu⁴, Wejdan Deebani⁵, Meshal Shutaywi⁵, Liaquat Ali Lund⁶

Affiliations

¹ School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, Malaysia.
² Department of Electronic Engineering, Quaid-E-Awam University of Engineering, Science & Technology Nawabshah, Sindh, Pakistan.
³ Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa Pakistan.
⁴ Faculty of Engineering, Department of Industrial Machines and Equipments, "Lucian Blaga" University of Sibiu, 10 Victoriei Boulevard, 5500204, Romania.
⁵ Department of Mathematics, College of Science & Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia.
⁶ KCAET Khairpur Mirs, Sindh Agriculture University, Tandojam Sindh 70060, Pakistan.

Abstract

Through a vertically shrinking sheet, a two-dimensional magnetic nanofluid is numerically analyzed for convection, heat generation and absorption, and the slip velocity effect. In this research, Al₂O₃-Cu/water composite nanofluid is studied, where water is deemed the base liquid and copper (Cu) and alumina (Al₂O₃) are the solid nanoparticles. Modern composite nanofluids improve heat transfer efficiency. Using the Tiwari-Das model, the current study examines the effects of the solid volume fraction of copper, heat generation/absorption, MHD, mixed convection, and velocity slip parameters on velocity and temperature distributions. Introducing exponential similarity variables converts nonlinear partial differential equations (PDEs) to ordinary differential equations (ODEs). MATLAB bvp4c solver is used to solve ODEs. Results showed dual solutions for suction with 0%-10% copper nanoparticles and 1%-500% heat generation/absorption. As copper (Cu) solid volume percentage increases from 0% to 10%, reduced skin friction $f^{″} (0)$ boosts in the first solution but falls in the second. When Cu is added to both solutions, heat transport $- θ^{'} (0)$ decreases. As heat generation/absorption increases 1%-500%, $- θ^{'} (0)$ decreases in both solutions. In conclusion, solution dichotomy exists when suction parameter $S \geq S_{c i}$ in assisting flow case, while no fluid flow is possible when $S < S_{c i}$ .

Keywords: Exponentially shrinking surface; Heat generation/absorption; Hybrid nanofluid; MHD; Mixed convection; Velocity slip condition.