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ARTICLE

Temporal Stability Analysis of Magnetized Hybrid Nanofluid Propagating through an Unsteady Shrinking Sheet: Partial Slip Conditions

Liaquat Ali Lund^1,2, Zurni Omar¹, Sumera Dero^1,3, Yuming Chu^4,5, Ilyas Khan^6,*, Kottakkaran Sooppy Nisar⁷

1 School of Quantitative Sciences, Universiti Utara Malaysia, 06010, Sintok, Kedah, Malaysia
2 KCAET Khairpur Mir’s, Sindh Agriculture University, Tandojam Sindh, 70060, Pakistan
3 IICT, University of Sindh, Jamshoro, 76080, Pakistan
4 Department of Mathematics, Huzhou University, Huzhou, 313000, China
5 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha, 410114, China
6 Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
7 Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, Saudi Arabia

* Corresponding Author: Ilyas Khan. Email:

Computers, Materials & Continua 2021, 66(2), 1963-1975. https://doi.org/10.32604/cmc.2020.011976

Received 08 June 2020; Accepted 10 July 2020; Issue published 26 November 2020

Abstract

The unsteady magnetohydrodynamic (MHD) flow on a horizontal preamble surface with hybrid nanoparticles in the presence of the first order velocity and thermal slip conditions are investigated. Alumina (Al₂O₃) and copper (Cu) are considered as hybrid nanoparticles that have been dispersed in water in order to make hybrid nanofluid (Cu − Al₂O₃/water). The system of similarity equations is derived from the system of partial differential equations (PDEs) by using variables of similarity, and their solutions are gotten with shooting method in the Maple software. In certain ranges of unsteadiness and magnetic parameters, the presence of dual solutions can be found. Further, it is examined that layer separation is deferred due to the effect of the hybrid nanoparticles. Moreover, the capacity of the thermal enhancement of Cu − Al₂O₃/water hybrid nanofluid is higher as compared to Al₂O₃/water based nanofluid and enhancements in φ_Cu are caused to rise the fluid temperature in both solutions. In the last, solutions stability analyzes were also carried out and the first solution was found to be stable.

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