MHD stagnation point flow on a shrinking surface with hybrid nanoparticles and melting phenomenon effects. Issue 5 (5th August 2021)

• Record Type: Journal Article
• Authors: Pop, Ioan; Waini, Iskandar; Ishak, Anuar
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 32:Issue 5(2022)
• Page Start: 1728
• Page End: 1741
• Publication Date: 2021-08-05
• Subjects: Melting -- MHD -- Dual solutions -- Hybrid nanofluid -- Stagnation point -- Shrinking surface; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-06-2021-0378
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: This study aims to explore the stagnation flow over a shrinking surface in a hybrid nanofluid consists of Al2 O3 and Cu nanoparticles. Here, the flow is subjected to the magnetohydrodynamic (MHD) and the melting phenomenon effects. Design/methodology/approach: The similarity variables are used to gain the similarity equations. These equations are solved via the bvp4c solver. The effects of several physical parameters on the flow and the thermal characteristics of the hybrid nanofluid are analysed and discussed. Later, the temporal stability analysis is used to determine the stability of the dual solutions obtained as time evolves. Findings: Results show that two solutions are found for the limited range of the stretching/shrinking parameter λ, and then these solutions are terminated at λ = λ c . The rise of the melting parameter M e from 0 to 2 contributes to enhance 109.63% of the local Nusselt number Re x - 1 / 2 N u x and 3.30% of the skin friction coefficient Re x 1 / 2 C f . Contrarily, the values of Re x - 1 / 2 N u x and Re x 1 / 2 C f decline by 25.04% and 5.58%, respectively, as the magnetic parameter M g increases from 0 to 0.3. Additionally, Al2 O3 -Cu/water has the highest values of R e x 1 / 2 C f and the lowest values of R e x - 1 / 2 N u x . Lastly, it is found that the first solution is physically stable as time evolves. Originality/value: This paper considers the MHD stagnation point flow of a hybrid nanofluid over a shrinking surface with the melting phenomenon effects. Most importantly, it is shown that there exist dual solutions within a specific range of the physical parameters. Besides, the temporal stability of the solutions is also reported in this study. The finding can contribute to foresee the flow and thermal behaviours in industrial applications. Also, the suitable values of parameters can be determined to avoid misjudgement in flow and heat transfer analysis.