Darcy-Forchheimer mangetized flow based on differential type nanoliquid capturing Ohmic dissipation effects

M. Waqas ^a,b, Yunjie Xu ^c,*, M. Nasir ^d,*, Md Mottahir Alam ^e, Amjad Ali Pasha ^f, Kashif Irshad ^g, Bandar M. Fadhl ^h, M.S. Kausar ^b

a. NUTECH School of Applied Science and Humanities, National University of Technology, Islamabad 44000, Pakistan
         b. Department of Mechanical Engineeing, Lebanese American University, Beirut, Lebanon
         c. School of Engineering, Huzhou University, Huzhou 313000, China
         d. Faculty of Informatics and Computing, University Sultan Zainal Abidin, Besut Campus, 22200 Besut, Tereng-ganu, Malaysia
         e. Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
         f. Aerospace Engineering Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia
         g. Interdisciplinary Research Centre for Renewable Energy and Power System (IRC-REPS), Research Institute, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran 31261, Saudi Arabia
         h. Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah 21955, Saudi Arabia  Email: bmfadhl@uqu.edu.sa

Abstract: Hydromagnetic nanoliquid establish an extraordinary category of nanoliquids that unveil both liquid and magnetic attributes. The interest in the utilization of hydromagnetic nanoliquids as a heat transporting medium stem from a likelihood of regulating its flow along with heat transportation process subjected to an externally imposed magnetic field. This analysis reports the hydromagnetic nanoliquid impact on differential type (second-grade) liquid from a convectively heated extending surface. The well-known Darcy-Forchheimer aspect capturing porosity characteristics is introduced for nonlinear analysis. Robin conditions elaborating heat-mass transportation effect are considered. In addition, Ohmic dissipation and suction/injection aspects are also a part of this research. Mathematical analysis is done by implementing the basic relations of fluid mechanics. The modeled physical problem is simplified through order analysis. The resulting systems (partial differential expressions) are rendered to the ordinary ones by utilizing the apposite variables. Convergent solutions are constructed employing homotopy algorithm. Pictorial and numeric result are addressed comprehensively to elaborate the nature of sundry parameters against physical quantities. The velocity profile is suppressed with increasing Hartmann number (magnetic parameter) whereas it is enhanced with increment in material parameter (second-grade). With the elevation in thermophoresis parameter, temperature and concentration of nanoparticles are accelerated.

Keywords: Darcy-Forchheimer magnetized flow; Differential type nanoliquid; Ohimc dissipation; Robin conditions; Homotopy algorithm

https://doi.org/10.1016/j.jppr.2023.08.003