Eur. Phys. J. Spec. Top. (2022) 231: 521-533
https://doi.org/10.1140/epjs/s11734-021-00409-1

Regular Article

Hybrid nanofluid flow towards an elastic surface with tantalum and nickel nanoparticles, under the influence of an induced magnetic field

¹ College of Mathematics and Systems Science, Shandong University of Science and Technology, 266590, Qingdao, Shandong, China
² International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho, South Africa
³ Department of Engineering, TCU, 76132, Fort Worth, TX, USA
⁴ Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036, Brasov, Romania
⁵ Department of Mathematics and Statistics, International Islamic University, 44000, Islamabad, Pakistan
⁶ Fulbright Fellow Department of Mechanical Engineering, University of California Riverside, Riverside, USA
⁷ Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia

^b mubashirme@hotmail.com, mmbhatti@sdust.edu.cn

Received: 5 July 2021
Accepted: 16 December 2021
Published online: 27 December 2021

Abstract

The nanofluid, composed of kerosene and tantalum and nickel nanoparticles, is propagating through a porous, elastic surface. The kerosene base fluid is incompressible and electrically conducting. The energy equation for this nanofluid is formulated taking into account the viscous dissipation. The mathematical modeling is performed with the help of a similarity transformation. The developed governing equations are numerically solved using the shooting technique and the Matlab software. The physical behavior of different parameters in the model is discussed through tabular and graphical forms. The present results are also compared to past results. The results indicate that the flow propagates faster for higher values of Darcy number and Tantalum nanoparticles and that the magnetic field opposes the fluid motion. Also that the thermal boundary layer decreases in the presence of Tantalum and Nickel nanoparticles.