Eur. Phys. J. Plus (2020) 135: 145
https://doi.org/10.1140/epjp/s13360-020-00185-2

Regular Article

On extended version of Yamada–Ota and Xue models of hybrid nanofluid on moving needle

¹ Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan
² Department of Mathematics, College of Sciences, King Khalid University, PO Box 9004, Abha, 61413, Saudi Arabia
³ Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
⁴ Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
⁵ Department of Mechanical and Industrial Engineering, College of Engineering, Majmaah University, Al-Majmaah, Riyadh, 11952, Saudi Arabia

^* e-mail: sohail.nadeem@tdtu.edu.vn

Received: 10 May 2019
Accepted: 25 October 2019
Published online: 28 January 2020

Abstract

This study deals with the extended version of Yamada–Ota and Xue models of hybrid nanofluid on the moving needle surface. Here, we have examined the hybrid nanofluid flow of magnetic hydrodynamics and thermal slip over a thin moving needle. We also take the assumption of the variable thermal conductivity and viscosity of hybrid nanomaterial fluid. Two kinds of nanoparticles, namely and , with pure water as base fluid are considered. A mathematical model has been developed under the assumption of hybrid nanofluid flow over the moving needle surface. The system of governing partial differential equations is converted into a system of nondimensional ordinary differential equations by applying the suitable similarity transformation. Dimensionless system is elucidated numerically by software built in technique bvp4c. The effects of the governing parameters are emphasized by graphs and tables.