Eur. Phys. J. Plus (2022) 137: 297
https://doi.org/10.1140/epjp/s13360-022-02359-6

Regular Article

Nonlinear thermal radiation and heat source effects on unsteady electrical MHD motion of nanofluid past a stretching surface with binary chemical reaction

¹ Department of Mechanical Engineering, National Institute of Technology Arunachal Pradesh, 791113, Jote, India
² Department of Mathematics, JECRC University, 303905, Jaipur, Rajasthan, India
³ Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines) Dhanbad, 826006, Dhanbad, Jharkhand, India
⁴ Faculty of Mechanical and Industrial Engineering, Quchan University of Technology, 94771-67335, Quchan, Iran
⁵ Department of Mathematics, S ‘O’ A Deemed to be University, Khandagiri, 751030, Bhubaneswar, Odisha, India

^a rpsharma@nitap.ac.in
^c im.rashidi@qiet.ac.ir

Received: 21 October 2021
Accepted: 6 January 2022
Published online: 2 March 2022

Abstract

An analysis is carried out for the free convection of two-dimensional time-dependent electrically conducting nanofluid past a linearly permeable expanding surface. Additionally, the impact of external heat source, nonlinear thermal radiation, and the dissipative heat energy associated with Joule heating is considered in the current flow phenomena. As a novelty, the behavior of binary chemical reactions enhances the study as well. The relevant governing equations are transformed to ODEs with the suitable choice of similarity transformations and these set of equations are handled by the shooting-based Runge–Kutta fourth-order method. From this analysis, it has been established that the effect of suction and magnetic field slows down the movement of the fluids, but due to the higher electric field strength, it enhances the outcome of the strength of the magnetic field and the electric field tends to increases the viscosity. Furthermore, it has been determined that the increase in radiative heat and heat source leads to the development of nanofluid temperature, and the Nusselt number enhances with the enhancement of the thermal radiation parameter.