Eur. Phys. J. Plus (2022) 137: 29
https://doi.org/10.1140/epjp/s13360-021-02259-1

Regular Article

Effect of thermal conductivity on Blasius–Rayleigh–Stokes flow and heat transfer over a moving plate by considering magnetic dipole moment

¹ Department of Mathematics, Acharya Nagarjuna University Campus, Ongole, A.P., India
² Department of Mathematics, P.B. Siddhartha College of Arts and Science, Vijayawada, A.P., India
³ Department of Mathematics, Ramahia Institute of Technology, (Affiliated To VTU), Bangalore, Karnataka, India

^d ganikganesh@gmail.com

Received: 23 July 2021
Accepted: 3 December 2021
Published online: 16 December 2021

Abstract

The main objective of this manuscript is to glance into the assets of magnetic dipole over a Blasius–Rayleigh–Stokes flow. In order to asses, the variable thermal conductivity is also experienced in the temperature computations. By minimizing the quantity of independent factors, the regulating equations are transmuted into non-dimensional types that are then tackled numerically using the RK-4 algorithm along with shooting strategy. For velocity and temperature distributions, a visualization evaluation of the entangled flow parameters is executed. It has been concluded that, the reduction is accrued in Nusselt number for heighten values of $\beta$ and ${\gamma }_1$. Furthermore, the Nusselt escalated for higher $\omega$ and $\lambda$.