Eur. Phys. J. Special Topics 228, 2601–2617 (2019)
https://doi.org/10.1140/epjst/e2019-900061-2

Regular Article

Analytical solution for differential nonlinear and coupled equations in micropolar nanofluid flow between rotating parallel plates

¹ Faculty of Modern Technologies Engineering, Amol University of Special Modern Technologies, Amol, Iran
² Department of Engineering, Islamic Azad University, Sari Branch, Iran
³ Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
⁴ Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey

^a e-mail: bekirahmet@gmail.com

Received: 26 March 2019
Received in final form: 7 June 2019
Published online: 6 December 2019

Abstract

This paper presents solution to micropolar nanofluid between two parallel plates in a rotating system via a new and innovative semi-analytical method called Akbari-Ganji’s method (AGM). The nanofluid flow between two parallel plates is taken under the influence of Hall current. The flow of micropolar nanofluid is in steady state. We get a set of differential nonlinear and coupled equations from suitable similarity variables and the elementary governing equations. Moreover, the physical discussion of the embedded parameters in the equations that is, viscosity parameter Re, rotating parameter Kr, magnetic parameter M, Prandtl number Pr, thermophoretic parameter Nt, Brownian motion parameter Nb, and Schmidt number Sc, by showing figures and tables, they have been analyzed. Our results show that the employed method is very efficient and practical for obtaining solutions to this category of coupled equations and the solutions are in excellent agreement for nonlinear higher order differential equations in engineering.