Eur. Phys. J. Plus (2020) 135: 600
https://doi.org/10.1140/epjp/s13360-020-00606-2

Regular Article

Internal heat generation on bioconvection of an MHD nanofluid flow due to gyrotactic microorganisms

¹ Department of Mathematics, Acharya Nagarjuna University Campus, 523001, Ongole, Andhra Pradesh, India
² Department of Mathematics, Vignan’s Lara Institute of Technology and Science, 522213, Vadlamudi, Guntur, Andhra Pradesh, India
³ Division of Mathematics, Department of Sciences and Humanities, Vignan’s Foundation for Science, Technology and Research, 522 213, Vadlamudi, Andhra Pradesh, India
⁴ Institute of Research and Development, Duy Tan University, 550000, Da Nang, Vietnam
⁵ Institute of Theoretical and Applied Research (ITAR), Duy Tan University, 100000, Hanoi, Vietnam

^e alichamkha@duytan.edu.vn

Received: 1 June 2020
Accepted: 13 July 2020
Published online: 25 July 2020

Abstract

The principal aim of this paper is to analyse the two-dimensional magnetohydrodynamic flow and heat and mass transfer phenomena of water-based nanofluid containing gyrotactic microorganisms over a vertical plate by means of heat generation or absorption. Set of nonlinear ordinary differential equations are derived from the governing partial differential equations of the two-dimensional flow of MHD nanofluid and nanoparticles by utilizing appropriate similarity transformations. The numerical results are obtained with the proposed novel spectral relaxation method. The results revealed that in the heat and mass transfer, the motile microorganism flux rates as well as the velocity profiles are decreased throughout the fluid medium with the impact of magnetic field strength. Moreover, the drag stress rate and motile microorganism profiles are increased with the enhancement of magnetic field. Even though the problem of nanofluid has been broadly investigated, limited discoveries can be found through a gyrotactic microorganisms. Indeed, this paper managed to obtain the numerical analysis is performed. Furthermore, the authors also considered the MHD phenomena, heat generation or absorption effects. Very few studies in the fluid with gyrotactic microorganisms embedded in this parameter in their problems.