Entropy generation minimization in the Blasius–Rayleigh–Stokes nanofluid flow through a transitive magnetic field with bioconvective microorganisms

Abstract

The goal of this study is to underscore the attributes of nanofluid by discussing the Blasius-Rayleigh-Stokes (BRS) nanofluid flow with effects of modified Fourier law with gyrotactic microorganisms influenced by the transitive magnetic field past a moving semi-infinite plate. The proposed flow is supported by the non-uniform heat sink/source and radiation with zero mass flux at the surface. Analysis of entropy generation is also a part of this study. The most notable aspect of the presented model is that it discusses the entire problem using the Blasius-Rayleigh-Stokes flow. The envisioned model is reflected in the form of a system of PDEs that is transformed into a highly nonlinear system of ODEs engaging the boundary layer approximations and handled numerically. Graphical illustrations are designed for the arising parameters versus the associated profiles. It is comprehended that the thermal profile lowers for the thermal relaxation parameter. The results also disclosed that the motile density profile declines for Peclet number, and microorganism concentration difference parameter. Furthermore, the mass transfer rate is reduced by rising the chemical reaction parameter. Entropy generation upsurges versus heat generation absorption coefficients. A check for the validation of the presented model is also added to the problem.

KEYWORDS:

• Blasius-Rayleigh-stokes nanofluid flow
• zero mass flux condition
• cattaneo-christov heat flux
• gyrotactic microorganisms

Acknowledgment

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University (KKU) for funding this research through the Research Group Program Under the Grant Number: (R.G.P.1/382/42).

Author Contribution Statement

M.R. supervised and considered the idea; H.G. wrote the manuscript; H.A.S.G. worked on the software; K.S.N., and C.A.S., helped in editing, and validation.

Disclosure statement

No potential conflict of interest was reported by the author(s).