Numerical study of bio-convection flow of magneto-cross nanofluid containing gyrotactic microorganisms with activation energy

Qiu-Hong Shi,Sami Ullah Khan,R J Punith Gowda,Nehad Ali Shah,Aamir Hamid,Jae Dong Chung,B C Prasannakumara,R Naveen Kumar,M Ijaz Khan

doi:10.1038/s41598-021-95587-2

Abstract

In this study, a mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past a stretching sheet with thermal radiation effects. Binary chemical reactions and heat source/sink effects along with convective boundary condition are also taken into the consideration. Appropriate similarity transformations are utilized to transform partial differential equations (PDE’s) into ordinary ones and then numerically tackled by shooting method. The impacts of different emerging parameters on the thermal, concentration, velocity, and micro-rotation profiles are incorporated and discussed in detail by means of graphs. Results reveal that, the escalation in magnetic parameter and Rayleigh number slowdowns the velocity and momentum of the fluid. The increase in Biot number, radiation and heat sink/source parameters upsurges the thermal boundary but, converse trend is seen for escalating Prandtl number. The density number of motile microorganisms acts as a growing function of bioconvection Lewis number and declining function of bioconvection Peclet number.

Highlights

In this study, a mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past a stretching sheet with thermal radiation effects
Ali et al.[2] explicated the radiative stream of cross nanoliquid instigated by a stretchy sheet
We have considered transient two-dimensional magnetic flow of an incompressible Cross nanofluid past a stretching sheet in the presence of thermal radiation effects

Summary

Introduction

A mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past a stretching sheet with thermal radiation effects. The Cross-viscosity model for generalized Newtonian fluid was proposed by Cross By using this concept, Khan et al.[1] elucidated the chemically reacting magnetohydrodynamic (MHD) radiative flow of cross nanoliquid towards a stretchy sheet. The studies of magnetohydrodynamic (MHD) streams of non-Newtonian and Newtonian liquids over a stretching surface have gotten a lot of interest because of their wide range of uses in chemical engineering and metallurgy Such MHD flow investigations are critical in industry and have uses in a number of fields, including petroleum processing and metallurgical processes. Thermal radiation is important in heat nuclear reactor protection, power plants, exchangers, furnace architecture, solar energy, and power technology Motivated by these uses, Khan et al.[11] explored the radiative flow of Carreau liquid above a stretchy surface. Xionget al.[15] explicated the effect of radiation and heat source/sink on flow of hybrid nanoliquid

Discussion

Conclusion