Solar energy aspects of gyrotactic mixed bioconvection flow of nanofluid past a vertical thin moving needle influenced by variable Prandtl number

The current analysis deals with the nanofluid flow over a vertical thin needle having gyrotactic microorganisms. Further, the incompressible liquid is electrically conducted in the existence of magnetic field. The important effect of thermophoresis and Brownian motion has been involved in the model of nanofluid. The system of dimensionless form of ordinary differential equations (ODE's) are obtained by applying appropriate transformations to the formulated problem defined by the system of partial differential equations (PDE's). Later, these reduced ODE's are tackled numerically by using Runge-Kutta-based shooting process. Finally, keeping in view of physical significance of flow parameters, the graphical analysis for prominent parameters is portrayed and discussed in detail. The outcome exposed that the velocity gradient reduces for rising values of magnetic and buoyancy ratio parameter. The upsurge in Biot number and radiation parameter enhances the heat passage. The motile microorganisms density number improves for growing values of Lewis number and declines for improved values of Peclet number. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

The study focuses on nanofluid flow over a vertical thin needle with gyrotactic microorganisms, considering the presence of a magnetic field in the incompressible electrically conductive liquid. The model includes the effects of thermophoresis and Brownian motion. The results show that increasing magnetic and buoyancy ratio parameters lead to a reduction in velocity gradient, while higher Biot number and radiation parameter enhance heat transfer. The density of motile microorganisms increases with Lewis number and decreases with Peclet number.