Publication

Abstract : 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.