Role of Bioconvection on Nanofluid Flow in a Thin Moving Needle in the Effect of Soret and Dufour

Abstract

The purpose of this article is to study the bioconvection in the flow of nanofluids due to the thin moving needle using the mathematical nanofluid model with soret and dufour effect. A similarity transformation is used to reduce the governing partial differential equations to a set of ordinary differential equations which are then solved numerically Runge–Kutta–Fehlberg method with shooting technique (RKSM) for various values of the governing parameters. The numerical values gained within the boundary layer for the dimensionless velocity, temperature, concentration, motile diffusivity number, heat transfer rate and mass transfer rate are presented through graphs and tables for some set of values of governing parameters.