Abstract
Bioconvection Darcy–Forchheimer fluid flow of the boundary layer around a tiny needle containing motile gyrotactic microorganisms with thermal radiation has been investigated in this article. The art of the present investigation is a variable thermal conductivity and viscosity. The effects of Brownian motion and thermophoresis are studied by using Buongiorno model. The study is examined under the effects of viscous dissipation and Joule heating. To simplify the governing equations, the boundary layer assumptions in the existence of frictional heating have been employed. Based on this, the equations of boundary layer are described in dimensionless forms using similarity variables that are axisymmetric to achieve a self-similar solution. HAM is employed to solve nonlinear ODEs equations. The impacts of dissimilar parameters on velocity, temperature, concentration and motile density microorganisms are represented by graphical and tables discussion. The results concluded that the flow dramatically differs with thermal conductivity and constant viscosity whereas it is more realistic with thermal conductivity and variable viscosity. The fluid temperature is also strongly connected to the shrinkage of the needle. There are many applications for the fluid flow through a needle, including fuel injection systems, fluid sampling, scientific research, medical injections, electrospinning, laboratory applications, and hydraulic systems.