Significance of thermal radiation and bioconvection for Williamson nanofluid transportation owing to cone rotation

Numerical investigation for enhancement in thermal distribution of unsteady dynamics of Williamson nanofluids and ordinary nanofluids flow across extending surface of a rotating cone is represented in this communication. Bio-convection of gyrotactic micro-organisms and thermal radiative fluxes with magnetic fields are significant physical aspects of the study. The velocity slip conditions are considered along x and y directions. The leading formulation is transmuted into ordinary differential form via similarity functions. Five coupled equations with non-linear terms are resolved numerically through the utilization of Matlab code for the Runge-Kutta procedure. The parameters of buoyancy ratio and bio-convection Rayleigh number decrease the x-direction velocity. The slip parameter being proportional to viscosity reduces the speed of flow and hence rise in temperature. Also, the temperature rises with the rising values of magnetic field strength, radiative heat transportation, Brownian motion and thermophorsis.

Automated summary

This study numerically investigates the thermal distribution enhancement of unsteady dynamics of Williamson nanofluids and ordinary nanofluids flowing across a rotating cone's extending surface. The physical aspects of bio-convection of gyrotactic micro-organisms and thermal radiative fluxes with magnetic fields are considered. The results show that the x-direction velocity decreases with the increase of buoyancy ratio and bio-convection Rayleigh number. The flow speed is reduced and the temperature rises with the increase of slip parameter, magnetic field strength, radiative heat transportation, Brownian motion, and thermophoresis.