The role of radiation and bioconvection as an external agent to control the temperature and motion of fluid over the radially spinning circular surface: A theoretical analysis via Chebyshev spectral approach

Abstract

The usage of nanoparticles is effectively increased in industries because of their high thermal performance. Moreover, the bioconvection phenomenon in nanomaterials leads to innovative biotechnology applications, such as biofuels, biosensors, the petroleum industry, etc. Because of the nanoparticle's exceptional performance and bioconvection phenomenon, the magnetohydrodynamics bioconvection Reiner–Rivlin nanofluid flow is considered over the rotatory stretchable disk contains the motile gyrotactic microorganisms. The heat and mass transport phenomenon with thermal radiation and activation energy is also investigated under convective‐Nield's boundary conditions. The governing partial differential equations (PDEs) are transmuted with specific similarity transformation into ordinary differential equations (ODEs). The obtained ODEs are solved numerically through the assistance of the Chebyshev spectral collocation method. The effects of the flow parameters on the boundary layer profiles are reported graphically. The graphical illustration elucidates that the dimensionless parameters have significantly affected the nondimensional boundary layer profiles. The fluid velocity, temperature, concentration of nanoparticles, and motile density of microorganisms are effectively controlled through the proper alteration of the pertinent parameters. The thermophoresis parameter decreases the heat and mass transport rates, whereas the Brownian motion parameter helps to increase them. Finally, the current research can successfully fill a gap in the existing literature.