A proposed unsteady bioconvection model for transient thin film flow of rate-type nanoparticles configured by rotating disk

The revolution in nanotechnology has made new developments toward enhancement of energy resources which play a substantial role in the growth of industries and technologies. The aim of this novel investigation is to develop a mathematical model for unsteady volatile finite flow of the upper film transmitted by rate-type nanofluid due to the horizontal spinning disk in the presence of gyrotactic motile microorganisms. The most preferable subclass of rate-type fluid, namely Maxwell fluid, is utilized to predict the exclusive rheological parameters. The additional unique features like activation energy, thermal radiation and Joule heating are also included for the current flow situation. The indicated partial differential system is transformed into nonlinear ordinary differential equations using appropriate self-similar transformation. The governing equations are translated to ordinary differential equations, and later on, shooting procedure is followed to construct the numerical arrangement of the transmuted dimensionless flow problem. The value of physical limitations is shown in the plots and table tests. In contrast, wider Brownian motion and thermophoresis parameters have different intensity field features. The graphical and numerical results are drawn against different prominent parameters over velocity profile, temperature distribution, volumetric fraction, nanoparticle, density of motile microorganisms. The results revealed that the increase in buoyancy ratio parameter and Rayleigh number reduced the axial velocity, radial velocity and azimuthal distribution. A progressive temperature distribution is noted with increasing Rayleigh number and buoyancy ratio constant. It is further observed that change in unsteady parameter enhanced the concentration and motile microorganism distribution effectively.