Computational optimization for the deposition of bioconvection thin Oldroyd-B nanofluid with entropy generation

The behavior of an Oldroyd-B nanoliquid film sprayed on a stretching cylinder is investigated. The system also contains gyrotactic microorganisms with heat and mass transfer flow. Similarity transformations are used to make the governing equations non-dimensional ordinary differential equations and subsequently are solved through an efficient and powerful analytic technique namely homotopy analysis method (HAM). The roles of all dimensionless profiles and spray rate have been investigated. Velocity decreases with the magnetic field strength and Oldroyd-B nanofluid parameter. Temperature is increased with increasing the Brownian motion parameter while it is decreased with the increasing values of Prandtl and Reynolds numbers. Nanoparticle's concentration is enhanced with the higher values of Reynolds number and activation energy parameter. Gyrotactic microorganism density increases with bioconvection Rayleigh number while it decreases with Peclet number. The film size naturally increases with the spray rate in a nonlinear way. A close agreement is achieved by comparing the present results with the published results.

Automated summary

In this study, the behavior of an Oldroyd-B nanoliquid film sprayed on a stretching cylinder was investigated, with the presence of gyrotactic microorganisms with heat and mass transfer flow. The governing equations were made non-dimensional and solved using the homotopy analysis method. The results showed that velocity decreases with magnetic field strength and nanofluid parameter, while temperature increases with Brownian motion parameter. The concentration of nanoparticles, gyrotactic microorganism density, and film size are also influenced by various factors.