MHD thin film flow of the Oldroyd-B fluid together with bioconvection and activation energy

The recent study concentrates on the liquid film flow considering Oldroyd-B fluid past a rotating disc in three-dimensional space. The flow pattern has been modeled under the effects of heat absorption/omission and radiation terminologies. The activation energy, bio-convectional, and gyrotactic microorganism phenomena are also included in this study. The Von Karman alterations have been used to alter the basic equations into the set of nonlinear differential equations. The elegant homotopy analysis method (HAM) has been used to obtain the solution of the system of nonlinear differential equations. The influence of the emerging parameters is scrutinized with physical descriptions against the flow pattern, temperature distribution, concentration profile, and gyrotactic microorganism. The detailed outcomes in the heat transfer rate, mass transfer, and motile organism due to the variation of physical parameters have also been shown through bar charts and discussed. It is found that the velocity field decline with the augmentation of magnetic parameter, film thickness parameter, time retardation, and relaxation parameters. The heat transfer enhances with the augmentation of radiation and heat absorption/omission parameters while declining with the Prandtl number. The greater magnitude of the Schmidt number declines the concentration profile.