Transient bioconvection and activation energy impacts on Casson nanofluid with gyrotactic microorganisms and nonlinear radiation

Abstract

Novel applications of bioconvection and activation energy in the progress of Casson nanomaterials with gyrotactic microorganisms involve mechanical energy, bioinformatics, biotechnology, engineering, and biosensors captivated the attraction of scientists and investigators. The prime focus of the present communication is to devise new mathematical modeling for unsteady bioconvection flow of chemically reactive Casson nanoliquid with nonlinear radiation and gyrotactic microorganisms for axisymmetric flow case. Furthermore, activation energy and viscous dissipation ramifications are accounted. A revised nanofluid model is deployed to perceive flow dynamics in nanomaterials. Fundamental PDEs of the presumed study are developed with boundary layer conjecture and then reorganized into coupled ODEs by employing appropriate transformation. Numerical solutions of considered appraisal are derived via Fehlberg (RK45) shooting. Numerical simulations of the density number of microorganisms, mass transfer rate, Nusselt number, and surface drag force are executed. For the justification of the presumed investigation, a comparison with the published study is conducted and divulged in a great agreement. It is fascinating that microorganism density number is deprecated for higher approximation of Peclet number and microorganism difference parameter.