Computational Approach of Bio Convective Heat and Mass Transfer in 3-D Williamson Nanofluid Flow Infused with Microorganisms Impact of Activation Energy, Thermal Radiation and Heat Absorption over a Stretching Sheet

This paper gives a numerical study of bioconvective heat and mass transport in three-dimensional Williamson nanofluids injected with gyrotactic bacteria with an impact of activation energy, heat absorption. Our work uses an integrated computational method to clarify the complex interplay between convective heat and mass transport, Williamson fluid behaviour and the dynamics of gyrotactic microorganisms. Through simulations and analysis, we investigated the complex interaction of these physical events, providing insights into the dynamics of nanofluids harbouring gyrotactic microorganisms. Through the graphs for physical parameters ᴦ_1,ᴦ_2,ᴦ_3,H,Nb,Nt,Pr,R,M,K,Lb,Pe,Le,λ and α within the range the momentum boundary layer, thermal boundary layer, Concentration boundarylayer, with density of motile microorganisms was studied with an impact of activation energy, thermal radiation and heat absorption. The governed partial differential equations are first transformed to system of ordinary differential equations by utilisation of similarity transformations with stream function. With the help of Bvp4c technique with MATLAB Software. All the physical parameters impacts are computationally studied through graphs and tabular for diverge values of the parameters and the other physical parameters like Nusselt number, Sherwood number, stretching ratio parameter and density rate of motile microorganisms’ transformations. Main outcomes of this considerations are the Peclet number (Pe), the bioconvective Lewis number(Lb), the motile Biot number Γ_3 and the motile of microorganism’s ration parameter omega all rise in proportion to the transmission of motile density rate. Additionally, the profile of motile bacteria decreases as Lb and Pe rise, but the density rate of microbe transmission increases Pe and growing Biot number Γ_3 of temperature and concentration causes related boundary layer profiles to rise.