Sharif University of Technology Scientia Iranica 1026-3098 32 13 2025 08 01 Three-dimensional stretched boundary layer flow of Casson nanofluid in rotating frame with bio-convection phenomenon 24208 10.24200/sci.2024.63534.8450 EN Muhammad Sohail Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan. Syed Qasim Hussain Shah Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan. Faisal Sultan Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan. Shah Jahan Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan. Syed Tehseen Abbas Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan. Journal Article 2023 11 15 This paper describes the three-dimensional Casson nanofluid's rotating flow with bio-convection phenomenon containing microorganisms, thermal radiation, and magnetic effects. This research has real-world applications in a variety of processes, including oceanography, crystal growth, computer storage devices, lubrication, and rotating machinery. The present model incorporates the Buongiorno nanofluid model, which describes the Brownian and thermophoresis motion of nanoparticles. The boundary layer approximation and non-Newtonian three-dimensional Casson fluid model are encompassed in the modelling of the nonlinear partial differential system. Finding an analytical clarification to the 3D Casson nanofluid flow past a rotating frame involving bio-convection phenomenon nonlinear differential equation is the goal of this study. Graphical results are obtained using the Optimal Homotopy Asymptotic Method (OHAM). The effects of different parameters are examined with respect to velocities, thermal field, magnetic field, nanoparticle concentration, and microorganism field. The temperature distribution is reduced with a greater Prandtl number. The temperature and solute field of a species increase with an upsurge in the estimation of the thermophoresis parameter. The microorganism field decreases when the Peclet parameter, bio-convection Lewis number, and microorganism difference number increase. https://scientiairanica.sharif.edu/article_24208_87198b85e9a299b761dcefc557b76b3c.pdf