Analysis of bioconvection and thermal memory for magnetized Williamson fluid with suspension of radiative ferromagnetic nanoparticles in view of gyrotactic microorganisms

In recent decades’ research on Bioconvection caused by microorganisms is an interesting area because of its numerous applications in biomedicine, biotechnology as well as bioengineering. The process of bioconvection is basically swimming direction can be analyzed by the equilibrium of significant torques physically caused by gravity and viscous resistance that contribute to the asymmetric transfer. A variety of Bioconvection models are proposed for a variety of microorganisms in current studies due to their use in daily life. Moreover, nanofluids containing swimming microorganisms are of great importance in cancer therapy, medicine as well as biosensors. Moreover, research on nanofluid got interest from researchers due to broad range of practical applications due to their enhanced thermal properties as well as they are eco-friendly and less expensive. In recent problem, coupled system of PDEs is transformed into corresponding ODEs. Further, obtained ODEs are computed with use of bvp4c technique. Influences of important physical parameters are shown graphically. Results showed that temperature increases for thermal radiation as well as Brownian motion parameters and whereas decreasing behavior is found for increment in Prandtl number. Larger inputs in ( L b ) and ( P e ) results in reduction of motile gyrotatic microorganism for Williamson ferrofluid, motile microorganism presented show decreasing behavior for greater estimations of important fluid parameter called Peclet number.