Bioconvection transport of Carreau nanofluid with magnetic dipole and nonlinear thermal radiation

Abstract

BackgroundAn important area of research is the study of bioconvection effects on magnetic ferrofluid with nanoparticle suspension and motile microorganisms due to their wide range of applications. Magnetic nanostructures provide a direct influence on the magneto-viscous nature of ferrofluids resulting a considerable improvement in fluid viscosity and thermo-physical properties. Because of all the above-mentioned benefits, the development of a non-linear contamination effect on the magnetic dipole stretching stream is important. ObjectiveIn this work, Carreau nanomaterial is used for the composition of the flow in rheological relationships with bioconvection and Buongiorno's nanofluid model to analyze thermophoresis and Brownian motion characteristics. ApproachThe appropriate changes are employed to convert the PDEs into the ODEs. The popular bvp4c scheme (Labotto-IIIa formula) is being implemented to quantify the non-linear ordinary differential structures. ResultsThe influences of the variables are defined by graphical findings and numerical data. Our consequences depict that the microorganism field diminishes by growing approximations of Peclet number and bioconvection Lewis number. The impacts of Brownian motion and thermophoresis parameters on velocity and thermal profiles are studied in depth. The outcomes indicate that raising the Brownian motion and thermophoresis parameters raises the thermal profile.