Significance of bioconvection and mass transpiration for MHD micropolar Maxwell nanofluid flow over an extending sheet*

Motivated by several practical submissions, the current modeling addresses the theoretical and numerical aspects of Maxwell micropolar nanofluids with diluted homogeneous diffusion of nanoparticles and gyrotactic microorganisms. Nanoparticles are considered due to extraordinary thermal conductivity, which are very useful in modern technology, electronics, heat exchangers, and material sciences. Further, gyrotactic microorganisms are incorporated to avoid possible sedimentation. The similarity variables are used to transform the flow equations into corresponding non-dimensional ODEs, furthermore these ODEs are transmuted into linear form by adopting shooting technique. The graphical and numerical results are utilized by computational software Matlab with Runge-Kutta order 4 method. Numerical and graphical consequences of velocity, micro-rotation, temperature, concentration and motile density profiles are displayed. As uplifting values of magnetic parameter, a twisting behavior is observed on micro-rotational profile but velocity profile is diminishing. The motile density profile is decline when Lewis and Peclet numbers are boosted. Temperature distribution increased for larger values of Brownian motion, Rayleigh number, and thermophoresis parameters.

Automated summary

Motivated by practical applications, this study focuses on the theoretical and numerical aspects of Maxwell micropolar nanofluids with diluted homogeneous diffusion of nanoparticles and gyrotactic microorganisms. The results show the effects of nanoparticles and microorganisms on velocity, micro-rotation, temperature, concentration, and motile density profiles.