Thermal transport characteristics of buoyancy-driven couple-stress bioconvective liquid when gyrotactic microorganisms and transpiration effect are significant

Heat transportation is an influential aspect regarding heating or cooling an object. The undue heat engendered necessities to be either released or elevated for functioning of a mechanism to oeuvre in an optimal situation. Liquid coolants are utilized to diminish heat on mechanisms like processors and in numerous industries for illustration electronics and automotive. Besides, the significance of bioconvection aspect can be noticed in numerous micro-heating cylinders and bio-microsystems comprising micro-reactors which are utilized in biotechnology for enzyme bio-sensors, mass transportation etc. Such significance of nanofluids together with bioconvection aspect motivate us to investigate the couple-stress laminar flow based on Buongiorno's model of nanofluids. Stretchable magnetized surface with suction/injection and thermal radiation creates the convected flow. Energy expression encompasses heat sink and source aspects. Mass transfer captures chemical reaction effects. The novel bioconvection phenomenon based on gyrotactic microorganisms is introduced. The governing systems representing the rheological expressions of couple-stress liquid are simplified and rendered to the ordinary ones under transformation procedure. The well-known computational scheme (i.e., HAM (homotopy analysis method)) is employed to obtain the convergent solutions. Besides, the analysis of dimensionless quantities is elaborated via graphs. The analytical results computed via homotopy algorithm are compared with alternate numerical algorithm and found reasonably consistent with numerical results. Besides, it is witnessed that increasing radiation factor, solutal Biot number, chemical reaction factor, microorganisms concentration difference and bioconvective Schmidt number yields higher heat-mass-microorganisms transference rates respectively while heat-transference dwindles when thermal source factor is augmented.