Abstract
The current communication discloses the time dependent three-dimensional thermally developed flow of Maxwell nanofluid containing gyrotactic microorganisms. The flow is generated by bidirectional periodically moving and accelerated configuration. Moreover, heat transportation investigation is characterized by utilizing modified Cattaneo-Christov expressions. The formulated nonlinear partial differential equations are rendered into dimensionless form by using apposite transformations and then elucidated analytically via homotopic technique. The impact of diverse prominent parameters on dimensionless velocities, temperature, nanoparticles concentration and motile microorganism profiles are deliberated graphically. The observations reveal that the reduction in both components of velocity occurs due to magnetic parameter. The velocity has decreasing tendency in horizontal direction for bioconvected Rayleigh number and buoyancy ratio constant. It is further acknowledged that motile microorganism distribution leads to be decreased for enhancement in bioconvected Lewis and Peclet numbers, while opposing behavior is noticed for thermophoresis constant.