LAUSR

Abstract The thermal applications of nanofluids significantly improved the heat and mass transfer pattern which convey necessary role in many engineering and industrial zones. The consideration of nanofluids contributes many dynamic applications in the solar energy and thermal engineering problems. Moreover, the stability of nanofluids is enhanced perfectively with motile microorganisms which have applications in petroleum sciences, biofuels, bio-engineering, bio-medical, enzymes etc. This research determines the applications of bio-convection in Casson nanoliquid flow subject to the variable thermal conductivity and inertial forces. The Cattaneo–Christov relations are treated to modify the heat and concentration equations. The accelerated surface with sinusoidal type velocity induced the flow. The flow problem is formulated in terms of partial differential equations. The homotopic scheme is followed in order to suggest the analytical relations. After highlighting the convergence region, the graphical simulations with help of MATHEMAITCA are performed. The physical output is addressed in view of all flow parameters. The 3-D behavior of velocity, temperature, concentration and microorganisms is also addressed.