Abstract
Recent investigations relate the enhancement of extrusion processes and transportation of heat systems via solar radiation and utilization of nanoparticles. The prime aim of the current exploration is to analyze the rheology of three-dimensional magnetized Eyring-Powell nanofluid in the presence of velocity slip, thermal radiation and Arrhenius activation energy. The suggested flow model attains both nanoparticles and gyrotactic microorganisms. The dimensionless system for flow problem is introduced with utilization of convenient transformation. The self similar solution of converted equations is integrated numerically with the help of well-known shooting technique via MATLAB software. The aspects of pertinent parameters like combine parameter H-a, slip parameter a, stretching parameter beta, Biot number B-i, Lewis number Le, Peclet number Pe, bio-convection Lewis number Lb are graphically influenced for velocities, temperature, nanoparticles concentration and density of motile microorganism. The nanoparticles significance for each physical quantity is comprehensively pointed out. Study revealed that an interaction of buoyancy forces resists the fluid particles movement near the surface effectively. It is further observed that slip factor enhanced the both heat and mass transportation phenomenon. An increment in local Nusselt and Sherwood numbers is resulted with variation of mixed convection parameter and Prandtl number. The reported results are valuable for the energy transportation enhancement and applications of bio-nanofuels cells.