Abstract
Utilization of bioconvection with variable thermal properties, nanoparticles and microorganisms in the area of bioinformatics, mechanical energy, engineering, biosensors, biotechnology and many more pulled the scientists and investigators towards this important direction. A key objective of current communication is to propose mathematical modeling of transient bioconvection of Maxwell nanofluid under the implications of gyrotactic microorganisms, variable thermal conductivity and viscous dissipation for the case of axisymmetric flow, which is not explored yet. Additionally, velocity partial slip, convective heat and mass stipulations at the radially moving surface are employed. Furthermore, Buongiorno nanofluid model is exploited to inspect heat and mass transmit in Maxwell nanofluid. Boundary layer theory is invoked to model basic partial differential equations of microorganism filed, nanoparticles concentration, energy, momentum and mass and then redeveloped in nonlinear coupled ordinary differential equations with the assistance of relevant transformation. Numerical simulation of this exploration is conducted via Runge-Kutta-Fehlberg (RK45) scheme. It is fascinating to perceive that microorganism density number (motile number) is intensified due to elevation of Peclet number and bioconvection Lewis number but reverse behavior is intimated for strengthen Maxwell parameter. Additionally, the magnitude of surface drag force is aggrandizing function of bioconvection Rayleigh number, buoyancy ratio parameter and mixed convection parameter.