Heat generation/absorption and bioconvective swirling stagnation point flow impact of magnetized Maxwell nanofluid by a stretchable rotating disk

The prime focus of this article is to formulate and inspect the mathematical model concerning the bioconvective swirling stagnation point flow of magnetized Maxwell nanofluid in the presence of gyrotactic motile microorganisms through a stretchable rotating disk. For the articulation of the heat transfer process, Fourier's law of heat conduction is implemented by incorporating heat sources and thermal radiation. The flow is further accompanied by the activation energy and solutal boundary conditions. The flow behavior for velocity, thermal, concentration, and microorganisms' volumetric density profiles are discussed in detail. Furthermore, heat and mass fluxes are explored by considering thermophoresis impact and Brownian movement through the Buongiorno model. The governing complicated nonlinear partial differential equations of flow are reduced into dimension-free ordinary differential equations by introducing some appropriate transformation variables. This problem is computed numerically by deploying the bvp4c built-in function in MATLAB. The impacts of concerned flow describing parameters are assessed by utilizing both graphical and tabulated approaches. The results elucidate the flow toward radial and azimuthal directions accelerated by increasing the stretching ratio parameter but decelerated by enlarging the magnetic field parameter. The thermal field strengthens against the increasing thermal radiation parameter, thermophoresis parameter, heat source parameters, and the thermal Biot number. The nanoparticles concentration profile is boosted for increasing magnitudes of thermophoresis number and solutal Biot number while it diminishes for enlarging Brownian movement parameter. The gyrotactic motile microorganisms' profile is downscaled by the Peclet and bioconvection Lewis numbers whereas an adverse tendency is noticed against the microorganism Biot number.