Buongiorno's nanofluid model is followed to study the bioconvection in two stretchable rotating disks with entropy generation. Similarity transformations are used to handle the problem equations for nondimensionality. For the simulation of the modeled equations, Homotopy Analysis Method is applied. The biothermal system is explored for all the embedded parameters whose effects are shown through different graphs. There exists interesting results due to the effects of different parameters on different profiles. Radial velocity decreases with increasing stretching and magnetic field parameters. Temperature increases with Brownian motion and thermophoresis parameters. Nanoparticles concentration decreases on increasing Lewis number and thermophoresis parameter while motile gyrotactic microorganisms profile increases with increasing Lewis and Peclet numbers. Convergence of the solution is found and good agreement is obtained when the results are compared with published work. Natural convection has an outstanding applications in daily life. These applications are exist in petrochemical processes, cooling of electronic components, geothermal engineering, crystal growth processes, in the annular gap between the rotor and stator, thermal insulation system, food industry, growth of single silicon crystals, packed bed chemical reactors, grain storage installations, rotating systems, porous heat exchangers, fuel cells, solar ponds etc. Researchers paid extensive attention to work on convection. Venkatachalappa et al. 1 performed a study to analyze the role of rotation on the axisymmetric gravity driven complex flow in a cylindrical annulus whose side walls rotate about their axis with different angular velocities. They obtained the results for Grashof number, rotational speeds, Prandtl number, aspect ratio and compared the results with the existing data. Khan et al. 2 treated the movement in heating prevailing system of a differential type dispersion on an expanding medium using series solution. Sankar et al. 3 tested numerically the hydromagnetic field influence in axial or radial forms for natural convection of a low Prandtl number electrically conducting fluid in a vertical cylindrical annulus. Their outcomes showed that in shallow cavities the flow and heat transfer were suppressed sufficiently through an axial magnetic field and in tall cavities the radial magnetic field had an excellent output. Khan et al. 4 tested the thermal disorder, heat and mass transfer tiny dispersion movement with gyrotactic microorganisms in porous medium using heating wall information. Using the Brinkman-extended Darcy equation, Sankar et al. 5 investigated the natural convection flows in a vertical annulus filled with a fluid-saturated porous medium in which the inner wall was subjected to discrete heating, outer wall was subjected to isothermally at lower temperature and the adiabatic parts were the bottom and top walls including

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The study concerns with the mechanical characteristics of rotating system of two double disks. Hall current effect, entropy generation, Arrhenius activation energy and binary chemical reactions are investigated in heat and mass transfer bioconvection flow of Maxwell nanofluid. Brownian motion and thermophoresis with thermal radiation and buoyancy effects are encountered in the governing equations. The mechanical system has been investigated by the governing equations and boundary conditions which are simplified by the use of suitable similarity transformations. Optimal homotopy analysis method is implemented to obtain the series solution of non‐linear ordinary differential equations. Physical behaviors of heat and mass transfer flow with entropy generation are investigated through the effects of embedded parameters.

In this study, the boundary layer phenomena for stagnation point flow of water-based nanofluids is being observed with the upshot of MHD and convective heating on a nonlinear stretching surface. To develop a fundamental flow model, a boundary layer approximation is done, which signifies time-dependent momentum, energy, and concentration expressions. Through a proper transformation framework, the modeled boundary layer partial differential equations (PDEs) have been diminished to a dimensionless system of nonlinear ordinary differential equations (ODEs). With the assistance of a built-in algorithm in Mathematica software, the fundamental flow equations are analyzed numerically by imposing a shooting technique explicitly. A stability and convergence analysis were also unveiled, and the ongoing investigation was found to have converged. The effect of mathematical abstractions on velocity, energy, and concentration is plotted and discussed. The influence of skin-friction and Nusselt number on the sheet are debated for the various values of important parameters.