The present article is about the study of Darcy-Forchheimer flow of Maxwell nanofluid over a linear stretching surface. Effects like variable thermal conductivity, activation energy, nonlinear thermal radiation is also incorporated for the analysis of heat and mass transfer. The governing nonlinear partial differential equations (PDEs) with convective boundary conditions are first converted into the nonlinear ordinary differential equations (ODEs) with the help of similarity transformation, and then the resulting nonlinear ODEs are solved with the help of shooting method and MATLAB built-in bvp4c solver. The impact of different physical parameters like Brownian motion, thermophoresis parameter, Reynolds number, magnetic parameter, nonlinear radiative heat flux, Prandtl number, Lewis number, reaction rate constant, activation energy and Biot number on Nusselt number, velocity, temperature and concentration profile has been discussed. It is viewed that both thermophoresis parameter and activation energy parameter has ascending effect on the concentration profile.

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The forthright purpose of this communication is to inspect the flow of magnetohydrodynamic (MHD) stratified micropolar bioconvective fluid containing nanoparticles and gyrotactic microorganism. The phenomenon of thermal radiation and Joule heating has also been incorporated. In order to stabilize the suspended nanoparticles, bioconvection which is established by the combined effects of magnetic field and buoyancy force is implemented. A system of PDEs is converted into the ODEs by invoking the appropriate similarity transformation and the transformed equations are then solved by the well known shooting technique. The interesting aspects of sundry parameters on the velocity, the angular velocities, the temperature, concentration and the motile microorganism density are examined and sketched. The skin friction and the couple stress coefficients, the heat and mass transfer rates and the local density number of the motile microorganism have been numerically computed and discussed. Our analysis depicts that the temperature, concentration and motile microorganism density depreciate for the increment in the material parameter. An enhancement in the buoyancy ratio parameter results an enhancement in the energy and the motile microorganism density profile whereas the velocity profile is reduced.

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