Mixed Convection and Double Diffusion Impacts on Williamson–Sutterby Nanofluid with Activation Energy, Cattaneo–Christov Heat Flux, and a Magnetic Dipole

Current theoretical and computational investigation within the Darcy–Forchheimer medium through electromagnetic fields reveals the heat and mass transportation characteristics for the flow of Williamson–Sutterby nanofluid under the effects of Cattaneo–Christov double diffusion, radiation heat flux, magnetic dipole and convective boundary over a stretchy surface are taken into account. Cattaneo–Christov heat mass flux model is applied to shape the thermal and nanoparticle concentration equations. The prime purpose of the current study is to enhance the rate of heat transfer in industrial processes. Mechanism of thermal insulation, pharmacological processes, pace technology, crushing, nuclear reactor cooling, pharmaceutical procedures, geothermal reservoirs to enhance oil recovery with chemically reactive systems has great importance in mass transport. Moreover, the mass transportation is made by Arrhenius activation energy and binary chemical reaction. Additionally, the influences of bioconvection of self-propelled microorganisms are considered. The nanofluids with swimming microorganisms have great significance in microfluidics devices, medicine, cancer therapy, biotechnology applications such as biofuels and enzyme biosensor. The amalgamation of Sutterby–Williamson nanoparticles and microorganism with slight homogeneous diffusion exhibit the novelty of present work. Nonlinear PDEs are transformed into coupled ODEs by using similarity functions. The attained equations are then solved numerically with the help of software. Hartmann, Sutterby Reynolds, Sutterby Deborah, bioconvection Rayleigh numbers, mixed convection, porosity, ferrohydrodynamic interaction, buoyancy ratio and inertial resistance parameters slow down the flow of fluids. But reverse effects were observed for temperature, concentration and motile density profiles for Hartmann, porosity and ferrohydrodynamic interaction parameters. These theoretical outcomes play a vital role in industrial applications to enhance the heat/mass process, biomedical flows, heating and cooling systems, chemical processes and mining industries.