Hydro-magnetic impact on the nanofluid flow over stretching/shrinking sheet using Keller-box method

This study investigates the importance of intensified radius of nanoparticles in the dynamics of a fluid, energy flux via concentration panel and mass flux via temperature distribution uner the effects of magnetic field. By elaborating suitable similarity operations, the dimensionless form of flow equations can be derived. The shooting technique is used to reduce from higher to lower order of ordinary differential equations (ODEs) for the calculated model of the relevant governing system by operating the Keller box method built-in MATLAB. The features of dimensionless prominent factors against the velocity concentration, volumetric concentration, and temperature panels are addressed. The temperature distribution is raised as the heat source parameter, nanoparticle radius, nanoparticle concentration, and thermal radiation is valued higher. The concentration distribution is decreased by enhancing the chemical reaction parameters and Lewis number. The optimum temperature is also apparent when the mass flux due to the temperature gradient is negligible and the energy flow due to the concentration gradient is sufficiently large. The optimal temperature is determined at all levels of energy flow due to the concentration gradient when the mass flux due to the temperature gradient is large enough. Due to extensive implementation, numerous studies have analyzed boundary layer flows driven by stretching/shrinking surfaces. Stretching/shrinking surfaces yield flow and heat transport aspects are extensively used in mechanical engineering processes including fabrication and melt-spinning, polyethene sector, die casting, fibre spinning, aerofoil extruding of plastic tarps, and materials management machinery, and condensation mechanisms with a liquid film.