dissipative magneto-thermo-convection of nanofluid past through a semi-infinite vertical surface with ohmic heating

This study numerically investigates the non-linear, laminar convection flows of buongiorno’s nanofluid past through a semi-infinite vertical plate by considering the impacts of the magnetic parameter (m), heat generation and absorption (δ), viscous dissipation (ec), and ohmic heating. the research integrates the above-mentioned effects with buongiorno’s nanofluid model, addressing a significant gap in existing literature. the buongiorno model offers a thorough framework for evaluating nanofluid dynamics since it considers both thermophoresis (nt), buoyancy ratio (nr), and brownian motion (nb). a second-order flexible, implicit finite-difference keller box method (kbm) is employed for solving the modified conservation equations mathematically, subject to physically suitable boundary conditions. comprehensive numerical simulations are conducted to elucidate the complex interactions within the fluid.  a non-similarity solution is offered that is reliant on the thermophoresis number (nt), buoyancy ratio (nr), brownian motion number (nb), magnetic parameter (m), heat generation and absorption (δ), viscous dissipation (ec), and influence of these parameters on velocity, temperature, nanoparticle concentration profiles, in the boundary layer regime is examined in detail graphically. furthermore, an investigation is conducted into how these parameters affect the rate of surface heat transfer, the rate of mass transfer, and the rate of local skin friction. our present code is validated using earlier studies from the literature, and an excellent correlation is achieved. the discoveries offer novelty perspectives and information about the intricate interactions between different physical phenomena in nanofluid convection, contributing to a deeper understanding of heat transmission and fluid dynamics with prospective applications in thermal management systems, and sophisticated cooling technologies. it is observed that by increasing eckert number (ec) there is a substantial hike in velocity and temperature but concentration decays, conversely, as magnetic parameter (m) enhances, velocity is depreciated, however, temperature and concentration profiles are elevated steadily. also, the results obtained show that heat generation and absorption control the thermal boundary layer thickness there is a hike in velocity and temperature, but concentration depreciates significantly. moreover, increasing the brownian motion number enhances both velocity and temperature but there is a reduction in concentration profile, on the other hand as the buoyancy ratio (nr) appreciates velocity is decelerated, however, temperature and concentration profiles have surged significantly. the results highlight how crucial it is to consider several simultaneous impacts to precisely forecast and optimize the performance of nanofluids in real-world engineering scenarios. this current study has practical implications for enhancing the design and optimization of cooling systems, electronic thermal management, and energy systems, where precise thermal control and efficient heat transfer are critical. by filling the existing research gap, this research offers valuable contributions to the field of nanofluid dynamics and thermal engineering.