Fdm Study On Cross-Diffusive Effect On Heat Absorbing And Radiative Transient Hydromagnetic Flow Of A Nanofluid Past A Propagating Upright Porous Plate

This investigation delves into the impact of double diffusion on the heat-generating hydro-magnetic transport of water-based nanofluids flowing past a moving permeable plate subjected to heat flux. The nanofluids considered incorporate copper (Cu) and titanium dioxide (TiO₂) nanoparticles. The study is characterized by the formulation of dimensional quasi-linear partial differential equations (PDEs) with well-defined initial and boundary conditions, which are rendered dimensionless by introducing appropriate non-dimensional parameters. These equations are then resolved numerically using the implicit Crank-Nicolson finite difference scheme implemented in MATLAB. The research meticulously examines the influence of pertinent physical parameters on the velocity profile, temperature distribution, and concentration of reactive species, complemented by graphical illustrations. Furthermore, the study elucidates the impact of these physical variables on the wall shear stress, heat transfer rate, and mass transfer rate, presented in tabular format and subjected to comprehensive analysis. The findings underscore that an increase in the Soret parameter enhances fluid velocity and reactive species concentration, whereas the intensification of the magnetic field and heat flux parameter diminishes fluid velocity. The rate of thermal transfer is observed to escalate with higher values of the heat source, radiation-absorption, and radiative heat flux parameters; conversely, it diminishes with an increase in the Prandtl number. The study reveals superior thermal performance for Cu nanoparticles compared to TiO₂. A comparative analysis with prior published results substantiates the accuracy of the computational framework, with the outcomes exhibiting exceptional concordance.