Modeling of transient free convection flow in terms of permeability and thermal radiation

A 2D transient free convection flow has been demonstrated in the current study computationally as well as numerically. The important terms thermal radiation and heat source term have been employed extensively in this study for the porous medium. The novelty of the current study associated with the term radiation which performs more efficiently in a fluid than any other ingredients when compared to the other methods of heat transfer. Explicit finite difference method (EFDM) has been treated as the main tool of the numerical experiments. This kind of fluids are typically chosen by researchers because of their mechanical characteristics, which play a key role in deciding whether they are suitable for convective heat transfer. The current study can be used as an invaluable resource for research and experimentation due to its comprehensive parametric investigation which has been performed as a motivation of adding few new terms from the previous study. Isotherms and streamlines, as well as shear stress, nusselt and sherwood numbers, were also examined for a variety of parametric ranges. All the analysis has been established using the convergence criteria Sc ≥ 0.100 and Pr ≥ 0.367 . Few of the main findings can be highlighted as: grashof numbers and heart source parameters elevate temperature characteristics, while prandtl numbers, magnetic parameters diminish the profile of temperature. The model that is suggested is advantageous as it holds the potential to substantially improve the fields of thermal and manufacturing engineering. In addition, this current model is worthwhile since it can potentially be utilized in the field of astrophysical research and aerospace technology.