A study of unsteady mixed convection in porous corrugated enclosures with magnetic fields

In this study, we performed a numerical analysis of unsteady two-dimensional coupled natural and mixed convective flows in a porous corrugated geometry under the influence of magnetic field . A higher order compact (HOC) scheme is employed to discretize the nonlinear coupled transport equations. The outcomes of simulations are analyzed across a range of critical parameters, including the Darcy Number ( 1 0 − 5 to 1 0 − 1 ), Reynolds Number ( 100 to 1000 ), Grashof Number ( 1 0 3 to 1 0 6 ), Richardson number ( 0 . 1 to 100 ), Hartmann number ( 25 to 150 ), and Prandtl Number ( 0 . 015 to 10 . 0 ). Also, analyzing three distinct configurations based on the height of heat sources can provide valuable insights into their thermal performance and Nusselt number variations. The maximum augmentation of the mean Nusselt values on the thermal and non-thermal boundary surfaces in ascending and descending patterns at different critical parameters are viz. G r ( 87 . 65 % & 81 . 12 % ), D a ( 217 . 16 % & 62 . 23 % ), H a ( 510 . 30 % & 45 . 51 % ), R e ( 42 . 41 % & 36 . 13 % ), and P r ( 474 . 38 % & 32 . 74 % ), for case 1, G r ( 19 . 61 % & 598 . 34 % ), D a ( 18 . 10 % & 66 . 56 % ), H a ( 79 . 62 % & 49 . 97 % ), R e ( 41 . 53 % & 0 . 0 % ), and P r ( 442 . 10 % & 29 . 70 % ), for case 2, G r ( 323 . 78 % & 0 . 0 % ), D a ( 08 . 54 % & 53 . 27 % ), H a ( 97 . 22 % & 37 . 92 % ), R e ( 88 . 43 % & 52 . 31 % ), and P r ( 739 . 15 % & 19 . 77 % ), for case 3. The influence of the permeability of the porous medium is prominently observed across various combinations of the considered parameters, resulting in diverse flow patterns. • Studied unsteady natural and mixed convection in porous geometry under a magnetic field . • Three heat source configurations evaluated for thermal performance and Nusselt number variations. • Simulations covered Darcy, Reynolds, Grashof, Richardson, Hartmann, and Prandtl numbers with porous media influence. • Diverse flow patterns and Nusselt number augmentations emerged based on permeability and critical parameters.