Numerical Analysis of Nano-Encapsulated PCM Convection in Partially Porous Annular Cavities: MHD And Soret-Dufour Effects

Double Diffusive Natural Convection of The Nano-Encapsulated Phase Change Material in A Circular Cavity with Partial Porous Foam and Fins Has Been Searched in This Paper. Furthermore, This Study Considered the Influences of The Magnetohydrodynamic, Soret and Dufour and The Governing Equations Have Been Solved by Applying the Finite Element Method. The Variables with Different Values That Have Been Studied in This Research Are Rayleigh Number (103−105), Darcy Number (10−4−10−2), Fusion Temperature (0.1−0.9), Stefan Number (0.1−0.5), Lewis Number (0.1−10), Bouncy Ratio (1−3), Hartmann Number (0−80), Soret Number (0.1−0.5) And Dufour Number (0.1−0.5) While Prandtl Number Has Kept Constant At 6.2. The Main Findings Have Stated That Decreasing Darcy Number From 0.1 To 0.0001 Leads to A Reduction in Average Values of Nusselt and Sherwood by 31 % (From 5.9449 To 4.7883) And 30 % (From 2.4538 To 1.7162) Respectively, At Ra=105. Also, Mass and Heat Transfer Both Increase with The Increase of The Ra Number Where Both Values of Nusselt and Sherwood Increase by Approximately 80 % (Nuav From 3.2612 To 5.8939) And 100 % (Shav From 1.2109 To 2.4246) Respectively, By Increasing Ra From 103 To 105 At Φ=0.01. In Contrast, The Increase of The Fusion Temperature From 0.1 To 0.9 Has A Less Pronounced Effect on Heat and Mass Transfer, With Variations of Up To 6 % For Nuav And 5 % For Shav, But It Dramatically Influences the Melting Solidification Region Location. Furthermore, The Presence of Magnetohydrodynamics Negatively Influences the Mass and Heat Transfer, With Increases in Hartmann Number From 5 To 80 Resulting in Decreases Of Up To 26 % In Nuav (From 3.4898 To 3.2627) And 35 % In Shav (From 1.3681 To 1.2132) At Ra=104.