Effect of dual-rotation on MHD natural convection of NEPCM in a hexagonal-shaped cavity based on time-fractional ISPH method

The time-fractional derivative based on the Grunwald-Letnikove derivative of the 2D-ISPH method is applying to emulate the dual rotation on MHD natural convection in a hexagonal-shaped cavity suspended by nano-encapsulated phase change material (NEPCM). The dual rotation is performed between the inner fin and outer hexagonal-shaped cavity. The impacts of a fractional time derivative alpha (0.92 <= alpha <= 1), Hartmann number Ha (0 <= H alpha <= 80), fin length (0.2 <= L-Fin <= 1), Darcy parameter Da (10(-2) <= Da <= 10(-4) ), Rayleigh number Ra (10(3) <= Ra <= 10(6)), fusion temperature theta(f) (0.05 <= theta(f )<= 0.8), and solid volume fraction phi (0 <= phi <= 0.06) on the velocity field, isotherms, and mean Nusselt number (Nu) over bar are discussed. The outcomes signaled that a dual rotation of the inner fin and outer domain is affected by a time-fractional derivative. The inserted cool fin is functioning efficiently in the cooling process and adjusting the phase change zone within a hexagonal-shaped cavity. An increment in fin length augments the cooling process and changes the location of a phase change zone. A fusion temperature theta(f) adjusts the strength and position of a phase change zone. The highest values of (Nu) over bar are obtained when alpha = 1. An expansion in Hartmann number Ha reduces the values of (Nu) over bar. Adding more concentration of nanoparticles is improving the values of (Nu) over bar.

Automated summary

The time-fractional derivative based on the Grunwald-Letnikove derivative is applied to simulate dual rotation in a hexagonal-shaped cavity suspended by nano-encapsulated phase change material (NEPCM). The impacts of various parameters on velocity field, isotherms, and mean Nusselt number (Nu) over bar are discussed. The findings indicate that the time-fractional derivative affects the dual rotation, and variables like fin length and fusion temperature can significantly influence the cooling process and phase change zone.