Effects of radiation and heat generation on MHD mixed convection in a double lid-driven inclined wavy porous cavity filled with non-Newtonian nanofluid and including a cross-shape heaters

The steady MHD mixed convection in an inclined wavy 2D cavity is studied numerically in the current paper. The vertical walls of the cavity are wavy and differentially heated. The horizontal walls are adiabatic and driven in the x-direction. The cavity domain is considered porous and filled with a non-Newtonian nanofluid and an external magnetic field. Inside the cavity, cross-shape heaters are included. In the present work, the governing parameter is ranged as Hartmann number (0 ≤ Ha ≤ 1000), dimensionless length of the heat source (0.2 ≤ B ≤ 0.8), number of undulations (0 ≤ (Formula presented.) ≤ 2), dimensionless location of the heat source (0.3 ≤ D ≤ 0.7), thermal conductivity ratio (0 ≤ K_r ≤ 10), vortex to molecular viscosity ratio (0.1 ≤ (Formula presented.) ≤ 5), Nield number (0 ≤ (Formula presented.) ≤ 1000), heat generation/absorption parameter ((Formula presented.) ≤ (Formula presented.) ≤ (Formula presented.)), radiation parameter (0 ≤ R_d ≤ 5), Darcy number (10⁻¹≤ Da ≤ 10⁻⁵), and solid volume fraction (0 ≤ (Formula presented.) ≤ 0.1). It was found that the heat transfer decreases with the increase of (K_r), (B), and (Da). It increases with the increase of ((Formula presented.)), ((Formula presented.)), ((Formula presented.)), (Ha), and ((Formula presented.)). But it remains approximately the same with the increase of ((Formula presented.)). While (Nu_ms) remains invariant with the increase of ((Formula presented.)).