Physical specifications of MHD mixed convective of Ostwald-de Waele nanofluids in a vented-cavity with inner elliptic cylinder

The present work investigates heat transmission and stable MHD (magneto-hydrodynamic) mixed convective flowing in a ventilated porous enclosed space with a heated elliptic inner cylinder filled with MWCNT (multi-wall carbon nanotube)/CMC (carboxymethylcellulose) nanofluid. The enclosure is surrounded by a homogeneous magnetic field. By employing Galerkin finite element method (GFEM), the governing equations are confirmed. Simulations are performed for various ranges of pertinent parameters such as power law index (between 0.8 and 1.4), Hartmann number (between 0 and 100), elliptic cylinder inclination (between 0∘ and 90∘), and Richardson number (between 0.1 and 100). The numerical findings are given in bounds of isotherms, Nusselt numbers, and streamlines, which are critical governing factors for heat convective and enclosure flow. The data demonstrate that average Nusselt numbers Nuavg increases when Richardson number Ri and porosity ratio, increases. Hartman number works with the induced Lorentz force to make fluidity dominates the lower-level fluidity in the enclosure which reflects in isothermal displays. Even if the higher power law indexing operates against the fluidity by triggering shear force, it appears to be constructive in terms of heat transmission.