Abstract:
Double-diffusive natural convection in a porous triangular enclosure filled with
nanofluid in presence of magnetic field and heat generation is studied numerically. The
bottom wall of the cavity is heated uniformly and higher concentrated, the left inclined
wall is non-isothermal and non-isoconcentrated and the right inclined wall is cold and
lower concentrated. A magnetic field is applied along the negative -axis direction. The
enclosure is filled with –water nanofluid which is electrically conducted fluid so
that the magnetic field effect is noticeable. The physical problem is presented
mathematically by different set of governing equations along with the corresponding
initial and boundary conditions. Using a class of appropriate transformations, the
governing equations along with the corresponding initial and boundary conditions are
transformed into non-dimensional form, which are then solved by employing a finite
element method based on the Galerkin Weighted Residual technique. Numerical
calculation is carried out for different parameters namely, Heat generation parameter
(0 ≤ ≤ 20), Lewis number (0.1 ≤ ≤ 20), Buoyancy ratio (−10 ≤ ≤ 10),
Solid volume fraction (0 ≤ ≤ 0.2), Hartmann number (0 ≤ ≤ 120) and thermal
Rayleigh number (10 ≤ ≤ 10). The velocity profile as streamlines, temperature
distribution as isothermal lines, mass distribution as isoconcentration lines, the heat and
mass transfer in terms of average Nusselt number and average Sherwood number inside
the cavity are shown graphically.
