Effects of magnetic field on mixed convection around a rotating cylinder inside a corner heated lid-driven enclosure filled with nanofluid

Abstract

The mixed convection flow and heat transfer characteristics inside a partially heated lid- driven enclosure with magnetic field, rotating solid circular cylinder at the center of the enclosure have been investigated numerically. The right-bottom and bottom-right wall are heated and the left wall, bottom-left wall and right-upper wall are adiabatic where the top wall is cold and lid-driven. The physical problems are represented mathematically by different sets of governing equations along with the corresponding initial and boundary conditions using a class of appropriate transformations. The governing equations along with the initial and boundary conditions are transformed into non-dimensional form, which are then solved by employing a finite element scheme based on the Galerkin method of weighted residuals. Results are presented in terms of streamlines, isotherms, average Nusslet number and average fluid temperature inside the enclosure for different combinations of the governing parameters namely Reynolds number (31.623-316.23), Grashof number (〖10〗^3-〖10〗^5), Richardson number (0.1 - 10), Hartman number (5.623-17.783), Stuart number (0.316-3.162), length of heating source are (1/3, 1/2 and 2/3), Joule heating parameter (0 - 6.479×10−8) and the solid volume fraction (0 and 0.04). The results having five cases indicate that the flow and thermal fields as well as the heat transfer rate and thermophysical properties in the enclosure depend significantly on the above mentioned parameters.