Natural Convection Heat Transfer In An Inclind Elliptic Enclosure With Circular Heat Source

The present paper deals with a numerical study of natural convection heat transfer in an inclined annular enclosure filled with Al2O3/water hybrid nanofluid. The cold outer elliptic surface of enclosure is kept at constant temperature TC and the hot inner circular cylinder wall is kept at constant temperature Th. The stream function–vorticity method is used to resolve the governing equations. The prevailing equations are discretized utilizing the way of finite volume and resolved via code of FORTRAN. Validation was completed by comparison the present work with previous results and found to be in excellent agreement. The range of Rayleigh number and volume fraction were 104 ≤ Ra ≤ 106 and 0 ≤ 𝜑 ≤0.1. The angles of inclination were 𝜙= 0o, 45o, and 90o. Results were presented in terms of streamlines, isotherms, and average Nusselt numbers. The angular distribution of local Nusselt number for the inner and outer cylinders depends on Rayleigh number, angles of inclination, and nanoparticles volume fraction.