Bouyancy Driven in An inclind CIrcular Enclosure with Elliptic Heat Source

Numerical study of buoyancy driven in an inclined enclosure filled with Al2O3/water nanofluid was carried out. The cold outer circular wall and hot inner elliptic wall of enclosure were maintained at constant temperature TC and Th; respectively. The stream function–vorticity method was used to solve the prevailing calculations which are discretized using the way of finite volume and then resolved via code of FORTRAN. Validation was performed by comparison the current results with previous results and found to be in excellent agreement. The study coved wide ranges of Rayleigh number (104 ≤Ra ≤ 106) and volume fraction were (0 ≤ 𝜑 ≤0.2) with different angles of inclination 𝜙= 0o (horizontal position), 30o, 60o, and 90o (vertical position). Results were presented in terms of streamlines, isotherms, local and average Nusselt numbers. The maximum average Nusselt number is obtained by using nanofluids and it is more pronounced at high Rayleigh numbers. Moreover, the heat transfer rates enhance at higher Rayleigh numbers as the angle of inner cylinder inclination increases. While, at low Rayleigh numbers, there is no effect for changing angle of inclination on the heat transfer process.