NEW BOUNDED SKEW CENTRAL DIFFERENCE SCHEME, PART II: APPLICATION TO NATURAL CONVECTION IN AN ECCENTRIC ANNULUS

Abstract

The bounded skew central difference scheme (NVF SCDS) [1] is used to study numerically the combined effect of vertical (ε_y) and horizontal (ε_x) eccentricities on natural convection in an annubis between a heated horizontal cylinder and its square enclosure. Four Rayleigh numbers (Ra = 10³, 10⁴, 10⁵;, and 10⁶), three aspect ratios (R/L = 0.1, 0.2, and 0.3), and eccentricity values ranging from —0.3 to 0.3 art considered. At constant enclosure aspect ratio, the total heal transfer increases with increasing Rayleigh number. For constant Raykigh-number values, convection contribution to total heat transfer decreases with increasing values of R/L. For conduction-dominated flows, heat transfer increases with increasing |ε_y| and / or |ε_x|. For convection-dominated flows, heat transfer increases with decreasing ε_y for ε_y < 0, decreases with increasing ε_y for ε_y > 0, and decreases with decreasing ε_y for ε_x < 0. For the cast when conduction and convection are of equal importance, there is a critical ε_x for which the total heat transfer is minimum.

Notes

Address correspondence to Professor Fadl Moukalled, Department of Mechanical Engineering, American University of Beirut, P.O. Box 11-0236, Beirut, Lebanon. E-mail: [email protected]