# vol14no3pa8

References

[1] Teertstra, P. and Yovanovich, M. M., “Comprehensive Review of Natural convection In Horizontal Circular Annuli”. www.mhtl.uwaterloo.ca, 1 998.
[2] Kuehn, T. H. and Goldstein, R. J.; “A Parametric Study of Prandtl Number and Diameter Ratio Effect on Natural Convection Heat Transfer in Horizontal cylindrical Annuli”, Trans. ASME, J. Fluid Mech., vol.71, part 2, pp. 231-24, November, 1980.

[3] الشمري, منار صالح, “دراسة نظرية وعملية لإنتقال الحرارة بالحمل الحر خلال فجوتين بين إسطوانتين متحدتي المركز مائلة”, إطروحة ماجستير, جامعة تكريت, 2005

[4]  الجميلي, خلف ابراهيم حماده, “دراسة نظرية وعملية لإنتقال الحرارة بالحمل الحر خلال فجوة بين إسطوانتين افقيتين غير متحدتي المركز”, إطروحة ماجستير, جامعة تكريت, 2005,

[5] Bird, R. B., Stervart, W. E., and Lightfoot, E. N.; ” transport Phenomena”, Johan Wiley, & Sons, Inc., 1960.

Tikrit Journal of Engineering Sciences (2007) 14(3) 25-41

Natural Convection Heat Transfer Through an Interface Separating Two Fluids in An Horizontal Annulus

 Maki H. Khalaf Mechanical Eng. Dept., Tikrit University, Iraq

Abstract

In this research a theoretical study for laminar steady natural convection heat transfer through concentric horizontal annulus heated from inside, it’s contain two different fluids (pr1:0.7, pr2:7.0) for radius ratio (5) and for Gr numbers (102-105). A vorticity stream function formula was used in the numerical solution by transforming the governing differential equations into this formula, then turned into algebraic equations solved numerically using (Explicit Successive Over Relaxation finite deference method). To declare the movement of the fluids and the distribution of the temperatures through each of them counters for both streamlines and isotherms through the annulus were used, also the results contain calculating the distribution, of local Nu number along the internal cylinder inside the annulus, also a correlation was found to estimate the amount of heat transfer for both fluids. Through this research it’s found that two separating flows forming above and under the separating interface, also it’s found that the highest local Nu number accrue at the separating interface.