Three-dimensional numerical analysis of forced convection flow and heat transfer in a curved square duct

Kararlı ve laminer akış şartlarında sabit kare kesit alanına sahip 90o’lik fazlasıyla eğrisel kanal içerisindeki sabit özellikli Newtonsel akışkanın üç boyutlu sayısal analizi üniform duvar sıcaklığı sınır şartı için sunulmuştur. Sayısal sonuçlar 165$leq$De$leq$1450 (250$leq$Re$leq$2200) değerleri için elde edilmiştir. Akışkan olarak hava (Pr$cong$0.7) kullanılmıştır. Eğrisel kanal içerisindeki akış ve ısı transferi performansının tahmininde kullanılabilen ortalama Nusselt sayıları ve ortalama Darcy sürtünme faktörleri elde edilmiştir. Buna ilaveten yerel Nusselt sayıları, yerel Darcy sürtünme faktörleri, hız büyüklük ve sıcaklık profilleri, ve ikincil hızlar analiz edilmiştir. Sonuçlar sayısal yaklaşımın geçerliliği için literatür ile kıyaslanmıştır. Mevcut sonuçların literatür sonuçlar ile uyum içerisinde olduğu görülmüştür.

Bir eğrisel kare kanal içerisindeki zorlanmış konveksiyon akış ve ısı transferinin üç boyutlu sayısal analizi

A three-dimensional numerical study of a constant property Newtonian fluid in 90o strongly curved duct having a constant square cross section under steady and laminar flow conditions is presented for a uniform wall temperature boundary condition. Numerical solutions were obtained using commercial software Ansys Fluent 6.3.26 for the range of 165$leq$De$leq$1450 (250$leq$Re$leq$2200). The working fluid was air (Pr$cong$0.7). The average Nusselt numbers and average Darcy friction factors are obtained, which can be used in estimation of flow and heat transfer performance in curved duct. In addition, local Nusselt numbers, local Darcy friction factors, velocity magnitude and temperature profiles, and secondary velocities are analyzed. Results are compared with the literature for validation of the numerical approach. It is seen that present results are in good agreement with the literature results.

PDF

___

Ansys Fluent Inc. Fluent 6.3.26, User Manuals, 2006.
Bara, B., Nandakumar, K. and Masliyah, J. H., An Experimental and Numerical Study of the Dean Problem: Flow Development Towards Two-Dimensional Multiple Solutions, J. Fluid Mech. 244, 339-376, 1992.
Berger, S. A., Talbor, L. and Yao, L. S., Flow in Curved Pipes, Annu. Rev. Fluid Mech. 35, 462-512, 1983.
Cheng, K. C., Lin, R. C. and Ou, J. W., Graetz Problem in Curved Square Channels, Trans. ASME J. Heat Transfer 97, 244-248, 1975.
Chilukuri, R. and Humphrey, J. A. C., Numerical Computations of Buoyancy Induced Recirculation in Curved Square Duct Laminar Flow, Int. J. Heat Mass Trans. 24, 305-314, 1981.
Chung, J. H. and Hyun, J. M., Convective Heat Transfer in the Developing Flow Region of a Square Duct With Strong Curvature, Int. J. Heat Mass Trans. 35, 2537-2550, 1992.
Freitas, C. J., The Issue of Numerical Uncertainity, Proc. 2nd Int. Conference on CFD in the Minerals and Process Industries, CDIRO, Melbourne, Australia, 1999.
Hille, P., Vehrenkamp, R. and Schulz-Dubois, E. O., The Development and Structure of Primary and Secondary Flow in a Curved Square Duct, J. Fluid Mech. 151, 219-241, 1985.
Humphrey, J. A. C., Taylor, A. M. K. and Whitelaw, J. H., Laminar Flow in a Square Duct of Strong Curvature, J. Fluid Mech. 83, 509-527, 1977.
Hwang, G. J. H. and Chao C. H., Forced Laminar Convection in a Curved Isothermal Square Duct, Trans. ASME J. Heat Transf. 113, 48-55, 1991.
Incropera, F. P. and DeWitt, D. P., Fundamentals of Heat and Mass Transfer (Fifth Ed.), John Wiley & Sons, 2002.
Ito, H., Flow in Curved Pipes, JSME 30, 543-552, 1987.
Mori, Y., Uchida, Y. and Ukon, T., Forced Convective Heat Transfer in a Curved Channel With a Square Cross Section, Int. J. Heat Mass Transf. 14, 1787-1805, 1971.
Naphon, P. and Wongwises, S., A Review of Flow and Heat Transfer Characteristics in Curved Tubes, Renew. Sust. Energy Rev. 10, 463-490, 2006.
Papadopoulos, P. K. and Hatzikonstantinou, P. M., Numerical Analysis of Fully Developed Flow in Curved Square Ducts With Internal Fins, Trans. ASME J. Fluids Eng. 126, 752-757, 2004.
Papadopoulos, P. K. and Hatzikonstantinou, P. M., Thermally Developing Flow in Curved Square Ducts With Internal Fins, Heat Mass Transf. 42, 30-38, 2005.
Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemishere Publishing Company, New York, 1980.
Silva, R. J., Valle, R. M. and Ziviani, M., Numerical Hydrodynamic and Thermal Analysis of Laminar Flow in Curved Elliptic and Rectangular Ducts, Int. J. Therm. Sci. 38, 585-594, 1999.
Soh, W. Y., Developing Fluid Flow in a Curved Duct of Square Cross-Section and its Fully Developed Dual Solutions, J. Fluid Mech. 188, 337-361, 1988.
Versteeg, H. K. and Malalasekra, W., An Introduction to Computational Fluid Dynamics (Second Ed.), Prentice Hall, New York, 2007.
Ward-Simith, A. J., Internal Fluid Flow, The Fluid Dynamics of Flow in Pipes and Ducts, Clarendon Press, Oxford, 1980.
White, F. M., Viscous Fluid Flow (Third Ed.), McGraw Hill, New York, 2006.
Winters, K. H., A Bifurcation Study of Laminar Flow in a Curved Tube of Rectangular Cross-Section, J. Fluid Mech. 180, 343-369, 1987.
Yanase, S., Kaga, Y. and Daikai, R., Laminar Flows Through a Curved Rectangular Duct Over a Wide Range of the Aspect Ratio, Fluid Dynamics Research 31, 151-183, 2002.
Yee, G., Chilukuri, R. and Humphrey, J. A. C., Developing Flow and Heat Transfer in Strongly Curved Ducts of Rectangular Cross Section, Trans. ASME J. Heat Transf. 102, 285-291, 1980.