Browse > Article
http://dx.doi.org/10.3795/KSME-B.2013.37.10.941

Numerical Study of Laminar Flow and Heat Transfer in Curved Pipe Flow  

Kang, Changwoo (Dept. of Mechanical Engineering, Inha Univ.)
Yang, Kyung-Soo (Dept. of Mechanical Engineering, Inha Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.37, no.10, 2013 , pp. 941-951 More about this Journal
Abstract
A three dimensional numerical simulation of laminar flow and heat transfer in fully developed curved pipe flow has been performed to study the effects of Dean number and pipe curvature on the flow and temperature fields under the thermal boundary condition of axially uniform wall heat flux. The Reynolds number under consideration ranges from 100 to 4000, and the Prandtl number is 0.71. The curvature ratios are 0.01, 0.025, 0.05 and 0.1. The axial velocity and temperature profiles and the local Nusselt number obtained from the present study are in good agreement with the previous numerical and experimental results currently available. To show the effects of pipe curvature on the flow and heat transfer, the resistance coefficients and heat transfer coefficients are computed and compared with the results of the previous theoretical and experimental studies. The averaged Nusselt number is correlated with Dean and Prandtl numbers. Furthermore, the critical Reynolds number for transition to turbulent flow is observed to depend upon the curvature ratio.
Keywords
Curved Pipe Flow; Heat Transfer; Curvature;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Dravid, A. N., Smith, K. A., Merrill, E. W. and Brian, P. L. T., 1971, "Effect of Secondary Fluid Motion on Laminar Flow Heat Transfer in Helically Coiled Tubes," AIChE J., Vol. 17, pp. 1114-1122.   DOI
2 Prusa, J. and Yao, L. -S., 1982, "Numerical Solution for Fully Developed Flow in Heated Curved Tubes," J. Fluid Mech., Vol. 123, pp. 503-522.   DOI   ScienceOn
3 Boersma, B. J. and Nieuwstadt, F. T. M., 1996, "Large-Eddy Simulation of Turbulent Flow in a Curved Pipe," ASME J. Fluids Eng., Vol. 118, pp. 248-254.   DOI   ScienceOn
4 Boersma, B. J., 1997, Electromagnetic Effects in Cylindrical Pipe Flow, Ph.D. Thesis, Delft University Press.
5 Huttl, T. J., Wagner, C. and Friedrich, R., 1999, "Navier-Stokes Solutions of Laminar Flows Based on Orthogonal Helical Coordinates," Int. J. Numer. Meth. Fluids, Vol. 29, pp. 749-763.   DOI
6 Huttl, T. J. and Friedrich, R., 2000, "Influence of Curvature and Torsion on Turbulent Flow in Helically Coiled Pipes," Int. J. Heat Fluid Flow, Vol. 21, pp. 345-353.   DOI   ScienceOn
7 Huttl, T. J. and Friedrich, R., 2001, "Direct Numerical Simulation of Turbulent Flows in Curved and Helically Coiled Pipes," Comput. Fluids, Vol. 30, pp. 591-605.   DOI   ScienceOn
8 Batchelor, G. K., 1970, An Introduction to Fluid Mechanics, Appendix 2, Cambridge University Press.
9 Akselvoll, K. and Moin, P., 1996, "An Efficient Method for Temporal Integration of the Navier-Stokes Equation in Confined Axisymmetric Geometries," J. Comput. Phys., Vol. 125, pp. 454-463.   DOI   ScienceOn
10 Kim, J. and Moin, P., 1985, "Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations," J. Comput. Phys., Vol. 59, pp. 308-323.   DOI   ScienceOn
11 Patankar, S. V., Liu, C. H. and Sparrow, E. M., 1977, "Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area," ASME J. Heat Transfer, Vol. 99, pp. 180-186.   DOI
12 White, C. M., 1929, "Streamline Flow Through Curved Pipes," Proc. R. Soc., Vol. 123, pp. 645-663.   DOI
13 Ito, H., 1969, "Laminar Flow in Curved Pipes," Z. Angew. Math. Mec., Vol. 49, pp. 653-663.   DOI
14 Collins, W. M. and Dennis, S. C. R., 1975, "The Steady Motion of a Viscous Fluid in a Curved Tube," Q. J. Mech. Appl. Math., Vol. 28, pp. 133-156.   DOI   ScienceOn
15 Wang, C. Y., 1981, "On the Low-Reynolds-Number Flow in a Helical Pipe," J. Fluid Mech., Vol. 108, pp. 185-194.   DOI   ScienceOn
16 Dennis, S. C. R. and Ng, M., 1982, "Dual Solutions for Steady Laminar Flow Through a Curved Tube," Q. J. Mech. Appl. Math., Vol. 35, pp. 305-324.   DOI   ScienceOn
17 Germano, M., 1982, "On the Effect of Torsion on a Helical Pipe Flow," J. Fluid Mech., Vol. 125, pp. 1-8.   DOI   ScienceOn
18 Germano, M., 1989, "The Dean Equations Extended to a Helical Pipe Flow," J. Fluid Mech., Vol. 203, pp. 289-305.   DOI   ScienceOn
19 Berger, S. A., Talbot, L. and Yao, L.-S., 1983, "Flow in Curved Pipe," Ann. Rev. Fluid Mech., Vol. 15, pp. 461-512.   DOI   ScienceOn
20 Ito, H., 1987, "Flow in Curved Pipes," JSME Int. J., Vol. 30, pp. 543-552.   DOI   ScienceOn
21 Akiyama, M. and Cheng, K. C., 1971, "Boundary Vorticity Method for Laminar Forced Convection Heat Transfer in Curved Pipes," Int. J. Heat Mass Transfer, Vol. 14, pp. 1659-1675.   DOI   ScienceOn
22 Kalb, C. E. and Seader, J. D., 1972, "Heat and Mass Transfer Phenomena for Viscous Flow in Curved Circular Tubes," Int. J. Heat Mass Transfer, Vol. 15, pp. 801-817.   DOI   ScienceOn
23 Kalb, C. E. and Seader, J. D., 1974, "Fully Developed Viscous-Flow Heat Transfer in Curved Circular Tubes with Uniform Wall Temperature," AIChE J., Vol. 20, No. 2, pp. 340-346.   DOI   ScienceOn
24 Patankar, S. V., Pratap, V. S. and Spalding, D. B., 1974, "Prediction of Laminar Flow and Heat Transfer in Helically Coiled Pipes," J. Fluid Mech., Vol. 62, pp. 539-551.   DOI
25 Yao, L. -S. and Berger, S. A., 1978, "Flow in Heated Curved Pipes," J. Fluid Mech., Vol. 88, pp. 339-354.   DOI   ScienceOn
26 Zapryanov, Z., Christov, C. and Toshev, E., 1980, "Fully Developed Laminar Flow and Heat Transfer in Curved Tubes," Int. J. Heat Mass Transfer, Vol. 23, pp. 873-880.   DOI   ScienceOn
27 Mori, Y. and Nakayama, W., 1967, "Study on Forced Convective Heat Transfer in Curved Pipes (2nd Report, Turbulent region)," Int. J. Heat Mass Transfer, Vol. 10, pp. 37-59.   DOI   ScienceOn
28 Adler, M., 1934, "Stromung in Gekrummten Rohren," Z. Angew. Math. Mec., Vol. 14, pp. 257-275.   DOI
29 Ito, H., 1959, "Friction Factors for Turbulent Flow in Curved Pipes," J. Basic Eng., Vol. 81, pp. 123-134.
30 Mori, Y. and Nakayama, W., 1965, "Study on Forced Convective Heat Transfer in Curved Pipes (1st Report, Laminar region)," Int. J. Heat Mass Transfer, Vol. 8, pp. 67-82.   DOI   ScienceOn
31 Mori, Y. and Nakayama, W., 1967, "Study on Forced Convective Heat Transfer in Curved Pipes (3rd Report, Theoretical analysis under the Condition of Uniform Wall Temperature and Practical Formulae)," Int. J. Heat Mass Transfer, Vol. 10, pp. 681-695.   DOI   ScienceOn