The laminar incompressible flow in a curved square duct with two or four internal longitudinal fins is studied numerically with the SIMPLE method. The results show an increase of the friction factor depending on the fin height and the Dean number. The visualization of the flow reveals the existence of complex flow patterns in the transverse plane of the channel, where up to ten vortices are found to form. The effect of the curvature on the friction factor is examined and a functional relation for the latter is developed in terms of the Dean number and the fin height.
Issue Section:
Technical Papers
Keywords:
pipe flow,
laminar flow,
friction,
flow visualisation,
channel flow,
vortices,
numerical analysis
1.
Cheng
, K. C.
, Lin
, R. C.
, and Ou
, J. W.
, 1976
, “Fully Developed Laminar Flow in Curved Rectangular Channels
,” ASME J. Fluids Eng.
, 98
, pp. 41
–48
.2.
Hwang
, G. J.
, and Chao
, C. H.
, 1991
, “Forced Laminar Convection in a Curved Isothermal Duct
,” ASME J. Heat Transfer
, 113
, pp. 48
–56
.3.
Ghia
, K. N.
, Ghia
, U.
, and Shih
, C. T.
, 1987
, “Study of Fully Developed Incompressible Flow in Curved Ducts Using a Multigrid Technique
,” ASME J. Fluids Eng.
, 109
, pp. 226
–235
.4.
Thangum
, S.
, and Hur
, N.
, 1990
, “Laminar Secondary Flows in Curved Rectangular Ducts
,” J. Fluid Mech.
, 217
, pp. 421
–440
.5.
Sakalis, V. D., and Hatzikonstantinou, P. M., 2002, “Predictions and Accuracy of the CVP Numerical Method for the Developed Laminar Flow in Curved Ducts,” in Proceedings of the 4th GRACM Congress on Computational Mechanics, University of Patras, pp. 1400–1406.
6.
Hille
, P.
, Vehrenkamp
, R.
, and Schulz-Dubois
, E. O.
, 1985
, “The Development and Structure of Primary and Secondary Flow in a Curved Square Duct
,” J. Fluid Mech.
, 151
, pp. 219
–241
.7.
Bara
, B.
, Nandakumar
, K.
, and Masliyah
, J. H.
, 1992
, “An Experimental and Numerical Study of the Dean Problem: Flow Development Towards Two-Dimensional Multiple Solutions
,” J. Fluid Mech.
, 224
, pp. 339
–376
.8.
Winters
, K. H.
, 1987
, “A Bifurcation Study of Laminar Flow in a Curved Tube of Rectangular Cross-Section
,” J. Fluid Mech.
, 180
, pp. 343
–369
.9.
Shantini
, W.
, and Nandakumar
, K.
, 1986
, “Bifurcation Phenomena of Generalized Newtonian Fluids in Curved Rectangular Ducts
,” J. Non-Newtonian Fluid Mech.
, 22
, pp. 35
–59
.10.
Soh
, W. Y.
, 1988
, “Developing Fluid Flow in a Curved Duct of Square Cross-Section and Its Fully Developed Dual Solutions
,” J. Fluid Mech.
, 188
, pp. 337
–361
.11.
Sakalis
, V. D.
, and Hatzikonstantinou
, P. M.
, 2001
, “Laminar Heat Transfer in the Entrance Region of Internally Finned Square Ducts
,” ASME J. Heat Transfer
, 123
, pp. 1030
–1034
.12.
Aggarwala
, B. D.
, and Gangal
, M. K.
, 1976
, “Heat Transfer in Rectangular Ducts With Fins From Opposite Walls
,” Z. Angew. Math. Mech.
, 56
, pp. 253
–266
.13.
Mori
, Y.
, and Nakayama
, W.
, 1965
, “Study on Forced Convective Heat Transfer in Curved Pipes
,” Int. J. Heat Mass Transfer
, 8
, pp. 67
–82
.14.
Bolinder
, C. J.
, 1993
, “Numerical Visualization if the Flow in a Helical Duct of Rectangular Cross-Section
,” Exp. Numer. Flow Visual. ASME
, 172
, pp. 329
–338
.15.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw–Hill, New York.
16.
Papadopoulos, P. K., and Hatzikonstantinou, P. M., 2002, “Effects of Various Numerical Methods on the Formation of the Secondary Flow in a Curved Square Duct,” in Proceedings of the 4th GRACM Congress on Computational Mechanics, edited by D. T. Tsahalis, University of Patras, pp. 750–758.
17.
Ebadian, M. A., and Dong, Z. F., 1998, “Forced Convection, Internal Flow in Ducts,” in Handbook of Heat Transfer, W. M. Rohsenow, J. P. Hartnett, and Y. I. Cho, Eds., McGraw–Hill, New York, pp. 5.101–5.105.
Copyright © 2004
by ASME
You do not currently have access to this content.
