An analytical solution for Dean flow in curved ducts with rectangular cross section

被引：39

作者：

Norouzi, M. ^{[1
]}

Biglari, N. ^{[1
]}

机构：

[1] Mechanical Engineering Department, Shahrood University of Technology, Shahrood

来源：

Norouzi, M. | 1600年 / American Institute of Physics Inc.卷 / 25期

关键词：

D O I：

10.1063/1.4803556

中图分类号：

学科分类号：

摘要：

In this paper, a full analytical solution for incompressible flow inside the curved ducts with rectangular cross-section is presented for the first time. The perturbation method is applied to solve the governing equations and curvature ratio is considered as the perturbation parameter. The previous perturbation solutions are usually restricted to the flow in curved circular or annular pipes related to the overly complex form of solutions or singularity situation for flow in curved ducts with non-circular shapes of cross section. This issue specifies the importance of analytical studies in the field of Dean flow inside the non-circular ducts. In this study, the main flow velocity, stream function of lateral velocities (secondary flows), and flow resistance ratio in rectangular curved ducts are obtained analytically. The effect of duct curvature and aspect ratio on flow field is investigated as well. Moreover, it is important to mention that the current analytical solution is able to simulate the Taylor-Görtler and Dean vortices (vortices in stable and unstable situations) in curved channels. © 2013 AIP Publishing LLC.

引用

共 31 条

[1]

Miyazaki H., Combined free and force convective heat transfer and fluid flow in a rotating curved circular tube, Int. J. Heat Mass Transfer, 14, (1971)

[2]

Ludwieg H., Die Ausgebildetekanalstromung in einemrotierendenSystem, Ing.-Arch., 19, (1951)

[3]

Winters K.H., A bifurcation study of laminar flow in a curved tube of rectangular cross-section, J. Fluid Mech., 180, (1987)

[4]

Wang L.Q., Chang K.C., Flow transition and combined free and forced convective heat transfer in rotating curved channels: the case of positive rotation, Phys. Fluids, 8, (1996)

[5]

Ishigaki H., Fundamental characteristics of laminar flows in a rotating curved pipe, Trans. JSME, 59, 1, (1993)

[6]

Zhang J., Zhang B., Ju J., Fluid flow in a rotating curved rectangular duct, Int. J. Heat Fluid Flow, 22, (2001)

[7]

Nursubyakto T.T.C., Numerical prediction of secondary flow and convective heat transfer in externally heated curved rectangular ducts, Int. J. Therm. Sci., 42, (2002)

[8]

Yanase S., Kaga Y., Daikai R., Laminar flows through a curved rectangular curved duct over a wide range of aspect ratio, Fluid Dyn. Res., 31, (2002)

[9]

Zhiming L., Yulu L., A calculation method for fully developed flows in curved rectangular tubes, Appl. Math. Mech., 18, (1997)

[10]

Boutabaa M., Helin L., Mompean G., Thais L., Numerical study of Dean vortices in developing Newtonian and viscoelastic flows through a curved duct of square cross-section, C. R. Mec., 337, (2009)

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