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A calculation method for fully developed flows in curved rectangular tubes

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Abstract

In this paper, A method, consisted of perturbation method, Garlerkin method and finite-difference method, is designed to calculate fully developed flows in curved tubes of rectangular cross-section. It costs less computation than that of direct solving N-S equations, and prevents from building high-order difference equations and extra dealing with the boundary conditions. Numerical results in the situation of small curvature and low Dean number is in accordance with former's numerical and experimental results in quality, and it shows the feasibility of this paper's method.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P.R. China

    Lu Zhiming & Liu Yulu

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  1. Lu Zhiming
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  2. Liu Yulu
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Zhiming, L., Yulu, L. A calculation method for fully developed flows in curved rectangular tubes. Appl Math Mech 18, 315–320 (1997). https://doi.org/10.1007/BF02457545

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  • DOI: https://doi.org/10.1007/BF02457545

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