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Calculating the total resistance for a tube with a variable cross section

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Abstract

A study has been made on the decisive effect from the exit cone on the total resistance of a variable cross section tube composed of alternating divergent and convergent parts, whose radii vary on a cosine law. Numerical calculations have been performed for steady-state stabilized laminar flow of a viscous incompressible liquid. The frictional and pressure resistance coefficients have been calculated. The contribution from those resistances to the total resistance has been examined.

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References

  1. I. L. Povkh, Engineering Hydromechanics [in Russian], Leningrad (1976).

  2. I. L. Povkh, N. V. Finoshin, and V. V. Gutnik, A Numerical Study on Flows in Variable-Section Tubes [in Russian], Donetsk (1986), 16 pp. Dept. Ukr. NIINTI on 10 July 1986, No. 1652 UK-D86.

  3. I. L. Povkh, N. V. Finoshin, and V. V. Gutnik, Resistance in Laminar Flow in Tubes with Periodically Varying Cross Sections [in Russian], Donetsk (1986), 18 pp. Dep. Ukr. NIINTI on 15 September 1986, No. 2166 UK-D86.

  4. A. A. Samarskii, Difference-Scheme Theory [in Russian], Moscow (1977).

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Donetsk. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 120–124, 1990.

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Povkh, I.L., Finoshin, N.V. Calculating the total resistance for a tube with a variable cross section. J Math Sci 68, 730–733 (1994). https://doi.org/10.1007/BF01249417

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  • DOI: https://doi.org/10.1007/BF01249417

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