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Method for calculating the average cross-section pressure distribution in tube flows within the vorticity-streamfunction formulation

Publication ,  Journal Article
Katz, IM; Shaughnessy, EJ; Zhang, Z
Published in: Numerical Heat Transfer, Part B: Fundamentals
January 1, 1992

This article describes an integral method for obtaining the average cross-section pressure distribution in tube flows by using the vorticity-streamfunction formulation. The method derives from the fact that the average cross-section pressure is related in a fundamental way to the power required to move the fluid through the tube. This relationship holds for flows in which the pressure distribution itself is nonuniform across the cross section. The analytical basis for these statements and a discussion of the circumstances in which they are true is given. Numerical calculations of a recirculating venturiflow and a flow in an irregular model coronary artery geometry reveal that in these flows the average cross-section pressure distributions calculated using the integral method are similar to the cen-terline and wall pressure distributions obtained from a full primitive-variable calculation based on the finite-element method and to wall pressure data obtained experimentally. This can be attributed to the nearly uniform pressure distributions that occur in tube flows with a low rate of change of cross-sectional area with distance. © 1992 by Hemisphere Publishing Corporation.

Duke Scholars

Published In

Numerical Heat Transfer, Part B: Fundamentals

DOI

EISSN

1521-0626

ISSN

1040-7790

Publication Date

January 1, 1992

Volume

22

Issue

3

Start / End Page

349 / 365

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 4004 Chemical engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics
 

Citation

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Katz, I. M., Shaughnessy, E. J., & Zhang, Z. (1992). Method for calculating the average cross-section pressure distribution in tube flows within the vorticity-streamfunction formulation. Numerical Heat Transfer, Part B: Fundamentals, 22(3), 349–365. https://doi.org/10.1080/10407799208944988
Katz, I. M., E. J. Shaughnessy, and Z. Zhang. “Method for calculating the average cross-section pressure distribution in tube flows within the vorticity-streamfunction formulation.” Numerical Heat Transfer, Part B: Fundamentals 22, no. 3 (January 1, 1992): 349–65. https://doi.org/10.1080/10407799208944988.
Katz IM, Shaughnessy EJ, Zhang Z. Method for calculating the average cross-section pressure distribution in tube flows within the vorticity-streamfunction formulation. Numerical Heat Transfer, Part B: Fundamentals. 1992 Jan 1;22(3):349–65.
Katz, I. M., et al. “Method for calculating the average cross-section pressure distribution in tube flows within the vorticity-streamfunction formulation.” Numerical Heat Transfer, Part B: Fundamentals, vol. 22, no. 3, Jan. 1992, pp. 349–65. Scopus, doi:10.1080/10407799208944988.
Katz IM, Shaughnessy EJ, Zhang Z. Method for calculating the average cross-section pressure distribution in tube flows within the vorticity-streamfunction formulation. Numerical Heat Transfer, Part B: Fundamentals. 1992 Jan 1;22(3):349–365.

Published In

Numerical Heat Transfer, Part B: Fundamentals

DOI

EISSN

1521-0626

ISSN

1040-7790

Publication Date

January 1, 1992

Volume

22

Issue

3

Start / End Page

349 / 365

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 4004 Chemical engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics