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Developing oscillatory flow in a circular pipe: a new solution.

R J Cen1, B S Liu, N H Hwang

  • 1Department of Engineering Mechanics, South China Institute of Technology, Guangzhou.

Journal of Biomechanical Engineering
|November 1, 1987
PubMed
Summary
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This study simplifies oscillatory flow calculations in pipes using Bessel functions, offering a more convenient method than previous approaches. The new formulas are validated against established data and experimental results.

Area of Science:

  • Fluid Dynamics
  • Computational Mechanics

Background:

  • Oscillatory flow in circular pipes is a complex phenomenon.
  • Previous methods, like Atabek's, require intricate procedures for flow field computations.

Purpose of the Study:

  • To present a simplified and more convenient method for analyzing oscillatory pipe flow.
  • To derive new solution formulas for velocity and pressure distributions.

Main Methods:

  • Solving the Navier-Stokes equations using the imaginary argument of the Bessel function.
  • Developing a new set of solution formulas for oscillatory pipe flow.

Main Results:

  • The derived formulas are simpler and more convenient for flow computations.
  • Numerical results align with Atabek's established formulas.

Related Experiment Videos

  • Computed results are consistent with experimental measurements.

    • Conclusions:

    • The proposed Bessel function method offers a significant improvement in ease of use for oscillatory pipe flow analysis.
    • The new formulas provide accurate predictions validated by existing data and experiments.