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A non-field analytical method for solving problems in aero-acoustics.

Vladimir Kulish1, Jiří Nožička2, Jakub Suchý2

  • 1Department of Fluid Mechanics and Thermodynamics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Technická 4, 166 07, Prague 6, Czech Republic. vladimir.kulish@fs.cvut.cz.

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A novel analytical method, the Kulish method, is now applied to aeroacoustics. This method derives an integral relation between acoustic pressure and velocity perturbation for axisymmetric geometries.

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Area of Science:

  • Acoustics
  • Fluid Dynamics
  • Mathematical Physics

Background:

  • The Kulish method, developed in 2000, offers analytical solutions for energy and information transport problems.
  • It utilizes Laplace transforms to derive integral equations relating intensive properties to their derivatives.
  • The method has demonstrated high efficiency in various transport phenomena over two decades.

Purpose of the Study:

  • To apply the Kulish method to aeroacoustic problems for the first time.
  • To derive a new integral relation for acoustic phenomena.
  • To establish the method's applicability in aeroacoustics.

Main Methods:

  • Application of the Kulish method, based on Laplace transform techniques.
  • Derivation of closed-form solutions in the form of integral equations.
  • Analysis of axisymmetric cases in planar, cylindrical, and spherical geometries.

Main Results:

  • An integral relation connecting local acoustic pressure and velocity perturbation has been established.
  • The derived relation is applicable to axisymmetric aeroacoustic problems.
  • Demonstrates the efficacy of the Kulish method in a new scientific domain.

Conclusions:

  • The Kulish method is effectively extended to aeroacoustic applications.
  • A novel integral relation provides a new analytical tool for axisymmetric aeroacoustic phenomena.
  • This work highlights the versatility and power of the Kulish method in complex physical transport problems.