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Abstract <p>The problems of laminar jets that admit self-similar solutions are considered. A method for determining the self-similarity parameter is proposed based on the condition of existence of a solution to equations in self-similar variables under given boundary conditions with only a single self-similarity parameter. In problems of plane free and wall jets the self-similarity parameters are determined analytically. In the problem of a three-dimensional wall jet, the self-similarity parameter is determined using a neural network.</p>

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On Self-Similarity of Laminar Jets

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月1日

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  • A. M. Gaifullin,
  • A. S. Shcheglov

摘要

Abstract

The problems of laminar jets that admit self-similar solutions are considered. A method for determining the self-similarity parameter is proposed based on the condition of existence of a solution to equations in self-similar variables under given boundary conditions with only a single self-similarity parameter. In problems of plane free and wall jets the self-similarity parameters are determined analytically. In the problem of a three-dimensional wall jet, the self-similarity parameter is determined using a neural network.