Self-similar Solutions for Laminar Wall Jets

被引：0
|
作者：
Gaifullin, A. M. [1 ]
Shcheglov, A. S. [1 ]
机构：
[1] Zhukovsky Cent Aerohydrodynam Inst TsAGI, Zhukovskii 140181, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 05期
基金：
俄罗斯科学基金会;
关键词：
submerged wall jet; self-similarity; artificial neural networks; PINN;
D O I：
10.1134/S1995080224602133
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A steady three-dimensional laminar wall jet of a viscous incompressible fluid flowing out into a space submerged with the same fluid was studied numerically and experimentally in I. I. But, A. M. Gailfullin, and V. V. Zhvick, Fluid Dyn. 56, 812-823 (2021) and K. F. Adane andM. F. Tachie, ASME J. Fluids Eng. 132 (10), 1 (2010). It was found that the flow reaches a self-similar state at large values of the longitudinal coordinate with the self-similarity exponent value k close to 1.33. The goal of this article is to solve this problem exploiting the fact that its dimensionality can be reduced by one. The problem is solved by means of a physically-informed neural network (PINN) implemented via PyTorch framework.
引用
收藏
页码：1963 / 1970
页数：8
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