Self-similar Solutions for Laminar Wall Jets

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 and M. F. Tachie, ASME J. F...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2024-05, Vol.45 (5), p.1963-1970
Main Authors: Gaifullin, A. M., Shcheglov, A. S.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Fluid flow
Geometry
Incompressible flow
Incompressible fluids
Laminar flow
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Neural networks
Probability Theory and Stochastic Processes
Self-similarity
Three dimensional flow
Wall jets
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Summary: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 and M. 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 close to . 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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224602133