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EQUATIONS OF MARANGONI BOUNDARY LAYER IN THE SECOND GRADE FLUID
- Authors: Pukhnachev V.V1,2
-
Affiliations:
- Lavrentyev Institute of Hydrodynamics
- Novosibirsk State University
- Issue: No 5 (2025)
- Pages: 43–49
- Section: Articles
- URL: https://journals.rcsi.science/1024-7084/article/view/376633
- DOI: https://doi.org/10.7868/S3034534025050048
- ID: 376633
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Abstract
Second grade fluid is one of the basic mathematical models in dynamics of water polymers solutions. Equations of the Marangoni layer in such fluid are formulated. Solvability of linearized initial boundary problem for this equation is proved. The exact self- similar solution of mentioned equations is constructed. With the help of differential constraints method, solution of their solutions having a wide functional arbitrariness is found.
About the authors
V. V Pukhnachev
Lavrentyev Institute of Hydrodynamics; Novosibirsk State University
Email: pukhnachev@gmail.com
Novosibirsk, Russia; Novosibirsk, Russia
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