电邮这篇文章 EQUATIONS OF MARANGONI BOUNDARY LAYER IN THE SECOND GRADE FLUID
- 作者: Pukhnachev V.V1,2
-
隶属关系:
- Lavrentyev Institute of Hydrodynamics
- Novosibirsk State University
- 期: 编号 5 (2025)
- 页面: 43–49
- 栏目: Articles
- URL: https://ogarev-online.ru/1024-7084/article/view/376633
- DOI: https://doi.org/10.7868/S3034534025050048
- ID: 376633
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详细
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.
作者简介
V. Pukhnachev
Lavrentyev Institute of Hydrodynamics; Novosibirsk State University
Email: pukhnachev@gmail.com
Novosibirsk, Russia; Novosibirsk, Russia
参考
- Rivlin R.S., Ericksen J.L. Stress-deformation relations for isotropic materials // J. Ration Mech. Anal. 1955. V. 4. P. 323–425.
- Frolovskaya O.A., Pukhnachev V.V. Analysis of the models of motion of aqueous solutions of polymers on the basis of their exact solutions // Polymers. 2018. V. 10. P. 684–696.
- Galdi G.P. Mathematical theory of second-grade fluids // In: Stability and Waves Propagation in Fluids and Solids. Galdi G.P., Ed.; Springer: Wien, Austria. 1995. P. 67–104.
- Cioranecku D., Girault V. Weak and classical solutions of a family second grade fluids // Int. J. Non-Linear Mech. 1997. V. 32. P. 317–335.
- Napolitano L.G. Thermodynamics and dynamics of surface phase // Acta Astronautica. 1979. V. 6. P. 1093–1112.
- Batishchev V.A., Kuznetsov V.V., and Pukhnachev V.V. Marangoni boundary layers // Progress in Aerospace Sciences. 1989. V. 26. P. 353–370.
- Meleshko S.V., Pukhnachev V.V. Group analysis of the boundary layer equations in the model of оpolymer solutions // Symmetry. 2020. V. 12. P. 1084–1103.
- Павловский В.А. К вопросу о теоретическом описании слабых водных растворов полимеров // ДАН СССР. 1971. Т. 200. № 4. С. 809–812.
- Трусделл К. Первоначальный курс рациональной механики сплошных сред. М.: Мир, 1975. 592 с.
- Овсянников Л.В. Групповой анализ дифференциальных уравнений. М.: Наука, 1978. 399 с.
- Сидоров А.Ф., Шапеев В.П., Яненко Н.Н. Метод дифференциальных связей и его приложения в газовой динамике. Новосибирск: Наука, Сиб. отделение, 1984. 272 с.
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