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Non-isothermal flows of liquid metals and melts: Qualitative features, asymptotic models, problems, exact and approximate solutionsстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 26 марта 2018 г.
- Авторы: Polyanin A.D., Zhurov A.I.
- Журнал: International Journal of Non-Linear Mechanics
- Том: 82
- Год издания: 2016
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- Первая страница: 104
- Последняя страница: 113
- DOI: 10.1016/j.ijnonlinmec.2016.03.001
- Аннотация: We analyze experimental thermophysical properties of liquid metals and alloy melts and show that the kinematic viscosity is essentially dependent on temperature, whereas the density, thermal conductivity, and specific heat capacity are only wealdy dependent on temperature. Based on this fact, we formulate a mathematical model for non-isothermal laminar flows of liquid metals and melts with variable viscosity. We derive asymptotic equations of motion for low Prandtl numbers (liquid metals are characterized by Pr similar or equal to 10(-2) << 1) and different Reynolds numbers and obtain a number of exact and approximate analytical solutions expressible in elementary functions or representable in closed form. We look at a few specific fluid and thermodynamic problems and show that the dependence of viscosity on temperature significantly affects the drag coefficient in non-isothermal flows as compared to isothermal flows. We outline a few semi-empirical approximations of nu(7) and show that the power-law formula nu = nu(0)(T-0/T)(k) provides a very good accuracy for several liquid metals (including sodium and mercury). The asymptotic models, equations and formulas presented in the paper can be used to state and solve new non isothermal hydrodynamic problems for liquid metal and melt flows.
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | Non-isothermal_flows_of_liquid_metals_and_melts.pdf | 448,6 КБ | 14 декабря 2018 [Andrey_Bryzgalov] |