Stability of Conducting Medium Flows between Plane Continuous Electrodes Inclined to the Horizonстатья
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: 19 сентября 2015 г.
Аннотация:The mathematical formulation of the problem of analysis of the stability of flows of a conducting
continuous medium associated with Joule heat generation in an inclined plane layer in the presence
of the gravity force is formulated. A one-dimensional steady-state background solution is found.
Volt-ampere characteristics (VAC) are constructed and investigated. It is shown that S-shaped voltage
dependences of the current density can exist under certain conditions when three solutions with different
current densities are possible for a given voltage. The solution with the mean current density that
corresponds to the VAC fragment with a negative differential resistance is unstable. A model of analysis
of two-dimensional perturbations based on the Oberbeck–Boussinesq equations and a thermal discharge
model is proposed.