title: Entropy production and stability during radial displacement of fluid in Hele-Shaw cell.
abstract: The entropy production in the problem of the radial displacement of a fluid in the Hele-Shaw cell is determined. The morphological stability of the interface between the displaced and displacing fluids is studied using the linear analysis for stability and the maximum entropy production principle. Regions, in which different forms of the interface can coexist, are predicted. These regions are analyzed depending on the cell size, the injected flow rate, and the ratio of the fluid viscosities.
authors.affiliation: Institute of Industrial Ecology, S. Kovalevskoi 20A, Ekaterinburg, 620219, Russia.
authors.forename: L M
authors.initials: LM
authors.lastname: Martyushev
authors.forename: A I
authors.initials: AI
authors.lastname: Birzina