Morphological stability of an interface between two non-Newtonian fluids moving in a Hele-Shaw cell / Martyushev L. M.,Birzina A. I. // PHYSICAL REVIEW E. - 2015. - V. 91, l. 1.

ISSN/EISSN:

2470-0045 / 2470-0053

Type:

Article

Abstract:

The problem of the morphological stability of an interface in the case of the displacement of one non-Newtonian fluid by another non-Newtonian fluid in a radial Hele-Shaw cell has been considered. Both fluids have been described by the two-parameter Ostwald-de Waele power-law model. The nonzero viscosity of the displacing fluid has been taken into account. A generalized Darcy's law for the system under consideration, as well as an equation for the determination of the critical size of morphological stability with respect to harmonic perturbations (linear analysis), has been derived. Morphological phase diagrams have been constructed, and the region of the parameters in which nonequilibrium reentrant morphological transitions are possible has been revealed.

Author keywords:

PATTERN-FORMATION; FLOW; INSTABILITY; GROWTH; MODELS

DOI:

10.1103/PhysRevE.91.013004

Web of Science ID:

ISI:000349415800009

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JAN 8
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	013004
EISSN	2470-0053
Keywords-Plus	PATTERN-FORMATION; FLOW; INSTABILITY; GROWTH; MODELS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	LeonidMartyushev@gmail.com
Number-of-Cited-References	33
Usage-Count-Since-2013	4
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	CB1VJ