کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613248 1338734 2008 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear instability of Hele-Shaw flows with smooth viscous profiles
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Nonlinear instability of Hele-Shaw flows with smooth viscous profiles
چکیده انگلیسی

We rigorously derive nonlinear instability of Hele-Shaw flows moving with a constant velocity in the presence of smooth viscosity profiles where the viscosity upstream is lower than the viscosity downstream. This is a single-layer problem without any material interface. The instability of the basic flow is driven by a viscosity gradient as opposed to conventional interfacial Saffman–Taylor instability where the instability is driven by a viscosity jump across the interface. Existing analytical techniques are used in this paper to establish nonlinear instability.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 245, Issue 7, 1 October 2008, Pages 1819-1837