کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772247 | 1413354 | 2017 | 62 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On stabilizing effect of elasticity in the Rayleigh-Taylor problem of stratified viscoelastic fluids
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We investigate the stabilizing effect of elasticity in the Rayleigh-Taylor (RT) problem of stratified immiscible viscoelastic fluids, separated by a free interface and in the presence of a uniform gravitational field, in a horizontally periodic domain where the velocities of the fluids are non-slip on both upper and lower fixed flat boundaries, while the internal surface tension is omitted. We establish a discriminant Cr for the stability of the stratified viscoelastic RT problem. More precisely, if Cr<1, then the stratified viscoelastic RT equilibrium state is exponentially stable. This means that a sufficiently large elasticity coefficient has stabilizing effect so that it can inhibit viscoelastic RT instability. On the other hand, if Cr>1, then we show that the RT equilibrium state is linearly unstable in the Hadamard sense. Moreover, for the case of a nonhomogeneous incompressible viscoelastic fluid, the condition Cr>1 will lead to the nonlinear instability of the RT equilibrium state; and this shows that the RT instability still occurs in viscoelastic fluids when the elasticity coefficient is small.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 9, 1 May 2017, Pages 3763-3824
Journal: Journal of Functional Analysis - Volume 272, Issue 9, 1 May 2017, Pages 3763-3824
نویسندگان
Fei Jiang, Song Jiang, Guochun Wu,