Nonpotential Effects in Nonlinear Dynamics of Marangoni convection

نویسندگان

  • Alexander A. Golovin
  • Alexander A. Nepomnyashchy
  • L. M. Pismen
چکیده

Nonpotential effects in nonlinear evolution of Marangoni convection patterns are investigated analytically and numerically. Three manifestations of nonpotential effects are considered: (i) spatial modulations of hexagonal patterns; (ii) interaction between a short-scale hexagonal pattern and a long-scale slow deformational (Goldstone) mode; (iii) generation of the mean flow by the free-surface deformation in a large-scale Marangoni convection with poorly conducting boundaries. Nonpotential effects are shown to cause various secondary instabilities leading to skewed hexagonal structures, coexisting uand d-hexagons, oscillating hexagonal patterns, spatially irregular cellular patterns, etc.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Rayleigh-Marangoni convection in a critical fluid: a tale of two crossovers.

We show that if we take a thin layer of fluid where surface tension effects are supposed to dominate and gradually bring the mean temperature of the layer closer and closer to the liquid vapor critical point, then first there is a crossover from Marangoni to Rayleigh-Benard convection and thence to a convection whose onset is determined by the Schwarzchild criterion.

متن کامل

Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid

The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number M for the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term...

متن کامل

Oscillatory and monotonic modes of long-wave Marangoni convection in a thin film.

We study long-wave Marangoni convection in a layer heated from below. Using the scaling k=O(square root(Bi)), where k is the wave number and Bi is the Biot number, we derive a set of amplitude equations. Analysis of this set shows presence of monotonic and oscillatory modes of instability. Oscillatory mode has not been previously found for such direction of heating. Studies of weakly nonlinear ...

متن کامل

Domain growth and coarsening inhibition in a nonpotential system

We present a study of interface dynamics in two spatial dimensions for a nonrelaxational system that describes the temporal evolution of three competing real fields. This and similar models have been used to obtain insight into problems such as Rayleigh–Bénard convection in a rotating cell or population competition dynamics in predator-key systems. A notable feature is that the nonpotential dyn...

متن کامل

Introductory analysis of the Bénard-Marangoni convection

We describe experiments on Bénard-Marangoni convection which permit an useful understanding on the main concepts involved in this phenomenon as, for example, Bénard cells, aspect ratio, Rayleigh and Marangoni numbers, crispation number and critical conditions. In spite of the complexity of the convection theory, this work carries out a simple and introductory analysis of it which has the additi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2002