کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897920 1044606 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of liquid film falling down a vertical non-uniformly heated wall
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stability of liquid film falling down a vertical non-uniformly heated wall
چکیده انگلیسی

The main object in this paper is to study the stability of a viscous film flowing down a vertical non-uniformly heated wall under gravity. The wall temperature is assumed linearly distributed along the wall and the free surface is taken to be adiabatic. A long wave perturbation method is used to derive the nonlinear evolution equation for the falling film. Using the method of multiple scale, the nonlinear stability analysis is studied for travelling wave solution of the evolution equation. The complex Ginzburg–Landau equation is determined to discuss the bifurcation analysis of the evolution equation. The results indicate that the supercritical unstable region increases and the subcritical stable region decreases with the increase of Peclet number. It has been also shown that the spatial uniform solution corresponding to the sideband disturbance may be stable in the unstable region.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issue 20, 15 October 2008, Pages 2587–2598
نویسندگان
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