Scholarlink

<p>The effects of gravity and a uniform normal magnetic field on the flow of a film down an inclined substrate are examined in the case of low magnetic Reynolds number using the long-wave length framework and boundary-layer analysis. The model under consideration takes into account the existence of streamwise viscous diffusion and the inertia regime in general. The Benney equation model and two coupled evolution equations for the film thickness and flow rate are recovered. According to the case of electrified film [<CitationRef AdditionalCitationIDS="CR2" CitationID="CR1">1</CitationRef>–<CitationRef CitationID="CR3">3</CitationRef>], and the ferromagnetic film flow [<CitationRef CitationID="CR4">4</CitationRef>], the Kuramoto-Sivashinsky equation is extracted for weakly nonlinear magnetized waves. The evolution equations of previous authors are recovered in the case of pure hydrodynamics theory. The analysis of linear instability is introduced. The behavior of solitary waves that form on liquid film surfaces at a low magnetic Reynolds in three-dimensional dynamical systems is investigated in the nonlinear regime. Several sites of bifurcation are reported.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Instability and Bifurcation of a Liquid Film Flow at Low Magnetic Reynolds Number

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年7月3日

查看全文
  • Kadry Zakaria

摘要

The effects of gravity and a uniform normal magnetic field on the flow of a film down an inclined substrate are examined in the case of low magnetic Reynolds number using the long-wave length framework and boundary-layer analysis. The model under consideration takes into account the existence of streamwise viscous diffusion and the inertia regime in general. The Benney equation model and two coupled evolution equations for the film thickness and flow rate are recovered. According to the case of electrified film [1–3], and the ferromagnetic film flow [4], the Kuramoto-Sivashinsky equation is extracted for weakly nonlinear magnetized waves. The evolution equations of previous authors are recovered in the case of pure hydrodynamics theory. The analysis of linear instability is introduced. The behavior of solitary waves that form on liquid film surfaces at a low magnetic Reynolds in three-dimensional dynamical systems is investigated in the nonlinear regime. Several sites of bifurcation are reported.