Traveling Wave Solutions in a Generalized Theory for Macroscopic Capillarity
Traveling Wave Solutions in a Generalized Theory for Macroscopic Capillarity
复制标题
宏观毛细管现象广义理论中的行波解
DOI：
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发表时间：
2013
影响因子：
2.7
通讯作者：
R. Hilfer
中科院分区：
文献类型：
--
作者：
O. Hönig;F. Doster;R. Hilfer
在最近的宏观毛细管现象的广义理论中找到了均匀多孔介质吸入过程的一维行波解。广义理论基于渗透和非渗透流体部分之间的流体动力学差异。行波解是使用动力系统方法获得的。这里报告了一次和二次吸入过程的所有平滑行波解决方案的详尽研究。通过引入两种简化图形表示的新颖方法使之成为可能。在第一种方法中，动力系统的积分常数以图形方式与边界数据和波速相关。在第二个表示中，波速被绘制为边界数据的函数。这两个图形表示中的每一个都提供了对行波类型的所有一维和平滑解决方案的详尽概述，这些解决方案可能出现在初级和次级吸入中。类似的表示对于其他系统、解决方案类别和过程也是可能的。
One-dimensional traveling wave solutions for imbibition processes into a homogeneous porous medium are found within a recent generalized theory of macroscopic capillarity. The generalized theory is based on the hydrodynamic differences between percolating and nonpercolating fluid parts. The traveling wave solutions are obtained using a dynamical systems approach. An exhaustive study of all smooth traveling wave solutions for primary and secondary imbibition processes is reported here. It is made possible by introducing two novel methods of reduced graphical representation. In the first method the integration constant of the dynamical system is related graphically to the boundary data and the wave velocity. In the second representation the wave velocity is plotted as a function of the boundary data. Each of these two graphical representations provides an exhaustive overview over all one-dimensional and smooth solutions of traveling wave type, that can arise in primary and secondary imbibition. Analogous representations are possible for other systems, solution classes, and processes.
渗透作为宏观毛细管现象的基本概念
影响因子：
2.7
作者：
Hilfer;Doster
通讯作者：
Doster