A Study of Flow through a Channel Bounded by a Brinkman Transition Porous Layer

• 作者: M. H. Hamdan M. S. Abu Zaytoon T. L. Alderson
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: TRANSITION LAYER GENERALIZED Airy’s EQUATION
• 年，卷（期）: 2018,（1）
• 页码范围: 264-282
• 页数: 19页
• 分类号: O1

摘要

Flow through a channel bounded by a porous layer is considered when a transition layer exists between the channel and the medium. The variable permeability in the transition layer is chosen such that Brinkman’s equation governing the flow reduces to a generalized inhomogeneous Airy’s differential equation. Solution to the resulting generalized Airy’s equation is obtained in this work and solution to the flow through the transition layer, of the same configuration, reported in the literature, is recovered from the current solution.