变渗透率对流Brinkman-Forchheimer流的数值近似

Q4 Chemical Engineering
C. Nwaigwe, J. Oahimire, A. Weli
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引用次数: 0

摘要

本文研究了在多孔材料填充的矩形通道中,随温度变化的黏性流体在非等温不可压缩流动中污染物的非线性扩散。Brinkman-Forch-heimer效应被纳入其中,并且假定流体通过多孔通道的渗透性是可变的。考虑了外部污染物注入、热源和rosland近似的非线性辐射热通量。以无量纲形式给出了控制速度、温度和污染物浓度的非线性偏微分方程组。对对流部分采用逆风格式,对扩散部分采用保守型中心格式,给出了收敛的数值算法。讨论了该方案的收敛性,并通过数值实验验证了该方案在有吸力和无吸力情况下的收敛性。然后使用该方案来研究通道中的流动和运输。结果表明,随着吸力和Forchheimer参数的增大,速度减小,而随着孔隙度的增大,速度增大。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability
This paper investigates the nonlinear dispersion of a pollutant in a non-isothermal incompressible flow of a temperature-dependent viscosity fluid in a rectangular channel filled with porous materials. The Brinkman-Forch-heimer effects are incorporated and the fluid is assumed to be variably permeable through the porous channel. External pollutant injection, heat sources and nonlinear radiative heat flux of the Rossland approximation are accounted for. The nonlinear system of partial differential equations governing the velocity, temperature and pollutant concentration is presented in non-dimensional form. A convergent numerical algorithm is formulated using an upwind scheme for the convective part and a conservative-type central scheme for the diffusion parts. The convergence of the scheme is discussed and verified by numerical experiments both in the presence and absence of suction. The scheme is then used to investigate the flow and transport in the channel. The results show that the velocity decreases with increasing suction and Forchheimer parameters, but it increases with increasing porosity.
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来源期刊
Applied and Computational Mechanics
Applied and Computational Mechanics Engineering-Computational Mechanics
CiteScore
0.80
自引率
0.00%
发文量
10
审稿时长
14 weeks
期刊介绍: The ACM journal covers a broad spectrum of topics in all fields of applied and computational mechanics with special emphasis on mathematical modelling and numerical simulations with experimental support, if relevant. Our audience is the international scientific community, academics as well as engineers interested in such disciplines. Original research papers falling into the following areas are considered for possible publication: solid mechanics, mechanics of materials, thermodynamics, biomechanics and mechanobiology, fluid-structure interaction, dynamics of multibody systems, mechatronics, vibrations and waves, reliability and durability of structures, structural damage and fracture mechanics, heterogenous media and multiscale problems, structural mechanics, experimental methods in mechanics. This list is neither exhaustive nor fixed.
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