CAJ | 학술논문

对多孔介质内部，以及多孔介质与自由流体界面间的复杂质量、动量传递问题进行分析研究。提出含有多孔介质层和流体层复杂结构下，考虑非达西效应的量纲一化的通用数学方程式，指出以往文献得不到解析解是由于处理超大指数的数学原因，设定物理参数的制约条件是不合理的。提出将多孔介质层分为核心区域与边界影响区，以多孔介质和流体层同时存在的多层结构水平泊松流为例，采用Runge-Kutta-Gill方法进行基础稳定流解的数值求解，与以往模型进行对比验证。研究结果表明：在Da数与孔隙度ε不变情况下，单独改变Re数对流型结构并未有多大改变，但改变Da数与孔隙度均对流型有较大影响。
대다공개질내부，이급다공개질여자유류체계면간적복잡질량、동량전체문제진행분석연구。제출함유다공개질층화류체층복잡결구하，고필비체서효응적량강일화적통용수학방정식，지출이왕문헌득불도해석해시유우처리초대지수적수학원인，설정물리삼수적제약조건시불합리적。제출장다공개질층분위핵심구역여변계영향구，이다공개질화류체층동시존재적다층결구수평박송류위례，채용Runge-Kutta-Gill방법진행기출은정류해적수치구해，여이왕모형진행대비험증。연구결과표명：재Da수여공극도ε불변정황하，단독개변Re수대류형결구병미유다대개변，단개변Da수여공극도균대류형유교대영향。
The complicated mass and momentum transfer problems in the porous regions,especially at the interface between porous and open fluid regions were analyzed. By taking the Brinkman viscous dissipation term and Forchheimer nonlinear inertia term into account,a new and more general nondimensionalized governing equation was proposed. It was noticed that in the previous literature an analytical solution cannot be obtained freely,and a limitation equation for the given physical parameters had to be proposed,which believed that previous models need to deal with an infinite large number. In this paper,a method that the porous region can be divided into two regions, core region and near boundary region was proposed. Taking the Poiseuille flow model with one open fluid layer in the center and two porous layers aside as an example,the basic flow by solving the difference equation using the Runge-Kutta-Gill method was obtained,which was validated by comparing with those of previous literature. The results show that under the condition of constant Darcy numberDa and porosityε,there is less effect on the basic flow pattern by varying Reynolds numberRe alone,while changing theDa orεhas a great influence.