THE FORMAL ASYMPTOTIC EXPANSION OF A DARCY-STOKES COUPLED SYSTEM

Revista de la Facultad de Ciencias

FERNANDO A MORALES¹ 

[1] Universidad Nacional de Colombia. Sede Medellín;

关键词: Brinkman;    Darcy;    Stokes;    porous media;    multiscale coupled systems;   

DOI  :  

来源: DOAJ

【 摘 要 】

Using the heuristic method of formal asymptotic expansions, we analyze the order of magnitude of the diferent physical entities involved in the phenomenon of  fluid exchange between geometric regions, where the velocity of the  fluid  flow has diferent scale. We give the modeling equations, coupling conditions and express the velocity and pressure with formal asymptotic expansions. Then we compute the averages and observe the order of magnitude of each physical effect. Finally, we deduce a Darcy-Brinkman two way coupled system of partial differential equations as the "averaged" or "homogenized" problem.

【 授权许可】

Unknown