We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A homogenised model for flow, transport and sorption in a heterogeneous porous medium.
- Authors
Auton, L.C.; Pramanik, S.; Dalwadi, M.P.; MacMinn, C.W.; Griffiths, I.M.
- Abstract
We take Graph $a 0 = 1.34$ and Graph $m a=1.8$ (increasing in Graph $\hat {x} 1$), Graph $m a=0$ (constant in Graph $\hat {x} 1$) or Graph $m a=-1.8$ (decreasing in Graph $\hat {x} 1$). As Graph $\phi \to \phi {min}(R)$ (Graph $a\to 2R$) at fixed Graph $R$, the obstacles move closer together in the longitudinal direction and the pore space becomes disconnected in the transverse direction, so that Graph ${{\mathsf{K}}} {22}$ and Graph $\phi {{\mathsf{D}}} {22}$ vanish; Graph ${{\mathsf{K}}} {11}$ and Graph $\phi {{\mathsf{D}}} {11}$ are minimised but do not vanish. Increasing Graph $\phi$ at fixed Graph $R$ is achieved by increasing Graph $a$ (figure 4 I a i ), such that the obstacles move further apart in the longitudinal direction only; as a result, Graph ${{\mathsf{K}}} {11}$, Graph ${{\mathsf{K}}} {22}$, Graph $\phi {{\mathsf{D}}} {11}$ and Graph $\phi {{\mathsf{D}}} {22}$ all increase (figures 5 I a i , I c i and 6 I a i , I c i ). We take Graph $\phi 0=0.8$ and Graph $m \phi =0.3$ (increasing in Graph $\hat {x} 1$), Graph $m \phi =0$ (uniform in Graph $\hat {x} 1$), or Graph $m \phi =-0.3$ (decreasing in Graph $\hat {x} 1$). We take Graph $R 0 = 0.36$ and Graph $m R=0.14$ (increasing in Graph $\hat {x} 1$), Graph $m R=0$ (uniform in Graph $\hat {x} 1$) or Graph $m R=-0.14$ (decreasing in Graph $\hat {x} 1$).
- Subjects
ADVECTION-diffusion equations; DARCY'S law; POROUS materials; SORPTION; SEWAGE purification; MULTIPLE scale method; ADSORPTION (Chemistry)
- Publication
Journal of Fluid Mechanics, 2022, Vol 932, p1
- ISSN
0022-1120
- Publication type
Article
- DOI
10.1017/jfm.2021.938