Symbolic Computation as a Tool for High-Order Long-Wave Stability Analysis of Thin Film Flows with Coupled Transport Processes

1999 ◽  
Vol 150 (1) ◽  
pp. 1-16 ◽  
Author(s):  
U Lange ◽  
K Nandakumar ◽  
H Raszillier
1984 ◽  
Vol 44 ◽  
Author(s):  
C. L. Carnahan

AbstractGradients of temperature, pressure, and fluid composition in saturated clays give rise to coupled transport processes (thermal and chemical osmosis, thermal diffusion, ultrafiltration) in addition to the direct processes (advection and diffusion). One-dimensional transport of water and a solute in a saturated clay subjected to mild gradients of temperature and pressure was simulated numerically. When full coupling was accounted for, volume flux (specific discharge) was controlled by thermal osmosis and chemical osmosis. The two coupled fluxes were oppositely directed, producing a point of stagnation within the clay column. Solute flows were dominated by diffusion, chemical osmosis, and thermal osmosis. Chemical osmosis produced a significant flux of solute directed against the gradient of solute concentration; this effect reduced solute concentrations relative to the case without coupling. Predictions of mass transport in clays at nuclear waste repositories could be significantly in error if coupled transport processes are not accounted for.


2004 ◽  
Vol 37 (4) ◽  
pp. 1193-1202 ◽  
Author(s):  
I Kirschner ◽  
Cs Mészáros ◽  
Á Bálint ◽  
K Gottschalk ◽  
I Farkas

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