scholarly journals Longitudinal dispersion of tracer particles in a channel bounded by Porous media using slip condition

1984 ◽  
Vol 7 (4) ◽  
pp. 755-764 ◽  
Author(s):  
Dulal Pal ◽  
R. Veerabhadraiah ◽  
P. N. Shivakumar ◽  
N. Rudraiah
Keyword(s):  
Porous Media ◽  
Longitudinal Dispersion ◽  
Slip Condition ◽  
Porous Layers ◽  
Tracer Particles

Longitudinal dispersion of solute in a channel bounded by porous layers is studied using the analysis of Taylor [4] with BJ slip condition. The results of the present analysis are compared with those of Fung and Tang [2] obtained from using the no-slip condition. It is found that the effect of slip is significant only in the case when the membrane is permeable to solvent but not to the tracer. However, in the case when the membrane is permeable to both the tracer and the solvent, we find that our results coincide with those of Fung and Tang [2].

Longitudinal Dispersion of Tracer Particles in the Blood Flowing in a Pulmonary Alveolar Sheet

1975 ◽  
Vol 42 (3) ◽  
pp. 536-540 ◽  
Author(s):  
Y. C. Fung ◽  
H. T. Tang
Keyword(s):  
Blood Flow ◽  
Cylindrical Tube ◽  
Creeping Flow ◽  
Longitudinal Dispersion ◽  
Porous Layers ◽  
Tracer Particles ◽  
The Mean ◽  
Circular Cylindrical Tube

The analysis of G. I. Taylor on the dispersion of solutes in a circular cylindrical tube is extended to the case of flow in a channel bounded by porous layers. Creeping flow in the channel and the porous layers stimulates the blood flow in the alveolar sheets of the lung. Overall perturbation on the longitudinal dispersion due to the porous layers is evaluated. It is shown that the mean coefficient of apparent diffusivity is smaller in a channel bounded by porous layers than that in a channel with impermeable walls for the case that the channel walls are permeable to solvent but not to tracer. For the case that channel walls are permeable to both solvent and tracer, the mean coefficient of apparent diffusivity is nearly the same as that of a channel with impermeable walls.

Finite Amplitude Convection in Rotating Porous Media

2003 ◽  
Author(s):  
Johnathan J. Vadasz ◽  
Saneshan Govender
Keyword(s):  
Porous Media ◽  
Finite Amplitude ◽  
Amplitude Analysis ◽  
Linear Effect ◽  
Porous Layers ◽  
Wide Range ◽  
Non Linear ◽  
Convection Patterns ◽  
Detailed Nature ◽  
Rotating Porous Media

The linear stability of centrifugally induced convection in rotating porous layers suggests a wide range of possible convective solutions. While the linear solutions indicate possible convective regimes and flow details, it is the non-linear effect that eventually establishes the detailed nature of the convection patterns. The latter is accounted for in a finite amplitude analysis. The results of the finite amplitude analysis via the weak non-linear theory are presented here with the aim to assist in selecting between these solutions and providing further analytical detail on the nature of convection.

scholarly journals Laboratory Determination of Transverse and Longitudinal Dispersion coefficients in Porous Media

1996 ◽  
Vol 38 (1) ◽  
pp. 13-27 ◽  
Author(s):  
Makoto NISHIGAKI ◽  
Teddy SUDINDA ◽  
Y. SASAKI ◽  
M. INOUE ◽  
T. MORIWAKI
Keyword(s):  
Porous Media ◽  
Longitudinal Dispersion ◽  
Dispersion Coefficients ◽  
Laboratory Determination
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