Darcy's law for slow viscous flow past a stationary array of bubbles

1990 ◽  
Vol 114 (1-2) ◽  
pp. 71-79 ◽  
Author(s):  
Robert Lipton ◽  
Marco Avellaneda
Keyword(s):  
Pressure Gradient ◽  
Viscous Flow ◽  
Body Force ◽  
Darcy’S Law ◽  
Fluid Velocity ◽  
Darcy's Law ◽  
Slow Viscous Flow ◽  
Flow Past

SynopsisWe examine slow viscous flow past a concentrated bed of small stationary viscous bubbles of a second fluid, and derive Darcy's law relating the average fluid velocity to the overall pressure gradient and body force.

Effects of Large Rock Particles on Permeability of Soil and Rock Mixture

2011 ◽  
Vol 250-253 ◽  
pp. 1804-1807
Author(s):  
Xian Chao Xiang ◽  
Guo Sheng Jiang
Keyword(s):  
Pore Pressure ◽  
Darcy’S Law ◽  
Fluid Velocity ◽  
Darcy's Law ◽  
Particle Flow ◽  
Particle Flow Code ◽  
Large Particles ◽  
The World ◽  
Lab Test

The soil and rock mixture is widely spread in the world， which is much different from homogeneous and continuous soil, it is hard to get the permeability of the soil and rock mixture by theories, and it is also hard to get that from the large lab test as the difficulty in sampling. The particle flow code (PFC) method is used to study the permeability character influenced by large rock particles. The result shows that the seepage of the soil and rock mixture obeys the linearity of Darcy’s law in low fluid velocity, but the large particles influence the local pore pressure evidently. The permeability increases while the ratio of rock to soil increase first, and decreases while the ratio enlarge to 0.5, then increases after the ratio enlarge to 0.7. The large rock particles jam the fluid path, but decrease the length of the pipe, the permeability is influenced by the two effects.

Slow Viscous Flow Past a Deforming Sphere

1971 ◽  
Vol 21 (3) ◽  
pp. 469-477 ◽  
Author(s):  
A. K. Gautesen ◽  
S. P. Lin
Keyword(s):  
Viscous Flow ◽  
Slow Viscous Flow ◽  
Flow Past

Slow viscous flow past a cavity with infinite depth

2000 ◽  
Vol 7 (3) ◽  
pp. 569-580
Author(s):  
D. W. Kim ◽  
S. B. Kim ◽  
J. H. Chu
Keyword(s):  
Viscous Flow ◽  
Slow Viscous Flow ◽  
Infinite Depth ◽  
Flow Past

scholarly journals Determination of the Upper Limit Up To Which the Linear Flow Law (Darcy's Law) Can Be Applied

2021 ◽  
Author(s):  
Sudad H Al-Obaidi ◽  
Chang WJ ◽  
Falah H Khalaf
Keyword(s):  
Porous Media ◽  
Pressure Gradient ◽  
Darcy’S Law ◽  
Direct Determination ◽  
Darcy's Law ◽  
Linear Flow ◽  
Linear Character ◽  
Upper Limit ◽  
Flow Law

In the practice of hydrodynamic calculations the linear flow law, commonly called Darcy's law, is now widely used. It is well known that it is violated at large pressure gradients. This means that there is a certain limit value of the pressure gradient Δp* above which a deviation from the linear character of the flow law begins. This value of the pressure gradient is the upper limit of applicability.A method is presented for the direct determination of the upper limit of the validity of the linear flow law (Darcy's law) for any porous media. The method is based on the principles of percolation modelling of fluid flows in porous media. The influence of the structure of the pore space on the value of the boundary gradient is analysed. A qualitative comparison with the experimental data is performed.

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