Capillary conduction

Redman JA, Grant SB, Olson TM, Estes MK (2001) Pathogen filtration, heterogeneity, and the potable reuse of wastewater. Environ Sci Technol 35 1798-1805 Redman JA, Walker SL, Elimelech M (2004) Bacterial adhesion and transport in porous media Role of the secondary energy minimum. Environ Sci Technol 38 1777-1785 Reeves CP, CeUa MA (1996) A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model. Water Resour Res 32 2345-2358 Richards LA (1931) Capillary conduction of liquids through porous mediums. Physics 1 318-333... 

Wave length of monochromatic light Mean free path of molecules Mean free path of particles in Brownian motion Capillary conductivity (Gardner)... 

The dimensions of this constant are clearly [Lz T l] = rate of flow, q/t = 0. Gardner regards this constant as equivalent to the capillary conductivity on the basis of heat and electrical analogies. This result is remarkable considering the assumptions involved. Eq (15-30) indicates that Xfl, the capillary conductivity, may be determined directly from measurement of the volume moisture-content V, the actual volume of flow per unit cross section Vv, and the gradient moisture-content dV/dx at the point x. These quantities are all experimentally observable. 

Capillary conductivity constants are difficult to determine since slight disturbances of the soil structure have a marked effect upon its value. Gardner s results for Greenville soil are given in Table 63. The first three values indicate that there is an optimum porosity for capillary flow. 

Table 63—tValues op Capillary Conductivity for Various Soil Conditions... 

Capillary conduction of liquids through porous mediums. Physics, 1 318-333. 

Figure 8.9. Schematic representaion of the boron nitride (BN) capillary conductivity cell. 1 - steel tube, 2 - molybdenum contact rod, 3 - thermocouple, 4 - pressed BN cell holder, 5 - tungsten electrode, 6 - melt, 7 - pyrolytic BN tube, 8 - graphite crucible.

Richards, L.A. 1931. Capillary conduction of liquids in porous medium. Physics 1 318-333. 

Richards L.A. (1931). Capillary conduction of liquids through porus media, Physica (1), 318-333. 

Since the permeability depends on the pore stmcture of the material and the interaction between water and the textile material, it is difficult to find a theoretical form to relate and the capillary conductivity. However, the velocity of flow in capillaries may be assumed to follow the Hagen-Poiseuille law [21] ... 

A very line capillary tube should be used. It is better to conduct the dis. tillatiuii in a stream of an inert gas, such as hydrogen or nitrogen. 

The density determination may be carried out at the temperature of the laboratory. The liquid should stand for at least one hour and a thermometer placed either in the liquid (if practicable) or in its immediate vicinity. It is usually better to conduct the measurement at a temperature of 20° or 25° throughout this volume a standard temperature of 20° will be adopted. To determine the density of a liquid at 20°, a clean, corked test-tube containing about 5 ml. of toe liquid is immersed for about three-quarters of its length in a water thermostat at 20° for about 2 hours. An empty test-tube and a shallow beaker (e.g., a Baco beaker) are also supported in the thermostat so that only the rims protrude above the surface of the water the pycnometer is supported by its capillary arms on the rim of the test-tube, and the small crucible is placed in the beaker, which is covered with a clock glass. When the liquid has acquired the temperature of the thermostat, the small crucible is removed, charged with the liquid, the pycnometer rapidly filled and adjusted to the mark. With practice, the whole operation can be completed in about half a minute. The error introduced if the temperature of the laboratory differs by as much as 10° from that of the thermostat does not exceed 1 mg. if the temperature of the laboratory is adjusted so that it does not differ by more than 1-2° from 20°, the error is negligible. The weight of the empty pycnometer and also filled with distilled (preferably conductivity) water at 20° should also be determined. The density of the liquid can then be computed. 

In capillary electrophoresis the conducting buffer is retained within a capillary tube whose inner diameter is typically 25-75 pm. Samples are injected into one end of the capillary tube. As the sample migrates through the capillary, its components separate and elute from the column at different times. The resulting electrophero-gram looks similar to the chromatograms obtained in GG or HPLG and provides... 

The narrow bore of the capillary column and the relative thickness of the capillary s walls are important. When an electric field is applied to a capillary containing a conductive medium, such as a buffer solution, current flows through the capillary. This current leads to Joule heating, the extent of which is proportional to the capillary s radius and the magnitude of the electric field. Joule heating is a problem because it changes the buffer solution s viscosity, with the solution at the center of the... 

Detectors Most of the detectors used in HPLC also find use in capillary electrophoresis. Among the more common detectors are those based on the absorption of UV/Vis radiation, fluorescence, conductivity, amperometry, and mass spectrometry. Whenever possible, detection is done on-column before the solutes elute from the capillary tube and additional band broadening occurs. 

Zhou and colleagues determined the %w/w H2O in methanol by GG, using a capillary column coated with a nonpolar stationary phase and a thermal conductivity detector. A series of calibration standards gave the following results. 

The spring ensures a soHd closing action and is usually wound from stainless steel wire. The dip tube conducts the product from the container to the valve. It is usually extmded from polyethylene or polypropylene and has an inside diameter of over 2.54 mm, although it can be provided in capillary sizes having diameters down to 0.25 mm. These small tubes are used to reduce flow rate and may function in place of the Hquid metering orifice in the valve housing. 

The principal physical properties influencing ink performance ate surface tension and viscosity. High surface tension is desired for good droplet formation and capillary refill in dtop-on-demand ink jet. Low viscosity is desired because less energy is required to pump and eject ink. Conductivity is also an important parameter. Continuous ink-jet inks must have some conductivity to allow for charging. Low conductivity is generally preferred for impulse, particularly thermal ink jet, because excess ions can cause corrosion of the printhead. 

Capillary Suction Processes. The force needed to remove water from capillaries increases proportionately with a decrease in capillary radius, exceeding 1400 kPa (200 psi) in a 1-p.m-diameter capillary. Some attempts have been made to use this force as a way to dewater sludges and cakes by providing smaller dry capillaries to suck up the water (27). Sectors of a vacuum filter have been made of microporous ceramic, which conducts the moisture from the cake into the sector and removes the water on the inside by vacuum. Pore size is sufficiently small that the difference in pressure during vacuum is insufficient to displace water from the sector material, thus allowing a smaller vacuum pump to be effective (126). 

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