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Analogy Solutions internal flow

The domain of Interest here for the elastic deformation Is bounded this is analogous to an internal flow problem. The solution to the elasticity problem Is reduced to the solution of a linear system of equations. The elastic deformation Is first calculated by starting from an Initial pressure distribution for the fluid film. The fluid film gap thickness is then updated and the hydrodynamic pressure is recalculated. A new elastic deformation is calculated. This process of calculation is... [Pg.166]

Boussinesq (B4) proposed that the lack of internal circulation in bubbles and drops is due to an interfacial monolayer which acts as a viscous membrane. A constitutive equation involving two parameters, surface shear viscosity and surface dilational viscosity, in addition to surface tension, was proposed for the interface. This model, commonly called the Newtonian surface fluid model (W2), has been extended by Scriven (S3). Boussinesq obtained an exact solution to the creeping flow equations, analogous to the Hadamard-Rybczinski result but with surface viscosity included. The resulting terminal velocity is... [Pg.36]

Effect of rotation rate. This is one parameter which does not have an analogous counterpart in batch column operation. Therefore, this parameter provides additional flexibility when optimizing a separation performed in an annular chromatograph. The rotation rate does not influence the solute residence time in the unit nor does it influence the relative time scales for flow, internal diffusion or external mass transfer. However, the rotation rate does influence the angular distance that a solute traverses in a given time. The result of a slower rotation rate is to decrease both the peak variance and the displacement for each solute and therefore again the resolution between proteins changes less than either mi/mo or a. ... [Pg.282]

In one example, Masukawa and colleagues studied the quantification of Cer species in human stratum corneum by LC-MS [52], The authors employed a normal-phase column (Inertsil SIL lOOA-3 150 x 1.5 mm GL Science, Tokyo, Japan) with a nonlinear gradient from mobile phase A (hexane-isopropanol-formic acid, 95 5 0.1) to B (hexane-isopropanol-ammonium formate (50 mM) aqueous solution, 25 65 10) for 80 min at a flow rate of 0.1 mL/min. The researchers prepared numerous Cer analogs used as standards. They determined the limit of detection (S/N > 3), limit of quantification (S/N > 10), and linearity of calibration curves using these compounds. Moreover, they employed a Cer species (dl8 l-N17 0) as an internal standard for normalization of all analyzed samples. By using these controls, they achieved a maximum interday reproducibility of 14.3 RSD% and a systematic error of 21.4%. By using SIM, as many as 182 molecular-related ions derived from the diverse Cer species in the stratum corneum were measured. [Pg.323]

Potentiometric detectors and formation of new t3 pes of sensors including detectors without internal solution (all-solid-state). The composition of ion-selective layers was considerably and aptly modified. New solutions and additives in the membrane electrodes were used and tested looking for analogy with biological membranes. Special applications of such electrodes in medicine were studied. Development of methods of the flow analysis, which was introduced to analytical chemistry in the last quarter of the twentieth century. A number of original results in the methodology of that method were obtained at the University of Warsaw, especially in the use in detection of electrochemical techniques. Number of interesting and new results were obtained in electrophoretic methods. [Pg.326]


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Analogy Solutions

Flow, internal

Flowing solutions

Internal solution

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