Faxen

Whitmore (F4) for A < 0.6 lie between the expressions of Haberman and Sayre and of Francis. The Haberman and Sayre result shows about 1% less deviation, but the equation due to Francis has the virtue of simplicity. Experimental results due to Sutterby (S7) for a < 0.13 with Re- 0 agree with the Faxen, Haberman, and Francis curves which are virtually indistinguishable in this range. The Ladenburg result is only accurate for A < 0.05. 

The case of transport through microporous membranes is different from that of macroporous membranes in that the pore size approaches the size of the diffusing solute. Various theories have been proposed to account for this effect. As reviewed by Peppas and Meadows [141], the earliest treatment of transport in microporous membranes was given by Faxen in 1923. In this analysis, Faxen related a normalized diffusion coefficient to a parameter, X, which was the ratio of the solute radius to the pore radius... 

Freund-Levi Y., Eriksdotter-Jonhagen M., Cederholm T., Basun H., Faxen-Irving G., Garlind A., Vedin I., Vessby B., Wahlund L. O., and Palmblad J. (2006). Fatty acid treatment in 174 patients with mild to moderate Alzheimer disease OmegAD study - A randomized double-blind trial. Arch. Neurol. 63 1402-1408. 

Saltation of solids occurs in the turbulent boundary layer where the wall effects on the particle motion must be accounted for. Such effects include the lift due to the imposed mean shear (Saffman lift, see 3.2.3) and particle rotation (Magnus effect, see 3.2.4), as well as an increase in drag force (Faxen effect). In pneumatic conveying, the motion of a particle in the boundary layer is primarily affected by the shear-induced lift. In addition, the added mass effect and Basset force can be neglected for most cases where the particle... 

M. Faxen and L. A. Isaksson (1994). Functional interactions between translation, transcription and ppGpp in growing Escherichia coli. Biochem. Biophys. Acta, 1219, 425-434. 

The enhanced drag coefficient accounts for the increased hydrodynamic drag exerted on the moving solute due to proximity of the walls. Faxen [27] used an approximate solution to obtain... 

Farkas s equation for cloud formation, 371 Faxen s equation, 87 Fermi energy, 294... 

Sie konnen uns dieses Schreiben auch FAXen, oder bestellen Sie einfach iibers Internet. 

Meier, H. E. M., Doscher, R., Faxen, T, 2003. A multiprocessor coupled ice-ocean model for the Baltic Sea application to salt inflow. Journal of Geophysical Research, 108(C8), doi 10.1029/ 2000JC000521. 

Faxen suggested that the reduced diffusivity in fine pores (Djjj) resulting from an Increased frictional drag on the solute which is in the proximity of solid walls can be expressed by (12)... 

This result should be checked against Faxen s law, which will be proven in Chap. 8. Faxen s law for a solid sphere holds that the force and torque that are due to an arbitrary undisturbed flow, Uoo = u(r), that satisfies the creeping-motion equations can be calculated from the following formula ... 

This important result is known as Faxen s law.22 According to this law, if we specify the undisturbed velocity u°°(x), then the force on a sphere can be calculated directly from the formula (8-220), without any need to actually solve the flow problem corresponding to the free-stream velocity u°°(x). 

A number of interesting results can be obtained from the Faxen formula, (8-220). The first is to note that the force on a stationary sphere in an arbitrary linear flow,... 

The original reference to this work was H. Faxen s Ph.D. thesis, Uppsala University, Uppsala, Sweden (1921). 

Now, if the Reynolds number of the flow is sufficiently small for the creeping-motion approximation to apply, it can be shown by the arguments of Subsection B.3 in Chap. 7 that no lateral motion of the drop is possible unless the drop deforms. In other words, Us = Useiin this case, though, of course, Us is not generally equal to the undisturbed velocity of the fluid evaluated at the X3 position of the drop center. The drop may either lag or lead (in principle) because of a combination of interaction with the walls and the hydrodynamic effect of the quadratic form of the undisturbed velocity profile - see Faxen s law. Because the drop deforms, however, lateral migration can occur even in the complete absence of inertia (or non-Newtonian) effects. In this problem, our goal is to formulate two... 

While the effect of Faxen (1922) is caused by viscous interaction of particles with the spatially... 

An exact analytic solution to the diffusion equation with constant D and s was given in 1938 by W.J. Archibald for the problem posed (Fujita 1975). However, it is sufficiently complex that its use in application to sedimentation experiments is difficult. To simplify the form of the solution, H. Faxen, as far back as 1929, had introduced the approximation of considering the sector cell to be infinitely extended, corresponding to We shall outline the solution... 

The symbolic operators (87)-(88) for the sphere possess a greater degree of generality than do Faxen s laws. In particular, if we consider any Stokes flow v(r, r/r) vanishing at infinity and satisfying the arbitrary boundary condition V = f(r/r) s f(0, < ) at r = a, then the force on the sphere may be obtained directly from the prescribed velocity boundary condition via the expression... 

---