Expansion radial

More recently, Filatov has developed a Unear response theory for the isomer shift and used it in conjunction with ab initio methods [71-73]. In many respects, this theory is more rigorous than the cahbration approach described earlier. Hence, it will be briefly outhned here. Filatov considered a linear response treatment in which the perturbation was taken as the radial expansion of a finite sized nucleus. The resulting equation for the isomer shift is ... 

Detonation, Radial Expansion in. The term used by G.B. Kistiakowsky in Kirk 8t Othmer, Vol 5 (1950), p 958 for the phenomenon... 

Detonation, Sideways Expansion in. See Detonation, Lateral Expansion (Dispersion) and Lateral Loss in . Called by G.B. Kistiakowsky "radial expansion ... 

Kury et al (Ref 7) on the basis of theoretical considerations of 2-D detonations in metal cylinders, conclude that the terminal cylinder expansion velocity is reached after about a twofold radial expansion. Their exptl results (Refs 7 13) for Comp B, HMX, and many HMX mixts justify this theoretical conclusion... 

The radial expansions on the radial faces must recognize that the face area itself depends on r (i,t.,dAr = rdrdO). Thus the r must be retained inside the radial derivatives. 

Fig. 2. Video micrograph of exocytosis in a goblet cell grown in tissue culture. Notice that the swelling of a secretory granule has been captured at 3 consecutive times (inset). The radial expansion of the exocytosed granules follows a typical first-order kinetics. The continuous line is a non-linear least square fitting to the data points to r(t) = rf — (rf — rj e " /T, where r, and rr are the initial and final radius of the granule, and t is the characteristic relaxation time of swelling...

Radial Expansion. A method of making gun tubes by expanding steel cylinders under internal pressure until the interior diameter has been permanently enlarged. This method is also known as cold working and auto-frettage (Fr term meaning self-hooping )... 

Using the orthogonality of the spherical harmonics the radial expansion functions are given by... 

Edmonds (1974). The radial expansion functions Xj Ci1 R) fulfill coupled... 

The formation of RES and their evolution into post-solitons have been observed in three-dimensional simulations as well [14], The EM structure of the three-dimensional soliton is such that the electric field is poloidal and the magnetic field is toroidal. Therefore it is named a TM-soliton. The soliton core is characterized by an overall positive charge, resulting in its Coulomb explosion and in the acceleration of the ion. On the long time-scale, the quasi-neutral plasma cavity is subject to a slow continuous radial expansion, while the soliton amplitude decreases and the ion temperature increases. 

By using the multipole expansion, we in fact replace the exact radial expansion coefficients A (7 ) in Eq. (1-124) by the approximate coefficients A poi(-K), which are power series in R 1. Closed expressions for the latter have been given149 161 in terms of the irreducible spherical tensors of multipole moments and polarizabilities. 

The invidual components of the piping system like valves, branches, atomizing nozzles etc. are described by resistance coefficients. Furthermore the modeling of gas-charged dampeners and resonators is possible. The software simulates pressure losses in pipeline as well as radially expansion of pipes due to transition of pressure waves. 

A tangential stress, o% also exists in the cell wall in response to the internal pressure it limits the radial expansion of the cell. To determine the magnitude of this stress, we will consider a cell split in half along its axis (Fig. l-15b). The split part of the cell has an area of 2ti in the plane of the cut this area is acted on by the pressure P, leading to a force of (P)... 

Inhibition of primary and lateral root growth disruption of mitosis. Radial expansion near root tip. Root tip cells small, dense multi-nucleate, cells behind tip abnormally large, thin walled. 

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