Paper sizing, fundamentals

The modern discipline of Materials Science and Engineering can be described as a search for experimental and theoretical relations between a material s processing, its resulting microstructure, and the properties arising from that microstructure. These relations are often complicated, and it is usually difficult to obtain closed-form solutions for them. For that reason, it is often attractive to supplement experimental work in this area with numerical simulations. During the past several years, we have developed a general finite element computer model which is able to capture the essential aspects of a variety of nonisothermal and reactive polymer processing operations. This "flow code" has been Implemented on a number of computer systems of various sizes, and a PC-compatible version is available on request. This paper is intended to outline the fundamentals which underlie this code, and to present some simple but illustrative examples of its use. 

The primary factor controlling how much gas is in the form of discontinuous bubbles is the lamellae stability. As lamellae rupture, the bubble size or texture increases. Indeed, if bubble coalescence is very rapid, then most all of the gas phase will be continuous and the effectiveness of foam as a mobility-control fluid will be lost. This paper addresses the fundamental mechanisms underlying foam stability in oil-free porous media. 

The purpose of this paper Is to present a brief overview and description of a modelling approach we are taking which Is aimed at developing a quantitative understanding of the mechanisms and separation capabilities of particle column chromatography. The main emphasis has been on the application of fundamental treatments of the convected motion and porous phase partitioning behavior of charged Brownian particles to the development of a mechanistic rate theory which can account for the unique size and electrochemical dependent separation behavior exhibited by such systems. 

The problems of phase transition always deeply interested Ya.B. The first work carried out by him consisted in experimentally determining the nature of memory in nitroglycerin crystallization [8]. In the course of this work, questions of the sharpness of phase transition, the possibility of existence of monocrystals in a fluid at temperatures above the melting point, and the kinetics of phase transition were discussed. It is no accident, therefore, that 10 years later a fundamental theoretical study was published by Ya.B. (10) which played an enormous role in the development of physical and chemical kinetics. The paper is devoted to calculation of the rate of formation of embryos—vapor bubbles—in a fluid which is in a metastable (superheated or even stretched, p < 0) state. Ya.B. assumed the fluid to be far from the boundary of absolute instability, so that only embryos of sufficiently large (macroscopic) size were thermodynamically efficient, and calculated the probability of their formation. The paper generated extensive literature even though the problem to this day cannot be considered solved with accuracy satisfying the needs of experimentalists. Particular difficulties arise when one attempts to calculate the preexponential coefficient. 

The use of in analyzing data from pilot units was proposed by Krambeck in the early 1970 s and has been used in Mobil since then. More recently, the same concept has been published in the open literature, and the reciprocal of kg is defined as UOP dynamic activity (14). The dynamic activity is now popularly used in the FCC literature, and is even used to correlate catalyst performance with fundamental catalyst parameters such as unit cell size (15). In this paper, however, we will use the Mobil defined kg parameter. 

As early as 1669 the Danish crystallographer Steno made a detailed study of ideal and distorted quartz crystals (Figure 9-5). He traced their outlines on paper and found that the corresponding angles of different sections were always the same regardless of the actual sizes and shapes of the sections. Thus, all quartz crystals, however much distorted from the ideal, could result from the same fundamental mode of growth and, accordingly, corresponded to the same inner structure. 

In this special volume on polymer particles, recent trends and developments in the synthesis of nano- to micron-sized polymer particles by radical polymerization of vinyl monomers in environmentally friendly heterogeneous aqueous and supercritical carbon dioxide fluid media are reviewed by prominent worldwide researchers. Polymer particles are prepared extensively as synthetic emulsions and latexes, which are applied as binders in the industrial fields of paint, paper and inks, and films such as adhesives and coating materials. Considerable attention has recently been directed towards aqueous dispersed systems due to the increased awareness of environmental issues. Moreover, such polymer particles have already been applied to more advanced fields such as bio-, information, and electronic technologies. In addition to the obvious commercial importance of these techniques, it is of fundamental scientific interest to completely elucidate the mechanistic details of macromolecule synthesis in the microreactors that the polymer particles in these heterogeneous systems constitute. 

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