By P.K. Chatterjee, B.S. Gupta
This book discusses the theoretical points of absorbency in addition to the constitution, houses and function of fabrics. The chapters are prepared in an procedure for the reader to develop steadily via basic theories of absorbency to simpler facets of the know-how. themes coated comprise medical rules of absorbency and constitution estate relationships; fabric know-how together with tremendous absorbents, non-woven, common and artificial fibres and surfactants; absorbency dimension ideas and expertise point of view. The reader is supplied with present prestige info on expertise and can also be proficient on very important advancements in the box.
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2. Idealized Examples with Constant Diffusivity Coefficient Consider a one-dimensional case of eq. 23 where F(s) is a constant F1, and the long strip of sample is originally dry and at time t = 0 one end of the sample contacts the fluid . Equation 23 becomes: Os 02s a t = F, ax---r (24) with the following boundary conditions: at t = 0, s (x, 0) = 0; sample is originally dry; atx = 0, s (0, t) = 1; one end of sample is contacting the fluid and is 100% saturated; at large x, s (x, t) = 0; sample is dry far ahead of the advancing fluid front.
As more interactive liquid comes in contact with fibers, a fibrillar unzipping type of mechanism occurs . As swelling begins, more hydroxyl groups become accessible to accommodate more liquid, which opens up the structure and causes more swelling. However, if the interactive liquid is just water, inaccessible hydroxyl groups present in the amorphous region become available, but the bulk of those in the crystalline regions remain inaccessible throughout the process. It is generally accepted that qualitatively most of the areas available for water are in the non-crystalline regions and that the crystalline lattices serve as a kind of "pseudo-crosslinks" which impose an elastic constraint (and thus a limit) on the swelling process.
The solution to this problem, according to Carslaw and Jaeger (ref. 83, p. 101) is: s = 1! L0 s o(x')dx' + 2 ~ L0 x--1 e _v, y~,~~~/ L~o cos j ZX ]:o L0 s o (x') cos j ZX' L0 dx' (27) 21 100 2000 sec 8O 60 g ~ 4o 0 5 10 15 20 Distance from contacting liquid surface (crn) Fig. 6. Saturation ~rofiles during absorption along the length of sample of finite length L0 20 cm, according to eq. 20 cm/s. where x" is a dummy variable for integration. Figure 7 shows the saturation profiles as the liquid redistributes itself from the initial state obtained from the 100-sec curve of Fig.