Infinite Slit Length

V Vu w(a,p,y) w(N, r) W t) wq volume of a polymer segment. 6.1.1.3 scattering volume. 1.2.2 unit cell volume. 3.3.1 crystallite orientation distribution function. 3.6.3 end-to-end distribution of a Gaussian chain. 5.2.1 [5.12] slit-length weighting function. 5.6.1 constant value of W(t) with infinite slit approximation. 5.6.3... 

By computing a series of model single-pore isotherms for nitrogen adsorption at 77 K, Seaton, Gubbins, Olivier, Quirke and their co-workers (see Gubbins, 1997 Olivier, 1995) have been able to make use of Equation (8.6) in order to determine the micropore size distribution. It is assumed that all the pores are of the same shape (i.e. slits or cylinders of semi-infinite length) and that the distribution,... 

Since Eq. (3.42) was derived for a slit-like pore, its application to other geometries, such as cylindrical pores, requires further consideration. Saito and Foley [31] followed the same procedure as that used by Horvath and Kawazoe to derive an equation for cylindrical pores with specific applications to the determination of pore size distribution in zeolites. In addition to using a cylindrical potential energy function, they also made the following assumptions (1) a perfect cylindrical pore with infinite length (2) The formation of the inside wall of the cylinder by a single layer of atoms (oxide ions in the case of zeolites) and (3) adsorption taking place only on the inside wall of the cylinder and due, only, to the adsorbate and adsorbent interactions. The final equations derived by Saito and Foley are... 

In this study, as for the PSD study, a slit-shjqped carbon pore has been used and only the distribution of the pore widths has been considered since the length and breadth of the pores are assumed to be senu-infinite. 

Phase transitions of confined fluids were extensively studied by various theoretical approaches and by computer simulations (see Refs. [28, 278] for review). The modification of the fluid phase diagrams in confinement was extensively studied theoretically for two main classes of porous media single pores (stit-Uke and cylindrical) and disordered porous systems. In a slit-like pore, there are true phase transitions that assume coexistence of infinite phases. Accordingly, the liquid-vapor critical point is a true critical point, which belongs to the universality class of 2D Ising model. Asymptotically close to the pore critical point, the coexistence curve in slit pore is characterized by the critical exponent of the order parameter = 0.125. The crossover from 3D critical behavior at low temperature to the 2D critical behavior near the critical point occurs when the 3D correlation length becomes comparable with the pore width i/p. 

Slit die A slit die is a rectangular duct whose width W is infinitely larger than the height H (W H or H/W = 0). An analogous approach with equations (1) to (4) leads to the relation between AP and x in a slit die of length L. 

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