scholarly journals Theoretical Analysis of Net Tracer Flux Due to Volume Circulation in a Membrane with Pores of Different Sizes

1971 ◽  
Vol 57 (2) ◽  
pp. 113-124 ◽  
Author(s):  
Clifford S. Patlak ◽  
Stanley I. Rapoport

When osmotic pressure across an artificial membrane, produced by a permeable electrically neutral solute on one side of it, is balanced by an external pressure difference so that there is no net volume flow across the membrane, it has been found that there will be a net flux of a second electrically neutral tracer solute, present at equal concentrations on either side of the membrane, in the direction that the "osmotic" solute diffuses. This has been ascribed to solute-solute interaction or drag between the tracer and the osmotic solutes. An alternative model, presented here, considers the membrane to have pores of different sizes. Under general assumptions, this "heteroporous" model will account for both the direction of net tracer flux and the observed linear dependence of unidirectional tracer fluxes on the concentration of the osmotic solute. The expressions for the fluxes of solutes and solvent are mathematically identical under the two models. An inequality is derived which must be valid if the solute interaction model and/or the heteroporous model can account for the data. If the inequality does not hold, then the heteroporous model alone cannot explain the data. It was found that the inequality holds for most published observations except when dextran is the osmotic solute.

2013 ◽  
Vol 760-762 ◽  
pp. 2263-2266
Author(s):  
Kang Yong ◽  
Wei Chen

Beside the residual stresses and axial loads, other factors of pipe like ovality, moment could also bring a significant influence on pipe deformation under external pressure. The Standard of API-5C3 has discussed the influences of deformation caused by yield strength of pipe, pipe diameter and pipe thickness, but the factor of ovality degree is not included. Experiments and numerical simulations show that with the increasing of pipe ovality degree, the anti-deformation capability under external pressure will become lower, and ovality affecting the stability of pipe shape under external pressure is significant. So it could be a path to find out the mechanics relationship between ovality and pipe deformation under external pressure by the methods of numerical simulations and theoretical analysis.


2019 ◽  
Vol 165 ◽  
pp. 103-106 ◽  
Author(s):  
S.I. Rao ◽  
E. Antillon ◽  
C. Woodward ◽  
B. Akdim ◽  
T.A. Parthasarathy ◽  
...  

1975 ◽  
Vol 228 (2) ◽  
pp. 581-595 ◽  
Author(s):  
CA Berry ◽  
EL Boulpaep

Micropuncture experiments were performed on Necturus proximal tubule using stationary microperfusion and microrecollection techniques. The transepithelial movement of the extracellular marker, sucrose, was used to investigate the passive permeability of the paracellular shunt pathway under steady-state conditions, during spontaneous reabsorption and water flow induced by an external osmotic gradient. Measurements were made of the sucrose permeability (P-s) efflux, net flux, and of net volume flow. True P-s determined in the absence of net volume flow and transepithelial gradient was 0.96 10-6 cm s-1. Both ouabain and isotonic volume expansion decreased shunt P-s. During reabsorption, solute-coupled water flow increased apparent P-s and net sucrose flux equalled efflux. Osmotic water flow from lumen to plasma decreased apparent P-s, with net sucrose flux equal to efflux; whereas osmotic flow from plasma to lumen increased apparent P-s but no net flux was observed. It is concluded that changes in P-s can be interpreted as relative alterations of the tight junction and the lateral spaces and that a portion of the volume flow from lumen to plasma proceeds via the tight junction.


1993 ◽  
Vol 37 (01) ◽  
pp. 77-85
Author(s):  
C. T. F. Ross ◽  
A. Palmer

A theoretical and experimental investigation into the general instability of nine swedge-stiffened circularcylinders under uniform external pressure is described. The investigation found that most of the vesselssuffered plastic general instability, and that initial out-of-roundness played a significant role in the magnitude of the elastic knockdown. The theoretical analysis was based on the finite-element method, and a thinness ratio is proposed from which one can determine a plastic reduction factor when more experimental results are available.


1982 ◽  
Vol 22 (05) ◽  
pp. 609-615 ◽  
Author(s):  
T. Kyogoku ◽  
K. Tokimasa ◽  
H. Nakanishi ◽  
T. Okazawa

Abstract This paper discusses a newly developed collapse testing machine that permits investigation of practical performances of oilwell casings. Although a theoretical performances of oilwell casings. Although a theoretical analysis has shown that "axial tension stress has no effect on collapse pressure in the elastic case," this theory is not applied to the design of casing string because of lack of useful experimental data or authorized recommendation. To investigate the effect of axial tension load, full-size commercial casings have been tested under combined loading of axial tension load and external pressure. From the experimental results, the theory mentioned was proved in the case of so-called high-collapse casing, which has been used widely in recent years. Also shown is the applicable d/h range, which is wider than API's elastic collapse range. If the results of this experiment were applied to the design of a casing program, an economical and safe one could be obtained. program, an economical and safe one could be obtained. Introduction Recently, improved drilling techniques have permitted deeper and deeper oil and gas wells. As well depth increases, steel pipes for well casings receive greater external pressure and axial tension load because of the weight of the casing string. High-collapse casing, which has higher collapse strength per unit weight, has become easily available. To select and to design casing for such wells properly and economically, estimating collapse strength of the casing under axial tension load is very important. Much research and many experiments concerning collapse problems on casing, drillpipe, and tubing has been conducted by 1939. A theoretical analysis showed that axial tension stress lowers the collapse pressure in the case of plastic collapse and that axial tension stress has no effect on collapse pressure in the elastic case. Although collapse tests under axial tension load simulating oilwell casing in service were conducted on 2-in.-OD tubings, the theory for the effect of axial tension stress in the elastic collapse had not been proved sufficiently. There are few published experimental proved sufficiently. There are few published experimental data on collapse strength under axial tension load. In 1968, API summarized the collapse data and showed the formulas for collapse pressure and for collapse pressure under axial tension stress in the case of plastic collapse. The purpose of our study is to show how the collapse strength of commercial casings with large OD's behaves under the axial tension load, especially in the case of elastic collapse. To test the large-size casings, a multipurpose collapse testing machine that can simulate the service condition of oilwell casing has been developed. Statement of the Problem The collapse strength of casings under combined external pressure and axial tension load may be calculated from pressure and axial tension load may be calculated from Ref. 6's Formula 1.1.5.1: ....................(1) SPEJ p. 609


1979 ◽  
Vol 6 (1) ◽  
pp. 69 ◽  
Author(s):  
H Greenway ◽  
T.L Setter

Net synthesis of proline, the main osmotic solute in C. emersonii, showed a lag of at least 15 min following transfer of cells from 1 m~ NaCl to concentrations ranging between 25 and 335 m~ NaCl. During the subsequent period of rapid net proline synthesis, the maximum rates were approximately linearly related to the decreases in external osmotic potential (YJ until the cells plasmolysed. Beyond the point of incipient plasmolysis, further large decreases in Y* did not change the maximum rates of proline synthesis. The steady-state levels of proline were lower, and were reached faster, the smaller the decreases in external Ys. Overall these results support the notion that turgor potential has a regulating role in the synthesis of osmotic solutes. Sucrose synthesis showed no lag and was rapid even in plasmolysed cells. Cycloheximide inhibited formation of proline but not of sucrose. This, together with the lag phase of 15 min in proline synthesis, indicated that transfer of C. emersonii to high NaCl induced de novo synthesis of enzymes involved in proline formation. Effects of DCMU and darkness were also measured. Cells transferred to 125 m~ NaCl still showed substantial net synthesis of sucrose, but not of proline. Supply of glucose in the dark did not lead to proline formation, but it did stimulate proline synthesis which occurred when glutamate was supplied.


1980 ◽  
Vol 49 (5) ◽  
pp. 905-909 ◽  
Author(s):  
M. J. Welsh ◽  
J. H. Widdicombe ◽  
J. A. Nadel

We measured the rate of fluid movement across the tracheal epithelium of the dog by an electrical method, modified from that originally described by Wiedner (Rev. Sci. Instrum. 47: 775-6, 1976). The base-line volume flow (Jv) from the submucosa to the mucosa was 44 +/- 23 nl.min-1.cm-2 (mean +/- SE; n = 6). In only three of the tissues was the resting Jv significantly greater than zero. Stimulation with 2 X 10(-3) M aminophylline (a drug that we have shown stimulates Cl secretion under short-circuit conditions) increased Jv in all tissues to a mean of 137 +/- 29 nl.min-1.cm-2 (P < 0.001). We also measured the unidirectional fluxes of Cl with the tissue at its spontaneous electrical potential. During the base-line period, the net flux of Cl was not significantly different from zero. During stimulation with aminophylline, Cl secretion increased to a mean of 1.44 +/- 0.50 microneq.cm-2.h-1. Comparison of the stimulated values of Jv and net Cl secretion suggests that fluid secretion by the trachea is isotonic during stimulation with aminophylline.


1997 ◽  
Vol 05 (03) ◽  
pp. 389-401
Author(s):  
Junli Liu ◽  
John W. Crawford ◽  
Roberto Viola

A theoretical analysis of the effect of pyrophosphate,fructose 6-P,1-phosphotransferase (PFP) on energy dissipation in the conversion of fructose 6-phosphate to fructose 1,6-bisphosphate is presented. The conclusion depends sensitively on whether PFP is in equilibrium, or catalyses a net flux in the directions of gluconeogenesis or glycolysis. It is shown that the conditions under which PFP is in equilibrium are rather restricted. Furthermore, experimental evidence supports the theoretical prediction that PFP catalyses a net flux in real systems. When PFP catalyses a net glycolytic flux, the system where both PFP and PFK are active always dissipates less energy than the system where only PFK exists. However, when PFP catalyses a net flux in gluconeogenesis, the PFK-PFP system dissipates more energy than the system where only PFK exists. By comparing the theoretical work with experimental results, the evidence suggests that PFP in higher plant cells catalyses a net glycolytic flux, and its presence increases the energetic efficiency of glycolysis.


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