“…The permeation model applied here was thoroughly described by Pisarev et al [19]. It assumes a flat concentration profile across the homogenous membrane to satisfy the SLR, but allows the asymmetry of the membrane upstream and downstream surfaces as a consequence of different surface treatments (cleaning, oxidation, adsorbed impurities, etc.)…”
Section: Permeation Model In the Slrmentioning
confidence: 99%
“…For established SSP at p a , the initial concentration in the membrane is C(t = 0) = C s (p a ) and the permeation flux of H atoms evolves as [19] …”
Section: Steady State and Transient Fluxmentioning
confidence: 99%
“…In short, the number of constraints is smaller than number of unknowns as already noted in ref. [19] for 0 → p a step change, while this is not the case for symmetric membrane where the unknown parameters can be determined as demonstrated by Grant et al [1,2,7]. To avoid this obstacle in the case of asymmetric membrane, the value of solubility is most often taken from the literature despite the considerable scatter and unreliability of K S values at low hydrogen pressures that can introduce a significant error in the subsequent determination of K L,1 and γ.…”
Section: Steady State and Transient Fluxmentioning
confidence: 99%
“…(16) however cease to hold with increasing T and so do Eqs. (18) and (19). The reason lies in the dissolved hydrogen in the membrane.…”
Section: Permeation Rate Behaviormentioning
confidence: 99%
“…In the present paper, we briefly describe the mathematical model for permeation in the SLR that was recently elaborated by Pisarev et al [19] and offers a good compromise between the model complexity and the number of unknown parameters. Further we show that it is impossible to determine the unknown parameters only from experimental data obtained with conventional measurements of permeation flow through the membrane in a single direction.…”
“…The permeation model applied here was thoroughly described by Pisarev et al [19]. It assumes a flat concentration profile across the homogenous membrane to satisfy the SLR, but allows the asymmetry of the membrane upstream and downstream surfaces as a consequence of different surface treatments (cleaning, oxidation, adsorbed impurities, etc.)…”
Section: Permeation Model In the Slrmentioning
confidence: 99%
“…For established SSP at p a , the initial concentration in the membrane is C(t = 0) = C s (p a ) and the permeation flux of H atoms evolves as [19] …”
Section: Steady State and Transient Fluxmentioning
confidence: 99%
“…In short, the number of constraints is smaller than number of unknowns as already noted in ref. [19] for 0 → p a step change, while this is not the case for symmetric membrane where the unknown parameters can be determined as demonstrated by Grant et al [1,2,7]. To avoid this obstacle in the case of asymmetric membrane, the value of solubility is most often taken from the literature despite the considerable scatter and unreliability of K S values at low hydrogen pressures that can introduce a significant error in the subsequent determination of K L,1 and γ.…”
Section: Steady State and Transient Fluxmentioning
confidence: 99%
“…(16) however cease to hold with increasing T and so do Eqs. (18) and (19). The reason lies in the dissolved hydrogen in the membrane.…”
Section: Permeation Rate Behaviormentioning
confidence: 99%
“…In the present paper, we briefly describe the mathematical model for permeation in the SLR that was recently elaborated by Pisarev et al [19] and offers a good compromise between the model complexity and the number of unknown parameters. Further we show that it is impossible to determine the unknown parameters only from experimental data obtained with conventional measurements of permeation flow through the membrane in a single direction.…”
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