{"id":{"repo_id":"the-open-u","oai_identifier":"oai:oro.open.ac.uk:56908"},"canonical_url":"https://search.dev.ndltd.org/etd/the-open-u/oai:oro.open.ac.uk:56908","repository":{"repo_id":"the-open-u","name":"The Open University","base_url":"https://oro.open.ac.uk/cgi/oai2"},"display":{"title":"Permeation studies of hydrogen in 304 and 316 stainless steel: the influence of surface oxides","abstract":"A time varying harmonically modulated flow method, analysed with a two rate constant surface reaction model, provides a series of permeation, P<sub>m</sub>, diffusion, D, and surface rate coefficients, k<sub>1</sub>, k<sub>2</sub>, for hydrogen passing through 304 and 316 stainless steel. The method developed here allows the evaluation of a consistent set of bulk metal values of D and P<sub>m</sub>, in the temperature range 502 < T/K < 963, despite wide ranging surface conditions, and are described by: <br></br><br></br>D<sub>304</sub>=(1.22±0.06)x10-<sup>8</sup>exp{[-(6.596±0.049)x10<sup>3</sup>/T]/K<sup>-1</sup>} m<sup>2</sup>s<sup>-1</sup> <br></br>P<sub>m304</sub>=(4.82±0.21)x10-<sup>7</sup>exp{[-(7.990±0.044)x10<sup>3</sup>/T]/K<sup>-1</sup>} molm 1s<sup>-1</sup>Pa<sup>-1/2</sup> <br></br>D<sub>316</sub>=(7.28±0.94)x10-<sup>7</sup>exp{[-(6.296±0.109)x10<sup>3</sup>/T]/K<sup>-1</sup>} m<sup>2</sup>s<sup>-1</sup> <br></br>P<sub>m316</sub>=(8.09±0.70)x10-<sup>7</sup>exp{[-(8.189±0.076)x10<sup>3</sup>/T]/K<sup>-1</sup>} molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1/2</sup> <br></br><br></br> When surfaces are treated to form a stable oxide layer, the surface reaction rate constants are found to be interpretable in terms of molecular flow of hydrogen through the oxide. The permeation coefficients, P<sub>mox</sub>, describing this flow are as follows: <br></br><br></br>P<sub>mox3o4</sub>=(1.43±0.29)x10<sup>-11</sup>exp([-7.661±0.081)x10<sup>3</sup>/T)/K<sup>-1</sup>) molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1</sup><br></br>P<sub>mox3ls</sub>=(5.36±2.68)x10<sup>-11</sup>exp{[-6.967±0.228)x10<sup>3</sup>/T)/K<sup>-1</sup>) molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1</sup>","abstract_html":"A time varying harmonically modulated flow method, analysed with a two rate constant surface reaction model, provides a series of permeation, P&lt;sub&gt;m&lt;/sub&gt;, diffusion, D, and surface rate coefficients, k&lt;sub&gt;1&lt;/sub&gt;, k&lt;sub&gt;2&lt;/sub&gt;, for hydrogen passing through 304 and 316 stainless steel. The method developed here allows the evaluation of a consistent set of bulk metal values of D and P&lt;sub&gt;m&lt;/sub&gt;, in the temperature range 502 &lt; T/K &lt; 963, despite wide ranging surface conditions, and are described by: &lt;br&gt;&lt;/br&gt;&lt;br&gt;&lt;/br&gt;D&lt;sub&gt;304&lt;/sub&gt;=(1.22±0.06)x10-&lt;sup&gt;8&lt;/sup&gt;exp{[-(6.596±0.049)x10&lt;sup&gt;3&lt;/sup&gt;/T]/K&lt;sup&gt;-1&lt;/sup&gt;} m&lt;sup&gt;2&lt;/sup&gt;s&lt;sup&gt;-1&lt;/sup&gt; &lt;br&gt;&lt;/br&gt;P&lt;sub&gt;m304&lt;/sub&gt;=(4.82±0.21)x10-&lt;sup&gt;7&lt;/sup&gt;exp{[-(7.990±0.044)x10&lt;sup&gt;3&lt;/sup&gt;/T]/K&lt;sup&gt;-1&lt;/sup&gt;} molm 1s&lt;sup&gt;-1&lt;/sup&gt;Pa&lt;sup&gt;-1/2&lt;/sup&gt; &lt;br&gt;&lt;/br&gt;D&lt;sub&gt;316&lt;/sub&gt;=(7.28±0.94)x10-&lt;sup&gt;7&lt;/sup&gt;exp{[-(6.296±0.109)x10&lt;sup&gt;3&lt;/sup&gt;/T]/K&lt;sup&gt;-1&lt;/sup&gt;} m&lt;sup&gt;2&lt;/sup&gt;s&lt;sup&gt;-1&lt;/sup&gt; &lt;br&gt;&lt;/br&gt;P&lt;sub&gt;m316&lt;/sub&gt;=(8.09±0.70)x10-&lt;sup&gt;7&lt;/sup&gt;exp{[-(8.189±0.076)x10&lt;sup&gt;3&lt;/sup&gt;/T]/K&lt;sup&gt;-1&lt;/sup&gt;} molm&lt;sup&gt;-1&lt;/sup&gt;s&lt;sup&gt;-1&lt;/sup&gt;Pa&lt;sup&gt;-1/2&lt;/sup&gt; &lt;br&gt;&lt;/br&gt;&lt;br&gt;&lt;/br&gt; When surfaces are treated to form a stable oxide layer, the surface reaction rate constants are found to be interpretable in terms of molecular flow of hydrogen through the oxide. The permeation coefficients, P&lt;sub&gt;mox&lt;/sub&gt;, describing this flow are as follows: &lt;br&gt;&lt;/br&gt;&lt;br&gt;&lt;/br&gt;P&lt;sub&gt;mox3o4&lt;/sub&gt;=(1.43±0.29)x10&lt;sup&gt;-11&lt;/sup&gt;exp([-7.661±0.081)x10&lt;sup&gt;3&lt;/sup&gt;/T)/K&lt;sup&gt;-1&lt;/sup&gt;) molm&lt;sup&gt;-1&lt;/sup&gt;s&lt;sup&gt;-1&lt;/sup&gt;Pa&lt;sup&gt;-1&lt;/sup&gt;&lt;br&gt;&lt;/br&gt;P&lt;sub&gt;mox3ls&lt;/sub&gt;=(5.36±2.68)x10&lt;sup&gt;-11&lt;/sup&gt;exp{[-6.967±0.228)x10&lt;sup&gt;3&lt;/sup&gt;/T)/K&lt;sup&gt;-1&lt;/sup&gt;) molm&lt;sup&gt;-1&lt;/sup&gt;s&lt;sup&gt;-1&lt;/sup&gt;Pa&lt;sup&gt;-1&lt;/sup&gt;","abstract_has_math":false,"creators":["Grant, David M."],"institution":"The Open University","degree_name":"phd","degree_level":"doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1984,"date_issued":"1984","date_published":"1984","updated_at":"2026-07-24T05:02:56Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Grant, David M."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1984"]},{"key":"dc:date.issued","label":"Date","values":["1984"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["The Open University"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://oro.open.ac.uk/56908/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["phd"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://oro.open.ac.uk/56908/1/355651.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A time varying harmonically modulated flow method, analysed with a two rate constant surface reaction model, provides a series of permeation, P<sub>m</sub>, diffusion, D, and surface rate coefficients, k<sub>1</sub>, k<sub>2</sub>, for hydrogen passing through 304 and 316 stainless steel. The method developed here allows the evaluation of a consistent set of bulk metal values of D and P<sub>m</sub>, in the temperature range 502 < T/K < 963, despite wide ranging surface conditions, and are described by: <br></br><br></br>D<sub>304</sub>=(1.22±0.06)x10-<sup>8</sup>exp{[-(6.596±0.049)x10<sup>3</sup>/T]/K<sup>-1</sup>} m<sup>2</sup>s<sup>-1</sup> <br></br>P<sub>m304</sub>=(4.82±0.21)x10-<sup>7</sup>exp{[-(7.990±0.044)x10<sup>3</sup>/T]/K<sup>-1</sup>} molm 1s<sup>-1</sup>Pa<sup>-1/2</sup> <br></br>D<sub>316</sub>=(7.28±0.94)x10-<sup>7</sup>exp{[-(6.296±0.109)x10<sup>3</sup>/T]/K<sup>-1</sup>} m<sup>2</sup>s<sup>-1</sup> <br></br>P<sub>m316</sub>=(8.09±0.70)x10-<sup>7</sup>exp{[-(8.189±0.076)x10<sup>3</sup>/T]/K<sup>-1</sup>} molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1/2</sup> <br></br><br></br> When surfaces are treated to form a stable oxide layer, the surface reaction rate constants are found to be interpretable in terms of molecular flow of hydrogen through the oxide. The permeation coefficients, P<sub>mox</sub>, describing this flow are as follows: <br></br><br></br>P<sub>mox3o4</sub>=(1.43±0.29)x10<sup>-11</sup>exp([-7.661±0.081)x10<sup>3</sup>/T)/K<sup>-1</sup>) molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1</sup><br></br>P<sub>mox3ls</sub>=(5.36±2.68)x10<sup>-11</sup>exp{[-6.967±0.228)x10<sup>3</sup>/T)/K<sup>-1</sup>) molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1</sup>"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Permeation studies of hydrogen in 304 and 316 stainless steel: the influence of surface oxides"]}]}],"canonical_facts":{"dc:creator":["Grant, David M."],"dc:date":["1984"],"dc:date.issued":["1984"],"dc:description.abstract":["A time varying harmonically modulated flow method, analysed with a two rate constant surface reaction model, provides a series of permeation, P<sub>m</sub>, diffusion, D, and surface rate coefficients, k<sub>1</sub>, k<sub>2</sub>, for hydrogen passing through 304 and 316 stainless steel. The method developed here allows the evaluation of a consistent set of bulk metal values of D and P<sub>m</sub>, in the temperature range 502 < T/K < 963, despite wide ranging surface conditions, and are described by: <br></br><br></br>D<sub>304</sub>=(1.22±0.06)x10-<sup>8</sup>exp{[-(6.596±0.049)x10<sup>3</sup>/T]/K<sup>-1</sup>} m<sup>2</sup>s<sup>-1</sup> <br></br>P<sub>m304</sub>=(4.82±0.21)x10-<sup>7</sup>exp{[-(7.990±0.044)x10<sup>3</sup>/T]/K<sup>-1</sup>} molm 1s<sup>-1</sup>Pa<sup>-1/2</sup> <br></br>D<sub>316</sub>=(7.28±0.94)x10-<sup>7</sup>exp{[-(6.296±0.109)x10<sup>3</sup>/T]/K<sup>-1</sup>} m<sup>2</sup>s<sup>-1</sup> <br></br>P<sub>m316</sub>=(8.09±0.70)x10-<sup>7</sup>exp{[-(8.189±0.076)x10<sup>3</sup>/T]/K<sup>-1</sup>} molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1/2</sup> <br></br><br></br> When surfaces are treated to form a stable oxide layer, the surface reaction rate constants are found to be interpretable in terms of molecular flow of hydrogen through the oxide. The permeation coefficients, P<sub>mox</sub>, describing this flow are as follows: <br></br><br></br>P<sub>mox3o4</sub>=(1.43±0.29)x10<sup>-11</sup>exp([-7.661±0.081)x10<sup>3</sup>/T)/K<sup>-1</sup>) molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1</sup><br></br>P<sub>mox3ls</sub>=(5.36±2.68)x10<sup>-11</sup>exp{[-6.967±0.228)x10<sup>3</sup>/T)/K<sup>-1</sup>) molm<sup>-1</sup>s<sup>-1</sup>Pa<sup>-1</sup>"],"dc:format":["application/pdf"],"dc:identifier.uri":["https://oro.open.ac.uk/56908/1/355651.pdf"],"dc:language":["en"],"dc:publisher.institution":["The Open University"],"dc:relation.isreferencedby":["https://oro.open.ac.uk/56908/"],"dc:title":["Permeation studies of hydrogen in 304 and 316 stainless steel: the influence of surface oxides"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["doctoral"],"dc:type.qualificationname":["phd"]},"updated_at":"2026-07-24T05:02:56Z"}