{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/72448"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/72448","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Transition Flow in Edge Plasmas: Solution of the Two-Fluid Region With Sources","abstract":"In the context of the transition flow between highly collisional plasma and collisionless sheath, the linearized Fokker-Planck equation for the ions, in an intermediate collisionality region, is generalized to include an arbitrary source function. Nonisentropic effects due to the source function impact the isotropic part of the distribution function. A Legendre polynomial decomposition is performed up to an arbitrary order, and the problem for the first Legendre component is treated. Analytic expansions around zero and infinite velocities are performed, and a general solution for the distribution function is found. The treatment of the weakly collisional region, up to second order in the ratio of the mean free path over the scale height of the system, is discussed. The governing equations for this problem are laid out, and the methods of solving them are presented in detail.","abstract_html":"In the context of the transition flow between highly collisional plasma and collisionless sheath, the linearized Fokker-Planck equation for the ions, in an intermediate collisionality region, is generalized to include an arbitrary source function. Nonisentropic effects due to the source function impact the isotropic part of the distribution function. A Legendre polynomial decomposition is performed up to an arbitrary order, and the problem for the first Legendre component is treated. Analytic expansions around zero and infinite velocities are performed, and a general solution for the distribution function is found. The treatment of the weakly collisional region, up to second order in the ratio of the mean free path over the scale height of the system, is discussed. The governing equations for this problem are laid out, and the methods of solving them are presented in detail.","abstract_has_math":false,"creators":["Tiouririne-Ougouag, Tedjelmoulk Nedjla Zoubida"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Nuclear Engineering","degree_department":null,"school":null,"contributors":["Singer, Clifford E."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-17T22:36:15Z","date_published":"2014-12-17T22:36:15Z","updated_at":"2026-07-22T22:26:06Z","subjects":["Engineering, Nuclear","Physics, Fluid and Plasma"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI9305713"],"render_values":[{"text":"(UMI)AAI9305713","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/72448","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Singer, Clifford E."]},{"key":"dc:creator","label":"Author","values":["Tiouririne-Ougouag, Tedjelmoulk Nedjla Zoubida"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-17T22:36:15Z","10000-01-01","1992"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Nuclear Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, Nuclear","Physics, Fluid and Plasma"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/72448","(UMI)AAI9305713"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In the context of the transition flow between highly collisional plasma and collisionless sheath, the linearized Fokker-Planck equation for the ions, in an intermediate collisionality region, is generalized to include an arbitrary source function. Nonisentropic effects due to the source function impact the isotropic part of the distribution function. A Legendre polynomial decomposition is performed up to an arbitrary order, and the problem for the first Legendre component is treated. Analytic expansions around zero and infinite velocities are performed, and a general solution for the distribution function is found. The treatment of the weakly collisional region, up to second order in the ratio of the mean free path over the scale height of the system, is discussed. The governing equations for this problem are laid out, and the methods of solving them are presented in detail.","Made available in DSpace on 2014-12-17T22:36:15Z (GMT). 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Nonisentropic effects due to the source function impact the isotropic part of the distribution function. A Legendre polynomial decomposition is performed up to an arbitrary order, and the problem for the first Legendre component is treated. Analytic expansions around zero and infinite velocities are performed, and a general solution for the distribution function is found. The treatment of the weakly collisional region, up to second order in the ratio of the mean free path over the scale height of the system, is discussed. The governing equations for this problem are laid out, and the methods of solving them are presented in detail.","Made available in DSpace on 2014-12-17T22:36:15Z (GMT). No. of bitstreams: 1 9305713.pdf: 4678480 bytes, checksum: 88b4338d1c20a9b957f31df441a54a4a (MD5) Previous issue date: 1992","Embargo set by: Seth Robbins for item 72616 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","185 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1992."],"dc:identifier":["http://hdl.handle.net/2142/72448","(UMI)AAI9305713"],"dc:subject":["Engineering, Nuclear","Physics, Fluid and Plasma"],"dc:title":["Transition Flow in Edge Plasmas: Solution of the Two-Fluid Region With Sources"],"dc:type":["text"],"thesis:degree_discipline":["Nuclear Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:06Z"}