{"id":{"repo_id":"greece","oai_identifier":"oai:10442/1289"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/1289","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"Αναλυτική επίλυση μη γραμμικών προβλημάτων διήθησης","abstract":"STUDY OF THE ONE DIMENSIONAL HORIZONTAL WATER ABSORPTION IN UNSATURATED SOILS WITH CONSTANT FLUX BOUNDARY CONDITION. THE GENERAL DIFFERENTIAL EQUATION OF THE ONE DIMENSIONAL UNSATURATED FLOW IS FORMED HAVING THE FLUX AS DEPENDENT VARIABLE WHILE THE TIME T AND THE MOISTURE Θ ARE THE INDEPENDENT VARIABLES. SIMPLE APPROXIMATE ANALYTICAL SOLUTIONS OF THE PROBLEM ARE PRESENTED BASED ON THE ABOVE MENTIONED DIFFERENTIAL EQUATION. THE FOLLOWING DISTINCT CASES ARE STUDIED. A) THE DIFFURIVITY IS ASSUMED TO BE AN EXPONENTLY FUNCTION, B) THE DIFFURIVITY IS ASSUMED TO BE A LINEAR FUNCTION, C) THE DIFFURIVITY IS ASSUMED TO BE A FUNCTION D=Γ(Θ-ΘΟ)Δ.","abstract_html":"STUDY OF THE ONE DIMENSIONAL HORIZONTAL WATER ABSORPTION IN UNSATURATED SOILS WITH CONSTANT FLUX BOUNDARY CONDITION. THE GENERAL DIFFERENTIAL EQUATION OF THE ONE DIMENSIONAL UNSATURATED FLOW IS FORMED HAVING THE FLUX AS DEPENDENT VARIABLE WHILE THE TIME T AND THE MOISTURE Θ ARE THE INDEPENDENT VARIABLES. SIMPLE APPROXIMATE ANALYTICAL SOLUTIONS OF THE PROBLEM ARE PRESENTED BASED ON THE ABOVE MENTIONED DIFFERENTIAL EQUATION. THE FOLLOWING DISTINCT CASES ARE STUDIED. A) THE DIFFURIVITY IS ASSUMED TO BE AN EXPONENTLY FUNCTION, B) THE DIFFURIVITY IS ASSUMED TO BE A LINEAR FUNCTION, C) THE DIFFURIVITY IS ASSUMED TO BE A FUNCTION D=Γ(Θ-ΘΟ)Δ.","abstract_has_math":false,"creators":["Τζιώλας, Θεόδωρος"],"institution":"Aristotle University Of Thessaloniki (AUTH)","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1989,"date_issued":"1989","date_published":"1989","updated_at":"2026-07-24T02:24:49Z","subjects":["Ακόρεστη ροή","Αναλυτικές λύσεις","Διήθηση","Έδαφος, Κίνηση νερού","Μονοδιάστατη διήθηση","Σταθερής παροχής διήθηση","Υγρασίας ροή","Absorption","Analytical solutions","Constant flux absorption","Flux-concentration relation","Moisture flow","One dimensional absorption","Unsaturated flow","Water movement in soils","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Πολιτικού Μηχανικού","Engineering and Technology","Civil Engineering"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1289"],"render_values":[{"text":"10.12681/eadd/1289","href":"https://doi.org/10.12681/eadd/1289","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/1289","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Τζιώλας, Θεόδωρος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1989"]},{"key":"dc:publisher","label":"Institution","values":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Ακόρεστη ροή","Αναλυτικές λύσεις","Διήθηση","Έδαφος, Κίνηση νερού","Μονοδιάστατη διήθηση","Σταθερής παροχής διήθηση","Υγρασίας ροή","Absorption","Analytical solutions","Constant flux absorption","Flux-concentration relation","Moisture flow","One dimensional absorption","Unsaturated flow","Water movement in soils","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Πολιτικού Μηχανικού","Engineering and Technology","Civil Engineering"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1289","http://hdl.handle.net/10442/hedi/1289"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["STUDY OF THE ONE DIMENSIONAL HORIZONTAL WATER ABSORPTION IN UNSATURATED SOILS WITH CONSTANT FLUX BOUNDARY CONDITION. THE GENERAL DIFFERENTIAL EQUATION OF THE ONE DIMENSIONAL UNSATURATED FLOW IS FORMED HAVING THE FLUX AS DEPENDENT VARIABLE WHILE THE TIME T AND THE MOISTURE Θ ARE THE INDEPENDENT VARIABLES. SIMPLE APPROXIMATE ANALYTICAL SOLUTIONS OF THE PROBLEM ARE PRESENTED BASED ON THE ABOVE MENTIONED DIFFERENTIAL EQUATION. THE FOLLOWING DISTINCT CASES ARE STUDIED. A) THE DIFFURIVITY IS ASSUMED TO BE AN EXPONENTLY FUNCTION, B) THE DIFFURIVITY IS ASSUMED TO BE A LINEAR FUNCTION, C) THE DIFFURIVITY IS ASSUMED TO BE A FUNCTION D=Γ(Θ-ΘΟ)Δ.","ΜΕΛΕΤΗ ΤΗΣ ΑΚΟΡΕΣΤΗΣ ΜΟΝΟΔΙΑΣΤΑΤΗΣ ΔΙΗΘΗΣΗΣ ΤΩΝ ΝΕΡΩΝ ΣΤΟ ΕΔΑΦΟΣ ΜΕ ΣΥΝΘΗΚΗ ΣΤΑΘΕΡΗΣ ΠΑΡΟΧΗΣ ΣΤΟ ΟΡΙΟ, ΧΩΡΙΣ ΝΑ ΛΑΜΒΑΝΕΤΑΙ ΥΠΟΨΗ Η ΕΠΙΔΡΑΣΗ ΤΗΣ ΒΑΡΥΤΗΤΑΣ. ΔΙΑΤΥΠΩΝΕΤΑΙ Η ΓΕΝΙΚΗ ΔΙΑΦΟΡΙΚΗ ΕΞΙΣΩΣΗ ΤΗΣ ΜΟΝΟΔΙΑΣΤΑΤΗΣ ΑΚΟΡΕΣΤΗΣ ΡΟΗΣ ΜΕ ΕΞΑΡΤΗΜΕΝΗ ΜΕΤΑΒΛΗΤΗ ΤΗΝ ΠΑΡΟΧΗ ΚΑΙ ΑΝΕΞΑΡΤΗΤΕΣ ΤΟ ΧΡΟΝΟ Τ ΚΑΙ ΤΗΝ ΠΕΡΙΕΚΤΙΚΟΤΗΤΑ ΣΕ ΥΓΡΑΣΙΑ Θ, ΚΑΙ ΜΕ ΒΑΣΗ ΤΗΝ ΔΙΑΦΟΡΙΚΗ ΕΞΙΣΩΣΗ ΑΥΤΗ ΠΑΡΟΥΣΙΑΖΟΝΤΑΙ ΑΠΛΕΣ ΑΝΑΛΥΤΙΚΕΣ ΛΥΣΕΙΣ ΤΟΥ ΠΡΟΒΛΗΜΑΤΟΣ ΓΙΑ ΤΙΣ ΕΞΗΣ ΠΕΡΙΠΤΩΣΕΙΣ: Α) ΣΥΝΤΕΛΕΣΤΗΣ ΔΙΑΧΥΣΗΣ ΕΚΘΕΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗ ΤΗΣ ΥΓΡΑΣΙΑΣ, Β) ΣΥΝΤΕΛΕΣΤΗΣ ΔΙΑΧΥΣΗΣ ΓΡΑΜΜΙΚΗ ΣΥΝΑΡΤΗΣΗ ΤΗΣ ΥΓΡΑΣΙΑΣ, Γ) ΣΥΝΤΕΛΕΣΤΗΣ ΔΙΑΧΥΣΗΣ ΤΗΣ ΜΟΡΦΗΣ D=Γ(Θ-ΘΟ)Δ."]},{"key":"dc:title","label":"Title","values":["Αναλυτική επίλυση μη γραμμικών προβλημάτων διήθησης","Analyticla solutions of nonlinear absorption problems"]}]}],"canonical_facts":{"dc:creator":["Τζιώλας, Θεόδωρος"],"dc:date":["1989"],"dc:description":["STUDY OF THE ONE DIMENSIONAL HORIZONTAL WATER ABSORPTION IN UNSATURATED SOILS WITH CONSTANT FLUX BOUNDARY CONDITION. THE GENERAL DIFFERENTIAL EQUATION OF THE ONE DIMENSIONAL UNSATURATED FLOW IS FORMED HAVING THE FLUX AS DEPENDENT VARIABLE WHILE THE TIME T AND THE MOISTURE Θ ARE THE INDEPENDENT VARIABLES. SIMPLE APPROXIMATE ANALYTICAL SOLUTIONS OF THE PROBLEM ARE PRESENTED BASED ON THE ABOVE MENTIONED DIFFERENTIAL EQUATION. THE FOLLOWING DISTINCT CASES ARE STUDIED. A) THE DIFFURIVITY IS ASSUMED TO BE AN EXPONENTLY FUNCTION, B) THE DIFFURIVITY IS ASSUMED TO BE A LINEAR FUNCTION, C) THE DIFFURIVITY IS ASSUMED TO BE A FUNCTION D=Γ(Θ-ΘΟ)Δ.","ΜΕΛΕΤΗ ΤΗΣ ΑΚΟΡΕΣΤΗΣ ΜΟΝΟΔΙΑΣΤΑΤΗΣ ΔΙΗΘΗΣΗΣ ΤΩΝ ΝΕΡΩΝ ΣΤΟ ΕΔΑΦΟΣ ΜΕ ΣΥΝΘΗΚΗ ΣΤΑΘΕΡΗΣ ΠΑΡΟΧΗΣ ΣΤΟ ΟΡΙΟ, ΧΩΡΙΣ ΝΑ ΛΑΜΒΑΝΕΤΑΙ ΥΠΟΨΗ Η ΕΠΙΔΡΑΣΗ ΤΗΣ ΒΑΡΥΤΗΤΑΣ. ΔΙΑΤΥΠΩΝΕΤΑΙ Η ΓΕΝΙΚΗ ΔΙΑΦΟΡΙΚΗ ΕΞΙΣΩΣΗ ΤΗΣ ΜΟΝΟΔΙΑΣΤΑΤΗΣ ΑΚΟΡΕΣΤΗΣ ΡΟΗΣ ΜΕ ΕΞΑΡΤΗΜΕΝΗ ΜΕΤΑΒΛΗΤΗ ΤΗΝ ΠΑΡΟΧΗ ΚΑΙ ΑΝΕΞΑΡΤΗΤΕΣ ΤΟ ΧΡΟΝΟ Τ ΚΑΙ ΤΗΝ ΠΕΡΙΕΚΤΙΚΟΤΗΤΑ ΣΕ ΥΓΡΑΣΙΑ Θ, ΚΑΙ ΜΕ ΒΑΣΗ ΤΗΝ ΔΙΑΦΟΡΙΚΗ ΕΞΙΣΩΣΗ ΑΥΤΗ ΠΑΡΟΥΣΙΑΖΟΝΤΑΙ ΑΠΛΕΣ ΑΝΑΛΥΤΙΚΕΣ ΛΥΣΕΙΣ ΤΟΥ ΠΡΟΒΛΗΜΑΤΟΣ ΓΙΑ ΤΙΣ ΕΞΗΣ ΠΕΡΙΠΤΩΣΕΙΣ: Α) ΣΥΝΤΕΛΕΣΤΗΣ ΔΙΑΧΥΣΗΣ ΕΚΘΕΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗ ΤΗΣ ΥΓΡΑΣΙΑΣ, Β) ΣΥΝΤΕΛΕΣΤΗΣ ΔΙΑΧΥΣΗΣ ΓΡΑΜΜΙΚΗ ΣΥΝΑΡΤΗΣΗ ΤΗΣ ΥΓΡΑΣΙΑΣ, Γ) ΣΥΝΤΕΛΕΣΤΗΣ ΔΙΑΧΥΣΗΣ ΤΗΣ ΜΟΡΦΗΣ D=Γ(Θ-ΘΟ)Δ."],"dc:identifier":["10.12681/eadd/1289","http://hdl.handle.net/10442/hedi/1289"],"dc:language":["gre"],"dc:publisher":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"],"dc:subject":["Ακόρεστη ροή","Αναλυτικές λύσεις","Διήθηση","Έδαφος, Κίνηση νερού","Μονοδιάστατη διήθηση","Σταθερής παροχής διήθηση","Υγρασίας ροή","Absorption","Analytical solutions","Constant flux absorption","Flux-concentration relation","Moisture flow","One dimensional absorption","Unsaturated flow","Water movement in soils","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Πολιτικού Μηχανικού","Engineering and Technology","Civil Engineering"],"dc:title":["Αναλυτική επίλυση μη γραμμικών προβλημάτων διήθησης","Analyticla solutions of nonlinear absorption problems"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:24:49Z"}