{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/50663"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/50663","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Modeling microwave heating of apple cylinders using hybrid mixture theory based transport equations coupled with Maxwell's laws of electromagnetism","abstract":"To develop an efficient microwave drying scheme for apple cylinders, a multiscale mathematical model was developed to predict the moisture and temperature profiles. Two-scale hybrid mixture theory (HMT) based transport equations were utilized to describe the fluid (water & gas phases) transport during the microwave drying of apple cylinders. Maxwell’s electromagnetic equations were coupled with HMT based transport equations to obtain heating source for evaporative moisture loss in the food matrix. A commercial finite element package (COMSOL Multiphysics ver 4.4) was employed to solve these equations in order to obtain the spatial and temporal profiles for moisture and temperature within the sample. The validation experiments were conducted with a domestic microwave oven. The comparison of the moisture profiles obtained through simulations and experiments resulted in an average absolute difference value of 37.9%. For comparison of experimental and predicted temperature values a parametric sweep was performed. The developed model could be employed efficiently for the prediction of the moisture distribution. The temperature change trend could also be predicted using the developed model.","abstract_html":"To develop an efficient microwave drying scheme for apple cylinders, a multiscale mathematical model was developed to predict the moisture and temperature profiles. Two-scale hybrid mixture theory (HMT) based transport equations were utilized to describe the fluid (water & gas phases) transport during the microwave drying of apple cylinders. Maxwell’s electromagnetic equations were coupled with HMT based transport equations to obtain heating source for evaporative moisture loss in the food matrix. A commercial finite element package (COMSOL Multiphysics ver 4.4) was employed to solve these equations in order to obtain the spatial and temporal profiles for moisture and temperature within the sample. The validation experiments were conducted with a domestic microwave oven. The comparison of the moisture profiles obtained through simulations and experiments resulted in an average absolute difference value of 37.9%. For comparison of experimental and predicted temperature values a parametric sweep was performed. The developed model could be employed efficiently for the prediction of the moisture distribution. The temperature change trend could also be predicted using the developed model.","abstract_has_math":false,"creators":["Deng, Jie"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Food Science & Human Nutrition","degree_department":null,"school":null,"contributors":["Takhar, Pawan"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-09-16T17:25:01Z","date_published":"2014-09-16T17:25:01Z","updated_at":"2026-07-22T22:25:40Z","subjects":["Microwave Drying","Hybrid Mixture Theory","Apple Cylinders"],"languages":["en"],"rights":["Copyright 2014 Jie Deng"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/50663","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Takhar, Pawan"]},{"key":"dc:creator","label":"Author","values":["Deng, Jie"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-09-16T17:25:01Z","2014-08","2014-09-16"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Food Science & Human Nutrition"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"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":["Microwave Drying","Hybrid Mixture Theory","Apple Cylinders"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2014 Jie Deng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/50663"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["To develop an efficient microwave drying scheme for apple cylinders, a multiscale mathematical model was developed to predict the moisture and temperature profiles. Two-scale hybrid mixture theory (HMT) based transport equations were utilized to describe the fluid (water & gas phases) transport during the microwave drying of apple cylinders. Maxwell’s electromagnetic equations were coupled with HMT based transport equations to obtain heating source for evaporative moisture loss in the food matrix. A commercial finite element package (COMSOL Multiphysics ver 4.4) was employed to solve these equations in order to obtain the spatial and temporal profiles for moisture and temperature within the sample. The validation experiments were conducted with a domestic microwave oven. The comparison of the moisture profiles obtained through simulations and experiments resulted in an average absolute difference value of 37.9%. For comparison of experimental and predicted temperature values a parametric sweep was performed. The developed model could be employed efficiently for the prediction of the moisture distribution. The temperature change trend could also be predicted using the developed model.","Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-07-24T13:13:51Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Deng_Jie.docx: 19484990 bytes, checksum: 6370d278c469aaaf057d63636d78c482 (MD5) Deng_Jie.pdf: 2121444 bytes, checksum: afce1899aceb3d77186772f03b0cff33 (MD5)","Made available in DSpace on 2014-09-16T17:25:01Z (GMT). No. of bitstreams: 2 Jie_Deng.pdf: 2108964 bytes, checksum: 5ddbb5ce2abf4c69e7d30dccd46340df (MD5) license.txt: 4058 bytes, checksum: 8c75d7114462489ef5d76bb57001044a (MD5)"]},{"key":"dc:title","label":"Title","values":["Modeling microwave heating of apple cylinders using hybrid mixture theory based transport equations coupled with Maxwell's laws of electromagnetism"]}]}],"canonical_facts":{"dc:contributor":["Takhar, Pawan"],"dc:creator":["Deng, Jie"],"dc:date":["2014-09-16T17:25:01Z","2014-08","2014-09-16"],"dc:description":["To develop an efficient microwave drying scheme for apple cylinders, a multiscale mathematical model was developed to predict the moisture and temperature profiles. Two-scale hybrid mixture theory (HMT) based transport equations were utilized to describe the fluid (water & gas phases) transport during the microwave drying of apple cylinders. Maxwell’s electromagnetic equations were coupled with HMT based transport equations to obtain heating source for evaporative moisture loss in the food matrix. A commercial finite element package (COMSOL Multiphysics ver 4.4) was employed to solve these equations in order to obtain the spatial and temporal profiles for moisture and temperature within the sample. The validation experiments were conducted with a domestic microwave oven. The comparison of the moisture profiles obtained through simulations and experiments resulted in an average absolute difference value of 37.9%. For comparison of experimental and predicted temperature values a parametric sweep was performed. The developed model could be employed efficiently for the prediction of the moisture distribution. The temperature change trend could also be predicted using the developed model.","Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-07-24T13:13:51Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Deng_Jie.docx: 19484990 bytes, checksum: 6370d278c469aaaf057d63636d78c482 (MD5) Deng_Jie.pdf: 2121444 bytes, checksum: afce1899aceb3d77186772f03b0cff33 (MD5)","Made available in DSpace on 2014-09-16T17:25:01Z (GMT). No. of bitstreams: 2 Jie_Deng.pdf: 2108964 bytes, checksum: 5ddbb5ce2abf4c69e7d30dccd46340df (MD5) license.txt: 4058 bytes, checksum: 8c75d7114462489ef5d76bb57001044a (MD5)"],"dc:identifier":["http://hdl.handle.net/2142/50663"],"dc:language":["en"],"dc:rights":["Copyright 2014 Jie Deng"],"dc:subject":["Microwave Drying","Hybrid Mixture Theory","Apple Cylinders"],"dc:title":["Modeling microwave heating of apple cylinders using hybrid mixture theory based transport equations coupled with Maxwell's laws of electromagnetism"],"dc:type":["text"],"thesis:degree_discipline":["Food Science & Human Nutrition"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:40Z"}