Formulation of approximate analytical solutions for a heat transfer model for an ice layer during microwave heating
The research considers the microwave treatment of snow-and-ice mass comprising the stages of heating and melting. A nonlinear mathematical model for two-phase Stephan problem was developed for the case of sandwich dielectrics system. We offer approximate analytical solutions that take into account t...
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Veröffentlicht in: | Thermophysics and aeromechanics 2023-09, Vol.30 (6), p.1123-1130 |
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creator | Karelin, V. A. Salomatov, V. V. |
description | The research considers the microwave treatment of snow-and-ice mass comprising the stages of heating and melting. A nonlinear mathematical model for two-phase Stephan problem was developed for the case of sandwich dielectrics system. We offer approximate analytical solutions that take into account the thermophysical and electrophysical properties of dielectric layers; this approach allows parametric analysis. |
doi_str_mv | 10.1134/S0869864323060148 |
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A. ; Salomatov, V. V.</creator><creatorcontrib>Karelin, V. A. ; Salomatov, V. V.</creatorcontrib><description>The research considers the microwave treatment of snow-and-ice mass comprising the stages of heating and melting. A nonlinear mathematical model for two-phase Stephan problem was developed for the case of sandwich dielectrics system. We offer approximate analytical solutions that take into account the thermophysical and electrophysical properties of dielectric layers; this approach allows parametric analysis.</description><identifier>ISSN: 1531-8699</identifier><identifier>ISSN: 0869-8643</identifier><identifier>EISSN: 1531-8699</identifier><identifier>DOI: 10.1134/S0869864323060148</identifier><language>eng</language><publisher>Novosibirsk: Kutateladze Institute of Thermophysics SB RAS</publisher><subject>Exact solutions ; Heating ; Mathematical models ; Parametric analysis ; Physics ; Physics and Astronomy ; Thermodynamics ; Thermophysical properties</subject><ispartof>Thermophysics and aeromechanics, 2023-09, Vol.30 (6), p.1123-1130</ispartof><rights>V.A. Karelin and V.V. Salomatov 2023</rights><rights>V.A. Karelin and V.V. 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Aeromech</addtitle><description>The research considers the microwave treatment of snow-and-ice mass comprising the stages of heating and melting. A nonlinear mathematical model for two-phase Stephan problem was developed for the case of sandwich dielectrics system. We offer approximate analytical solutions that take into account the thermophysical and electrophysical properties of dielectric layers; this approach allows parametric analysis.</description><subject>Exact solutions</subject><subject>Heating</subject><subject>Mathematical models</subject><subject>Parametric analysis</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Thermodynamics</subject><subject>Thermophysical properties</subject><issn>1531-8699</issn><issn>0869-8643</issn><issn>1531-8699</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1UMFKxDAQDaLgsu4HeAt4riZp0yZHWVxdWPCgnstsOtEubVOTVt2_N2sFBXEuM7x5b5j3CDnn7JLzNLt6YCrXKs9SkbKc8UwdkRmXKU8irI9_zadkEcKOxUp5FskzElbOt2MDQ-066iyFvvfuo25hQAodNPuhNtDQ4JrxQAnUOk-BviAMdPDQBYuetq7CZtp0tDZIG9hHuBp93T3TtjbevcMbfqkickZOLDQBF999Tp5WN4_Lu2Rzf7teXm8SI3I1JKoAqXJVGdyCZFprwysQwloht0JU27yqLBoldIa5lcAKVBBjyIyEVECG6ZxcTHejpdcRw1Du3OijqVAKXYhCyELJyOITK34Zgkdb9j769_uSs_IQb_kn3qgRkyb0B4vofy7_L_oEdB1-VQ</recordid><startdate>20230901</startdate><enddate>20230901</enddate><creator>Karelin, V. A.</creator><creator>Salomatov, V. V.</creator><general>Kutateladze Institute of Thermophysics SB RAS</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230901</creationdate><title>Formulation of approximate analytical solutions for a heat transfer model for an ice layer during microwave heating</title><author>Karelin, V. A. ; Salomatov, V. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c268t-87a5868dceba50999c1da22ff25b22db6ddfec8294e6f5a07e8a6984c5a32a4e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Exact solutions</topic><topic>Heating</topic><topic>Mathematical models</topic><topic>Parametric analysis</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Thermodynamics</topic><topic>Thermophysical properties</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Karelin, V. A.</creatorcontrib><creatorcontrib>Salomatov, V. V.</creatorcontrib><collection>CrossRef</collection><jtitle>Thermophysics and aeromechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Karelin, V. A.</au><au>Salomatov, V. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Formulation of approximate analytical solutions for a heat transfer model for an ice layer during microwave heating</atitle><jtitle>Thermophysics and aeromechanics</jtitle><stitle>Thermophys. Aeromech</stitle><date>2023-09-01</date><risdate>2023</risdate><volume>30</volume><issue>6</issue><spage>1123</spage><epage>1130</epage><pages>1123-1130</pages><issn>1531-8699</issn><issn>0869-8643</issn><eissn>1531-8699</eissn><abstract>The research considers the microwave treatment of snow-and-ice mass comprising the stages of heating and melting. A nonlinear mathematical model for two-phase Stephan problem was developed for the case of sandwich dielectrics system. We offer approximate analytical solutions that take into account the thermophysical and electrophysical properties of dielectric layers; this approach allows parametric analysis.</abstract><cop>Novosibirsk</cop><pub>Kutateladze Institute of Thermophysics SB RAS</pub><doi>10.1134/S0869864323060148</doi><tpages>8</tpages></addata></record> |
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subjects | Exact solutions Heating Mathematical models Parametric analysis Physics Physics and Astronomy Thermodynamics Thermophysical properties |
title | Formulation of approximate analytical solutions for a heat transfer model for an ice layer during microwave heating |
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