{"title":"精细多相滞后理论和微极性热弹性介质中的Thomson效应","authors":"E. M. Abd-Elaziz, M. Othman","doi":"10.24425/ather.2021.138120","DOIUrl":null,"url":null,"abstract":"The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multi-phase-lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The non-dimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, microp-olar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.","PeriodicalId":45257,"journal":{"name":"Archives of Thermodynamics","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids\",\"authors\":\"E. M. Abd-Elaziz, M. Othman\",\"doi\":\"10.24425/ather.2021.138120\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multi-phase-lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The non-dimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, microp-olar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.\",\"PeriodicalId\":45257,\"journal\":{\"name\":\"Archives of Thermodynamics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archives of Thermodynamics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24425/ather.2021.138120\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"THERMODYNAMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Thermodynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24425/ather.2021.138120","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"THERMODYNAMICS","Score":null,"Total":0}
Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids
The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multi-phase-lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The non-dimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, microp-olar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.
期刊介绍:
The aim of the Archives of Thermodynamics is to disseminate knowledge between scientists and engineers interested in thermodynamics and heat transfer and to provide a forum for original research conducted in Central and Eastern Europe, as well as all over the world. The journal encompass all aspect of the field, ranging from classical thermodynamics, through conduction heat transfer to thermodynamic aspects of multiphase flow. Both theoretical and applied contributions are welcome. Only original papers written in English are consider for publication.