{"title":"FRACTIONAL ORDER THERMOELASTIC PROBLEM FOR A THIN CIRCULAR PLATE WITH UNIFORM INTERNAL HEAT GENERATION","authors":"Narsing B. Jadhav","doi":"10.17654/0973576323045","DOIUrl":null,"url":null,"abstract":"We investigate the thermoelastic stress generation and temperature distribution in a thin circular plate using the integral transform method. The initial temperature distribution in the plate follows a parabolic profile along the $z$-axis, with insulation at $z=0$ and $z=h$. The surface $r=a$ of the circular plate is subjected to thermal heat transfer at different temperatures, followed by convection with a fluid at temperature $T_{\\infty}$ and a convection coefficient $h_c$. The analytical solution for thermal stress, displacement, and temperature is derived using the integral transform method and implemented using PTC Mathcad software. Received: June 16, 2023Revised: August 8, 2023 Accepted: August 14, 2023","PeriodicalId":39006,"journal":{"name":"JP Journal of Heat and Mass Transfer","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JP Journal of Heat and Mass Transfer","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17654/0973576323045","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the thermoelastic stress generation and temperature distribution in a thin circular plate using the integral transform method. The initial temperature distribution in the plate follows a parabolic profile along the $z$-axis, with insulation at $z=0$ and $z=h$. The surface $r=a$ of the circular plate is subjected to thermal heat transfer at different temperatures, followed by convection with a fluid at temperature $T_{\infty}$ and a convection coefficient $h_c$. The analytical solution for thermal stress, displacement, and temperature is derived using the integral transform method and implemented using PTC Mathcad software. Received: June 16, 2023Revised: August 8, 2023 Accepted: August 14, 2023
期刊介绍：
The JP Journal of Heat and Mass Transfer publishes peer-reviewed articles in heat and mass transfer which enriches basic ideas in this field and provides applicable tools to its users. Articles both theoretical and experimental in nature covering different aspects in the area of heat and mass transfer such as heat transfer in phase change phenomena, machinery and welding operations, porous media and turbulence are considered. Priority is given to those which employ or generate fundamental techniques useful to promote applications in different disciplines of engineering, electronics, communication systems, environmental sciences and climatology. Because a combination of two or more different technologies in a single device may result into a significant development, the journal extends its scope to include papers with the utility value in electronics and communication system. In this spirit, we are devoting certain number of issues to ‘Mechanical Systems and ICT – Convergence’. Survey articles dealing with certain issues in the context of current developments in heat and mass transfer together with their applications in interdisciplinary topics are also entertained.
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