{"title":"实施有限元方案，研究圆盘二次热辐射条件下水基纳米流体模型中的热量和质量传输","authors":"Muhammad Sohail, Kamaleldin Abodayeh, Umar Nazir","doi":"10.1007/s11043-024-09736-x","DOIUrl":null,"url":null,"abstract":"<div><p>Due to the unlimited usage and involvement of nanoparticles, researchers got much interest in their study. This research discusses the utilization of a hybrid nanofluid model mixed in water-based liquid in a rotating disk. The flow is considered with the involvement of Hall and ion slip effects in a rotating disk. Thermal transport is discussed by engaging quadratic thermal radiation phenomenon along with Joule heating. The boundary layer equations are generated in the form of coupled PDEs and are converted into a set of ODEs by engaging similarity variables. The derived converted ODEs are highly nonlinear and have been solved numerically via the finite element method. The involvement of numerous emerging parameters against velocity, temperature and concentration is plotted and tabulated and their insight physics is discussed in detail. The obtained results confirm the reliability of finite element scheme.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"1049 - 1072"},"PeriodicalIF":2.1000,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Implementation of finite element scheme to study thermal and mass transportation in water-based nanofluid model under quadratic thermal radiation in a disk\",\"authors\":\"Muhammad Sohail, Kamaleldin Abodayeh, Umar Nazir\",\"doi\":\"10.1007/s11043-024-09736-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Due to the unlimited usage and involvement of nanoparticles, researchers got much interest in their study. This research discusses the utilization of a hybrid nanofluid model mixed in water-based liquid in a rotating disk. The flow is considered with the involvement of Hall and ion slip effects in a rotating disk. Thermal transport is discussed by engaging quadratic thermal radiation phenomenon along with Joule heating. The boundary layer equations are generated in the form of coupled PDEs and are converted into a set of ODEs by engaging similarity variables. The derived converted ODEs are highly nonlinear and have been solved numerically via the finite element method. The involvement of numerous emerging parameters against velocity, temperature and concentration is plotted and tabulated and their insight physics is discussed in detail. The obtained results confirm the reliability of finite element scheme.</p></div>\",\"PeriodicalId\":698,\"journal\":{\"name\":\"Mechanics of Time-Dependent Materials\",\"volume\":\"28 3\",\"pages\":\"1049 - 1072\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-08-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Time-Dependent Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11043-024-09736-x\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, CHARACTERIZATION & TESTING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11043-024-09736-x","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
Implementation of finite element scheme to study thermal and mass transportation in water-based nanofluid model under quadratic thermal radiation in a disk
Due to the unlimited usage and involvement of nanoparticles, researchers got much interest in their study. This research discusses the utilization of a hybrid nanofluid model mixed in water-based liquid in a rotating disk. The flow is considered with the involvement of Hall and ion slip effects in a rotating disk. Thermal transport is discussed by engaging quadratic thermal radiation phenomenon along with Joule heating. The boundary layer equations are generated in the form of coupled PDEs and are converted into a set of ODEs by engaging similarity variables. The derived converted ODEs are highly nonlinear and have been solved numerically via the finite element method. The involvement of numerous emerging parameters against velocity, temperature and concentration is plotted and tabulated and their insight physics is discussed in detail. The obtained results confirm the reliability of finite element scheme.
期刊介绍：
Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties.
The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.
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