具有发热效应的幂律流体辐射流计算分析:伽勒金有限元模拟

Shahid Rafiq , Muhammad Mustahsan , Muhammad Asim , M. Ijaz Khan , Sami Ullah Khan , Furqan Ahmad , M. Waqas , Barno Abdullaeva
{"title":"具有发热效应的幂律流体辐射流计算分析:伽勒金有限元模拟","authors":"Shahid Rafiq ,&nbsp;Muhammad Mustahsan ,&nbsp;Muhammad Asim ,&nbsp;M. Ijaz Khan ,&nbsp;Sami Ullah Khan ,&nbsp;Furqan Ahmad ,&nbsp;M. Waqas ,&nbsp;Barno Abdullaeva","doi":"10.1016/j.padiff.2024.100927","DOIUrl":null,"url":null,"abstract":"<div><div>This research aims to presents the free convective flow power law fluid due to vertical cone. The investigation for observing the heat transfer phenomenon is accounted to heat generation and radiative effects. The assumption of variable viscosity is taken into account. A vertical cone induced the flow. The dimensionless variables are followed to attains the simplified form. The numerical computations are performed with help of famous finite element method (FEM). The FEM algorithm is supported with applications of quadratic Lagrange polynomials. The results are confirmed with peak accuracy. The physical aspect of problem is presented in view of shear thickening, shear thinning and viscous material case. A comparative thermal reflection in absence and presence of heat generation have been endorsed. Moreover, the insight of various parameters on Nusselt number is also presented.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"12 ","pages":"Article 100927"},"PeriodicalIF":0.0000,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computational analysis of radiative flow of power law fluid with heat generation effects: Galerkin finite element simulations\",\"authors\":\"Shahid Rafiq ,&nbsp;Muhammad Mustahsan ,&nbsp;Muhammad Asim ,&nbsp;M. Ijaz Khan ,&nbsp;Sami Ullah Khan ,&nbsp;Furqan Ahmad ,&nbsp;M. Waqas ,&nbsp;Barno Abdullaeva\",\"doi\":\"10.1016/j.padiff.2024.100927\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This research aims to presents the free convective flow power law fluid due to vertical cone. The investigation for observing the heat transfer phenomenon is accounted to heat generation and radiative effects. The assumption of variable viscosity is taken into account. A vertical cone induced the flow. The dimensionless variables are followed to attains the simplified form. The numerical computations are performed with help of famous finite element method (FEM). The FEM algorithm is supported with applications of quadratic Lagrange polynomials. The results are confirmed with peak accuracy. The physical aspect of problem is presented in view of shear thickening, shear thinning and viscous material case. A comparative thermal reflection in absence and presence of heat generation have been endorsed. Moreover, the insight of various parameters on Nusselt number is also presented.</div></div>\",\"PeriodicalId\":34531,\"journal\":{\"name\":\"Partial Differential Equations in Applied Mathematics\",\"volume\":\"12 \",\"pages\":\"Article 100927\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Partial Differential Equations in Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666818124003139\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818124003139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0

摘要

本研究旨在介绍垂直锥体导致的自由对流幂律流体。观察传热现象的研究考虑了热量产生和辐射效应。同时考虑了粘度可变的假设。垂直锥体诱导流动。采用无量纲变量,以达到简化形式。数值计算采用著名的有限元法(FEM)。有限元算法应用了二次拉格朗日多项式。计算结果的精确度达到了顶峰。从剪切增厚、剪切减薄和粘性材料的角度介绍了问题的物理方面。在不产生热量和产生热量的情况下,对热反射进行了比较。此外,还介绍了各种参数对努塞尔特数的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Computational analysis of radiative flow of power law fluid with heat generation effects: Galerkin finite element simulations
This research aims to presents the free convective flow power law fluid due to vertical cone. The investigation for observing the heat transfer phenomenon is accounted to heat generation and radiative effects. The assumption of variable viscosity is taken into account. A vertical cone induced the flow. The dimensionless variables are followed to attains the simplified form. The numerical computations are performed with help of famous finite element method (FEM). The FEM algorithm is supported with applications of quadratic Lagrange polynomials. The results are confirmed with peak accuracy. The physical aspect of problem is presented in view of shear thickening, shear thinning and viscous material case. A comparative thermal reflection in absence and presence of heat generation have been endorsed. Moreover, the insight of various parameters on Nusselt number is also presented.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
6.20
自引率
0.00%
发文量
138
审稿时长
14 weeks
期刊最新文献
Combined buoyancy and Marangoni convective heat transport of CNT-water nanofluid in an open chamber with influence of magnetic field and isothermal solid block Hydromagnetic blood flow through a channel of varying width bounded by porous media of finite thickness Application of the Atangana–Baleanu operator in Caputo sense for numerical solutions of the time-fractional Burgers–Fisher equation using finite difference approaches A rational optimal block hybrid method for enhanced accuracy in solving Lane–Emden equations Multi-parameter-based Box–Behnken design for optimizing energy transfer rate of Darcy–Forchheimer drag and mixed convective nanofluid flow over a permeable vertical surface with activation energy
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1