{"title":"稳态三维磁流体力学Casson流体在多孔薄板上线性拉伸时的运动热辐射和普朗特数:有限元方法","authors":"K. G. R. Deepthi, S. Kavitha, V. V. Murthy","doi":"10.1166/jon.2023.2031","DOIUrl":null,"url":null,"abstract":"In this research paper, the study focuses on results of heat radiation on Casson fluid flowing in three dimensions toward a linearly stretched sheet packed with porous media when a magnetic field is present, as well as when Prandtl number effects when there is a porous medium involved.\n The Roseland approximation, which integrates a heat radiation’s impact into the energy equation, is used to incorporate thermal radiation into this research endeavour. To be used in this fluid flow the basic governing partial equations for this fluid flow were changed from linear ordinary\n differential equations by converting non-linear partial equations with similarity variables are utilised. The numerical solutions to the resultant linear ordinary duality equations are obtained by the use of the finite element approach. Graphical representations of the effectiveness and accuracy\n of this finite element approach are provided for a variety of characteristics as the permeability (K), Casson fluid (β), and magnetic field (M) parameters Stretching sheet parameter (C), Prandtl number (Pr) and Thermal radiation component (R). and conditions.\n A comparison of our numerical findings with previously published data (S. Nadeem, R. U. Haq, N. S. Akbar, and Z. H. Khan, Alexandria Eng. J. 52, 577 (2013)) reveals a a high level of consistency among the two sets of data.","PeriodicalId":47161,"journal":{"name":"Journal of Nanofluids","volume":null,"pages":null},"PeriodicalIF":2.7000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Steady 3-D Magneto Hydrodynamics-Casson Moving Fluid Across a Porous Sheet as it is Being Linearly Stretched Out Thermal Radiation and Prandtl Number: FEM Approach\",\"authors\":\"K. G. R. Deepthi, S. Kavitha, V. V. Murthy\",\"doi\":\"10.1166/jon.2023.2031\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this research paper, the study focuses on results of heat radiation on Casson fluid flowing in three dimensions toward a linearly stretched sheet packed with porous media when a magnetic field is present, as well as when Prandtl number effects when there is a porous medium involved.\\n The Roseland approximation, which integrates a heat radiation’s impact into the energy equation, is used to incorporate thermal radiation into this research endeavour. To be used in this fluid flow the basic governing partial equations for this fluid flow were changed from linear ordinary\\n differential equations by converting non-linear partial equations with similarity variables are utilised. The numerical solutions to the resultant linear ordinary duality equations are obtained by the use of the finite element approach. Graphical representations of the effectiveness and accuracy\\n of this finite element approach are provided for a variety of characteristics as the permeability (K), Casson fluid (β), and magnetic field (M) parameters Stretching sheet parameter (C), Prandtl number (Pr) and Thermal radiation component (R). and conditions.\\n A comparison of our numerical findings with previously published data (S. Nadeem, R. U. Haq, N. S. Akbar, and Z. H. Khan, Alexandria Eng. J. 52, 577 (2013)) reveals a a high level of consistency among the two sets of data.\",\"PeriodicalId\":47161,\"journal\":{\"name\":\"Journal of Nanofluids\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nanofluids\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1166/jon.2023.2031\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"NANOSCIENCE & NANOTECHNOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nanofluids","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1166/jon.2023.2031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"NANOSCIENCE & NANOTECHNOLOGY","Score":null,"Total":0}
引用次数: 0
摘要
本文主要研究了在有磁场的情况下,卡森流体在三维方向上向多孔介质线性拉伸薄片流动的热辐射结果,以及多孔介质存在时普朗特数效应的结果。将热辐射的影响纳入能量方程的罗斯兰近似,被用于将热辐射纳入这项研究工作。为了应用于该流体流动,将该流体流动的基本控制偏方程由线性常微分方程转化为具有相似变量的非线性偏方程。利用有限元方法得到了所得线性普通对偶方程的数值解。给出了该有限元方法的有效性和准确性的图形表示,包括磁导率(K)、卡森流体(β)和磁场(M)参数、拉伸片参数(C)、普朗特数(Pr)和热辐射分量(R)等多种特性和条件。我们的数值结果与先前发表的数据(S. Nadeem, R. U. Haq, N. S. Akbar, and Z. H. Khan, Alexandria Eng)的比较。J. 52,577(2013))揭示了两组数据之间的高度一致性。
Steady 3-D Magneto Hydrodynamics-Casson Moving Fluid Across a Porous Sheet as it is Being Linearly Stretched Out Thermal Radiation and Prandtl Number: FEM Approach
In this research paper, the study focuses on results of heat radiation on Casson fluid flowing in three dimensions toward a linearly stretched sheet packed with porous media when a magnetic field is present, as well as when Prandtl number effects when there is a porous medium involved.
The Roseland approximation, which integrates a heat radiation’s impact into the energy equation, is used to incorporate thermal radiation into this research endeavour. To be used in this fluid flow the basic governing partial equations for this fluid flow were changed from linear ordinary
differential equations by converting non-linear partial equations with similarity variables are utilised. The numerical solutions to the resultant linear ordinary duality equations are obtained by the use of the finite element approach. Graphical representations of the effectiveness and accuracy
of this finite element approach are provided for a variety of characteristics as the permeability (K), Casson fluid (β), and magnetic field (M) parameters Stretching sheet parameter (C), Prandtl number (Pr) and Thermal radiation component (R). and conditions.
A comparison of our numerical findings with previously published data (S. Nadeem, R. U. Haq, N. S. Akbar, and Z. H. Khan, Alexandria Eng. J. 52, 577 (2013)) reveals a a high level of consistency among the two sets of data.
期刊介绍:
Journal of Nanofluids (JON) is an international multidisciplinary peer-reviewed journal covering a wide range of research topics in the field of nanofluids and fluid science. It is an ideal and unique reference source for scientists and engineers working in this important and emerging research field of science, engineering and technology. The journal publishes full research papers, review articles with author''s photo and short biography, and communications of important new findings encompassing the fundamental and applied research in all aspects of science and engineering of nanofluids and fluid science related developing technologies.