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Heat Transfer of Bingham Fluids in an Annular Duct with Viscous Dissipation

机译:宾厄姆流体在环形管道中的热传导,具有粘性耗散性

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摘要

Analytical expressions for the velocity and temperature profiles in a fully-developed laminar Poiseuille flow through a concentric annular duct of a Bingham fluid with constant wall heat flux at the inner and outer wall, in the presence of viscous dissipation are deduced and presented. It is found that the proportion of the heat generated by viscous dissipation near the outer wall increases with an increase of the dimensionless flow parameter, and a decrease of the duct radius ratio. The Nusselt numbers are first calculated based on a single bulk temperature for the entire duct cross section. The possibility of performing calculations of the relevant parameters discussed in this work is available via the Supplementary Material as an Excel file. Also in this work a new approach is employed, where two different bulk temperatures are used, one for each side of the radial location in the temperature profile whose derivative is zero. With this new approach the Nusselt number behavior is free of either unphysical discontinuities or negative values. As a consequence, the Nusselt number values better reflect the actual heat transfer coefficient at the walls and are more comparable with the heat transfer inside ducts when the temperature profile is symmetric.
机译:推导并给出了在充分发展的层流Poiseuille流经宾汉流体的同心环形导管的情况下,在内外壁均具有恒定壁热通量的情况下,速度和温度分布的解析表达式,并给出了粘性耗散的情况。发现随着无因次流动参数的增加和管道半径比的减小,外壁附近的粘性耗散产生的热量的比例增加。首先基于整个管道横截面的整体温度计算Nusselt数。可以通过“补充材料”中的Excel文件获得对本工作中讨论的相关参数进行计算的可能性。同样在这项工作中,采用了一种新方法,其中使用了两种不同的体温,温度曲线中径向位置的每一侧一个,其导数为零。使用这种新方法,Nusselt数行为不会出现非自然的不连续性或负值。结果,当温度分布对称时,努塞尔数值更好地反映了壁上的实际传热系数,并且与导管内部的传热更具有可比性。

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  • 来源
    《Heat Transfer Engineering》 |2018年第20期|1749-1765|共17页
  • 作者

  • 作者单位

    Univ Porto Fac Engn Dept Engn Mecan Rua Dr Roberto Frias P-4200465 Porto Portugal;

    Univ Liverpool Sch Engn Brownlow Hill Liverpool Merseyside England;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
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