The flow of Newtonian and power law fluids in elastic tubes

Taha Sochi

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The flow of Newtonian and power law fluids in elastic tubes

机译：牛顿和幂律流体在弹性管中的流动

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摘要

We derive analytical expressions for the flow of Newtonian and power law fluids in elastic circularly symmetric tubes based on a lubrication approximation where the flow velocity profile at each cross section is assumed to have its axially dependent characteristic shape for the given rheology and cross sectional size. Two pressure-area constitutive elastic relations for the tube elastic response are used in these derivations. We demonstrate the validity of the derived equations by observing qualitatively correct trends in general and quantitatively valid asymptotic convergence to limiting cases. The Newtonian formulae are compared to similar formulae derived previously from a one-dimensional version of the Navier-Stokes equations.

机译：基于润滑近似，我们得出了弹性圆形对称管中牛顿流体和幂律流体的流动的解析表达式，其中在给定的流变性和横截面尺寸的情况下，假定每个横截面的流速分布具有其轴向相关的特征形状。在这些推导中使用了两个用于管弹性响应的压力区域本构弹性关系。我们通过观察一般和定量有效渐近收敛到极限情况的定性正确趋势，证明了导出方程的有效性。将牛顿公式与先前从Navier-Stokes方程的一维版本中导出的相似公式进行比较。

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来源
《International journal of non-linear mechanics》 |2014年第12期|245-250|共6页
作者
Taha Sochi;
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作者单位

University College London, Department of Physics & Astronomy, Gower Street, London WC1E 6BT, United Kingdom;

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原文格式 PDF
正文语种 eng
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关键词
Fluid dynamics; Elastic tube; Newtonian fluid; Power law fluid; 1D Navier-Stokes; Lubrication approximation;

机译：流体动力学;弹性管;牛顿流体幂律流体;1D Navier-Stokes;润滑近似;

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1. Flows of Newtonian and Power-Law Fluids in Symmetrically Corrugated Cappilary Fissures and Tubes [J] . A.Walicka International Journal of Applied Mechanics and Engineering . 2018,第1期

机译：对称瓦楞纸裂缝和管中牛顿和幂律液的流动
2. Wall shear stress in distensible, porous, elastic and anisotropic tubes, for two-phase pulsatile flows of non-Newtonian fluids [J] . M. Taibi, M. Kerroum, K. Gueraoui, Mecanique industrielle et materiaux . 2002,第3期

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3. Modeling of Newtonian droplet formation in power-law non-Newtonian fluids in a flow-focusing device [J] . Qi Chen, Jingkun Li, Yu Song, Heat and mass transfer . 2020,第9期

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4. The Study of Flow Characteristics of Newtonian and Power-Law Non-Newtonian Fluids by Dam-Break Flow Model [C] . Puay How Tion, Abdullah Faiz, Zakaria Nor Azazi, eco-AWAM International Conference on Civil Engineering . 2015

机译：垃圾突破流动模型研究牛顿和幂律非牛顿流体流动特性研究
5. A computational study of enhanced heat transfer in laminar flows of Newtonian and non-Newtonian (power-law and Herschel-Bulkley) fluids in corrugated-plate channels. [D] . Metwally, Hossam Eldin Mahmoud Hassan. 2002

机译：波纹板通道中牛顿和非牛顿（幂律和Herschel-Bulkley）流体层流中增强传热的计算研究。
6. The Effect of Surface Tension on the Gravity-driven Thin Film Flow of Newtonian and Power-law Fluids [O] . Bin Hu, Sarah L. Kieweg -1

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7. The Flow of Newtonian and power law fluids in elastic tubes [O] . Taha Sochi 2016

机译：牛顿和幂律流体在弹性管中的流动
8. Transient Flow of Non-Newtonian Power-Law Fluids in Porous Media. [R] . ikoku, c. u. ramey, h. j. jr 1979

机译：多孔介质中非牛顿幂律流体的瞬态流动。

The flow of Newtonian and power law fluids in elastic tubes

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