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HEAT TRANSFER IN STEADY VISCOELASTIC FLOW IN PIPES OF COMPLEX SHAPES

机译:复杂形状管道中稳态粘弹性流动的传热

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摘要

An analysis of heat transfer in pipe-flow is presented for the cases in which viscoelastic properties of the fluid induce secondary flows in no-circular tubes, thus enhancing the tranversal transport capacity of the flow. It is used the Phan-Thien-Tanner (PTT) viscoelastic model, and the flow is assumed steady and laminar. The velocity field is first determined through a technique previously developed by the authors, and the energy equation is solved afterward for the temperature field for conditions of constant wall temperature and constant longitudinal temperature gradient. Perturbation analysis is applied around the relaxation time as parameter, wherefrom all orders of velocity and temperature are analytically found up to third order. Plots of results for triangular and square tubes are presented, followed by a discussion of the relevant findings related to interactions among the main variables generated by viscoelastic fluid behaviour.
机译:针对流体的粘弹性引起非圆管中的二次流动的情况,对管道中的传热进行了分析,从而增强了流动的横向传输能力。它使用Phan-Thien-Tanner(PTT)粘弹性模型,并且假定流动稳定且呈层流状态。首先通过作者先前开发的技术确定速度场,然后在壁温恒定和纵向温度梯度恒定的条件下,针对温度场求解能量方程。围绕弛豫时间应用摄动分析作为参数,从中分析得出所有速度和温度阶次,直至三次阶。介绍了三角形和方形管的结果图,然后讨论了与粘弹性流体行为产生的主要变量之间的相互作用有关的相关发现。

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