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首页> 外文期刊>International Journal of Heat and Fluid Flow >Forced convection heat transfer of Giesekus fluid with wall slip above the critical shear stress in pipes
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Forced convection heat transfer of Giesekus fluid with wall slip above the critical shear stress in pipes

机译：Giesekus流体的强制对流换热与壁滑移高于管道中的临界剪切应力

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摘要

Forced convective heat transfer in pipes is investigated for viscoelastic fluids obeying the Giesekus constitutive equation including effect of slip condition by an approximated analytical method. The slip equation at wall is considered as a nonlinear Navier model with non-zero slip critical shear stress. The problem under consideration is steady, laminar and fully developed. Thermal boundary conditions are assumed peripherally and axially constant heat flux at wall. The fluid heating and cooling cases are considered for analysis. Dimensionless temperature profiles and Nusselt number are obtained by solving governing equations and the effects of slip parameters, viscous dissipation and fluid elasticity are discussed. Results show that Nusselt number increases by increasing slip effect but decreases by increasing Brinkman number for the case of fluid heating. However, for the cooling case, the heat generated by viscous dissipation can overcome the effect of wall cooling at first critical Brinkman number and fluid starts to warm up. Also the Nusselt curve shows a singularity in a second critical Brinkman number.
机译：通过近似分析方法，研究了包括滑移条件影响的吉塞库斯本构方程在内的粘弹性流体在管道中的强制对流换热。壁面的滑动方程被认为是具有非零滑动临界剪切应力的非线性Navier模型。正在考虑的问题是稳定的，层状的并且已经充分发展。假定壁的周向和轴向热通量为热边界条件。考虑对流体加热和冷却情况进行分析。通过求解控制方程获得无因次温度分布图和努塞尔数，并讨论了滑移参数，粘滞耗散和流体弹性的影响。结果表明，在流体加热的情况下，努塞尔特数通过增加滑移效应而增加，但通过增加布林克曼数而减小。但是，对于冷却情况，由粘性耗散产生的热量可以克服壁冷却在第一临界Brinkman数下的影响，并且流体开始变热。同样，Nusselt曲线在第二个临界Brinkman数中显示出奇点。

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