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Viscous dissipation effects on the asymptotic behaviour of laminar forced convection for Bingham plastics in circular ducts

机译:粘性耗散对Bingham塑料在圆形管道中层流强迫对流渐近行为的影响

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摘要

The present study concentrates on the effects of viscous dissipation and the yield shear stress on the asymptotic behaviour of the laminar forced convection in a circular duct for a Bingham fluid. It is supposed that the physical properties are constant and the axial conduction is negligible. The asymptotic temperature profile and the asymptotic Nusselt number are determined for various axial distributions of wall heat flux which yield a thermally developed region. It is shown that if the asymptotic value of wall heat flux distribution is vanishes, the asymptotic value of the Nusselt number is zero. The case of the asymptotic wall heat flux distribution non-vanishing giving a value of the Nusselt number dependent on the Brinkman number and on the dimensionless radius of the plug flow region was also analysed. For an infinite asymptotic value of wall heat flux distributions, the asymptotic value of the Nusselt number depends on the dimensionless radius of the plug flow region and on the dimensionless parameter which depends on the asymptotic behaviour of the wall heat flux. The condition of uniform wall temperature and convection with an external isothermal fluid were also considered. The comparison with other existing solutions in the literature in the Newtonian case is analysed.
机译:本研究集中于粘性耗散和屈服剪切应力对宾厄姆流体在圆形管道中层流强迫对流的渐近行为的影响。假定物理性质是恒定的,轴向传导可以忽略不计。确定壁热通量的各种轴向分布的渐近温度曲线和渐近Nusselt数,从而产生一个热显影区域。结果表明,如果壁热通量分布的渐近值消失,则努塞尔特数的渐近值为零。还分析了渐近壁热通量分布不消失的情况,给出了取决于Brinkman数和塞流区域无量纲半径的Nusselt值的值。对于壁热通量分布的无限渐近值,Nusselt数的渐近值取决于塞流区域的无量纲半径,并取决于取决于壁热通量的渐近特性的无量纲参数。还考虑了均匀壁温和与外部等温流体对流的条件。分析了与牛顿案例中文献中其他现有解决方案的比较。

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