双曲线通道中带有滑移的粘弹性流动

IF 3 2区 工程技术 Q2 MECHANICS
Kostas D. Housiadas, A. Beris
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引用次数: 0

摘要

我们从理论上研究了考虑到沿壁滑移的约束对称双曲通道中的稳定粘弹性流动。在润滑近似和多种构成模型下,我们计算了与德博拉数有关的高阶扰动解。所有场变量(速度、压力和外应力)的解都是通过分析求得的,最高可达八阶,并与适当的加速技术一起用于实现德博拉数一阶的收敛。我们发现,即使存在滑移,压降也会随着流体弹性的增加而单调减小。我们利用流动系统的总力平衡和机械能平衡对压力降进行了两种不同的分解,从而评估了滑移的影响。与无滑移牛顿流体相反,我们的分析还表明,流体沿壁滑移会导致中平面的应变率随与入口的距离而变化。不过,这些变化很小,而且有效应变率可以用以前开发的公式很好地表示出来[Housiadas, K. D., and A. N. Beris, Phys. Fluids 36(2), 021702 (2024)]。我们还表明,当在特劳顿比的一般公式中使用中面速度解法而不是牛顿润滑解法时,不会出现明显变化,从而证实了我们之前报告结果的有效性和准确性[Housiadas, K. D., and A. N. Beris, J. Rheol. 68(3), 327-339 (2024)]。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Viscoelastic flow with slip in a hyperbolic channel
We study theoretically the steady viscoelastic flow in confined and symmetric hyperbolic channels considering slip along the walls. Under the lubrication approximation and a variety of constitutive models, a high-order perturbation solution with respect to the Deborah number is calculated. The solution for all the field variables (velocity, pressure, and extra-stress) is found analytically up to eighth order and is used along with proper acceleration techniques to achieve convergence up to order one Deborah number. We reveal that even in the presence of slip, the pressure drop decreases monotonically with increasing the fluid elasticity. We evaluate the influence of slip in terms arising from two different decompositions of the pressure drop obtained with the aid of the total force balance and the mechanical energy balance of the flow system. In contrast to the nonslip Newtonian flow, our analysis also showed that the fluid slip along the walls introduces variations in the strain rate at the midplane with the distance from the inlet. However, these are small, and an effective strain rate can be well-represented using a previously developed formula [Housiadas, K. D., and A. N. Beris, Phys. Fluids 36(2), 021702 (2024)]. We also show that when the solution for the midplane velocity is used in the general formula for the Trouton ratio, instead of the Newtonian lubrication solution, there are no appreciable changes, thus confirming the validity and accuracy of our previously reported results [Housiadas, K. D., and A. N. Beris, J. Rheol. 68(3), 327–339 (2024)].
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来源期刊
Journal of Rheology
Journal of Rheology 物理-力学
CiteScore
6.60
自引率
12.10%
发文量
100
审稿时长
1 months
期刊介绍: The Journal of Rheology, formerly the Transactions of The Society of Rheology, is published six times per year by The Society of Rheology, a member society of the American Institute of Physics, through AIP Publishing. It provides in-depth interdisciplinary coverage of theoretical and experimental issues drawn from industry and academia. The Journal of Rheology is published for professionals and students in chemistry, physics, engineering, material science, and mathematics.
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