The rheological kolmogorov scales of viscoelastic Oldroyd-B fluids

IF 2.7 2区 工程技术 Q2 MECHANICS
H.R. Anbarlooei , F. Ramos , G.E.O. Celis , C. Mageski , D.O.A. Cruz
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Abstract

This article introduces a method to determine the Kolmogorov rheological scales for turbulent flow in Viscoelastic Oldroyd-B fluids. The findings reveal a noteworthy characteristic wherein the Kolmogorov rheological length is consistently smaller than that observed in Newtonian cases. Moreover, this length diminishes with an increase in the prominence of elastic effects. Leveraging these rheological scales, a detailed friction equation for turbulent flow in Oldroyd-B fluids is derived. The resultant friction relationship exhibits a high degree of agreement with existing theories. Notably, it delineates the Maximum Drag Reduction (MDR) scenario for the studied case (β=0.9). Additionally, the investigation delves into the onset of drag reduction effects, shedding light on the transitional phases in viscoelastic fluid flows.

粘弹性奥尔德罗伊德-B 流体的流变科尔莫戈罗夫尺度
本文介绍了一种确定粘弹性奥尔德罗伊德-B 流体湍流的柯尔莫哥洛夫流变尺度的方法。研究结果揭示了一个值得注意的特点,即 Kolmogorov 流变长度始终小于在牛顿情况下观察到的长度。此外,随着弹性效应的增强,这一长度也会减小。利用这些流变尺度,推导出了奥尔德罗伊德-B 流体湍流的详细摩擦方程。由此得出的摩擦关系与现有理论高度一致。值得注意的是,它为所研究的情况(β=0.9)划定了最大阻力减小(MDR)方案。此外,研究还深入探讨了阻力减小效应的开始,揭示了粘弹性流体流动中的过渡阶段。
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来源期刊
CiteScore
5.00
自引率
19.40%
发文量
109
审稿时长
61 days
期刊介绍: The Journal of Non-Newtonian Fluid Mechanics publishes research on flowing soft matter systems. Submissions in all areas of flowing complex fluids are welcomed, including polymer melts and solutions, suspensions, colloids, surfactant solutions, biological fluids, gels, liquid crystals and granular materials. Flow problems relevant to microfluidics, lab-on-a-chip, nanofluidics, biological flows, geophysical flows, industrial processes and other applications are of interest. Subjects considered suitable for the journal include the following (not necessarily in order of importance): Theoretical, computational and experimental studies of naturally or technologically relevant flow problems where the non-Newtonian nature of the fluid is important in determining the character of the flow. We seek in particular studies that lend mechanistic insight into flow behavior in complex fluids or highlight flow phenomena unique to complex fluids. Examples include Instabilities, unsteady and turbulent or chaotic flow characteristics in non-Newtonian fluids, Multiphase flows involving complex fluids, Problems involving transport phenomena such as heat and mass transfer and mixing, to the extent that the non-Newtonian flow behavior is central to the transport phenomena, Novel flow situations that suggest the need for further theoretical study, Practical situations of flow that are in need of systematic theoretical and experimental research. Such issues and developments commonly arise, for example, in the polymer processing, petroleum, pharmaceutical, biomedical and consumer product industries.
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