Note on the theoretical analysis of the energy equation for viscoelastic flows under non-isothermal material properties

IF 2.8 2区工程技术 Q2 MECHANICS

Journal of Non-Newtonian Fluid Mechanics Pub Date : 2025-09-24 DOI:10.1016/j.jnnfm.2025.105497

Carlos Veiga Rodrigues , Francisco Vide , Alexandre M. Afonso , Fernando T. Pinho

引用次数: 0

Abstract

A theoretical analysis of the energy equation for viscoelastic flows is performed, following the work of Peters and Baaijens [Peters GWM, Baaijens FPT, 1997 J. Non-Newt. Fluid Mech., 68:205–224], and aimed at extending it to deal with fluids having temperature-dependent and time-dependent fluid properties, which give rise to new terms in the transport equation that are not present in the original Peters and Baaijens work. Lastly, an application of the extended energy equation is carried out using the PTT network model.

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非等温材料特性下粘弹性流动能量方程的理论分析注记

根据Peters和Baaijens的工作，对粘弹性流动的能量方程进行了理论分析[Peters GWM， Baaijens FPT, 1997 J. Non-Newt.]流体机械。[j]，旨在将其扩展到处理具有温度依赖和时间依赖流体性质的流体，这在彼得斯和Baaijens的原始工作中没有出现的输运方程中产生了新的项。最后，利用PTT网络模型对扩展后的能量方程进行了应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Non-Newtonian Fluid Mechanics 物理-力学

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.