关于广义非牛顿流体中棒的纵向和扭转振荡的说明

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2024-07-25 DOI:10.1016/j.ijnonlinmec.2024.104836

L. Fusi , A. Farina , K.R. Rajagopal

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引用次数: 0

摘要

杆在流体中的旋转和扭转振荡与多种应用有关。斯托克斯认为，纳维-斯托克斯流体中的旋转振荡可以得到精确解。卡萨雷拉和劳拉对这一开创性工作进行了扩展，找到了纳维-斯托克斯流体中旋转振荡和扭转振荡的精确解。后来的作者又将这项工作推广到几种非牛顿流体的情况中。在本研究中，我们分析了与两类非牛顿流体相对应的解，一类是 Carreau 和 Yasuda 提出的构成关系，另一类是 Garimella 等人提出的相对较新的构成关系，它模仿了许多材料表现出的粘塑性流动。

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A note on longitudinal and torsional oscillations of a rod in a generalized non-Newtonian fluid

The rotational and torsional oscillations of a rod in a fluid has relevance to several applications. Stokes recognized that the rotational oscillations in a Navier–Stokes fluid allows one to obtain an exact solution. This seminal work has been extended by Casarella and Laura to find an exact solution to both the rotational and torsional oscillations in a Navier–Stokes fluid. This work has been generalized to the case of several non-Newtonian fluids by subsequent authors. In this study we analyze the solution that corresponds to two classes of non-Newtonian fluids, the constitutive relation put forth by Carreau and Yasuda, and a relatively new constitutive relation due to Garimella et al. that mimics viscoplastic flow exhibited by many materials.

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.