{"title":"A note on longitudinal and torsional oscillations of a rod in a generalized non-Newtonian fluid","authors":"L. Fusi , A. Farina , K.R. Rajagopal","doi":"10.1016/j.ijnonlinmec.2024.104836","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"166 ","pages":"Article 104836"},"PeriodicalIF":2.8000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Non-Linear Mechanics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020746224002014","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
