小长径比通道中的粘塑性流动:宾汉模型与正则化模型

IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY International Journal of Engineering Science Pub Date : 2024-04-20 DOI:10.1016/j.ijengsci.2024.104074
A. Farina , L. Fusi , L. Vergori , E.M. Zanetti
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引用次数: 0

摘要

我们研究了在无滑动边界条件下,粘性流体在具有防渗壁的对称通道中的二维流动。为了描述粘弹性流体的机械响应,我们考虑了著名的宾汉模型及其正则化的一般类别。为了使问题易于分析,我们假设通道的长宽比很小,这样就可以使用润滑近似法。这样,我们就可以得到分析解,对正则化解进行渐近分析,并比较宾厄姆模型及其正则化预测的结果。我们发现,在正则化参数趋近于零的极限条件下,只有在平面水道中,正则化水流才会趋近于宾汉模型预测的结果。而在有曲壁的水道中,结果则明显不同。
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Viscoplastic flows in channels with small aspect ratio: Bingham versus regularised models

We investigate the two-dimensional flows of a viscoplastic fluid in symmetric channels with impermeable walls under no-slip boundary conditions. To characterise the mechanical response of the viscoplastic fluid we consider both the celebrated Bingham model and a very general class of its regularisations. In order to make the problem amenable to analysis, we assume that the aspect ratio of the channel is small so that the lubrication approximation can be used. This allows us to obtain analytical solutions, perform an asymptotic analysis of the regularised solutions and compare the results predicted by the Bingham model and its regularisations. We find that in the limit as the regularisation parameter tends to zero, the regularised flow tends to those predicted by the Bingham model only in plane channels. In channels with curved walls, the results are instead markedly different.

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来源期刊
International Journal of Engineering Science
International Journal of Engineering Science 工程技术-工程:综合
CiteScore
11.80
自引率
16.70%
发文量
86
审稿时长
45 days
期刊介绍: The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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