分数阶黏弹性流体在弯曲通道中的蠕动运动

Q4 Engineering 工程设计学报 Pub Date : 2013-12-23 DOI:10.1155/2013/582390

V. K. Narla, K. Prasad, J. Ramanamurthy

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引用次数: 23

摘要

得到了分数阶二阶粘弹性流体在弯曲通道中蠕动流动的精确解析解。在长波长和低雷诺数近似的假设下，研究了流体的流动。用图形分析了牛顿流体的圈闭流体的流线。利用分数阶微积分方法得到了问题的解析解。用数值方法讨论了分数参数、材料常数、振幅和曲率参数对单波长压力和摩擦力的影响。

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Peristaltic Motion of Viscoelastic Fluid with Fractional Second Grade Model in Curved Channels

Exact analytic solutions are obtained for the flow of a viscoelastic fluid with fractional second grade model by peristalsis through a curved channel. The flow has been investigated under the assumptions of long wavelength and low Reynolds number approximation. The streamlines for trapped bolus of Newtonian fluid are analyzed graphically. The fractional calculus approach is used to get analytic solutions of the problem. The influence of fractional parameter, material constant, amplitude, and curvature parameter on the pressure and friction force across one wavelength are discussed numerically with the help of graphs.

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来源期刊

工程设计学报 Engineering-Engineering (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

2447

审稿时长

14 weeks

期刊介绍： Chinese Journal of Engineering Design is a reputable journal published by Zhejiang University Press Co., Ltd. It was founded in December, 1994 as the first internationally cooperative journal in the area of engineering design research. Administrated by the Ministry of Education of China, it is sponsored by both Zhejiang University and Chinese Society of Mechanical Engineering. Zhejiang University Press Co., Ltd. is fully responsible for its bimonthly domestic and oversea publication. Its page is in A4 size. This journal is devoted to reporting most up-to-date achievements of engineering design researches and therefore, to promote the communications of academic researches and their applications to industry. Achievments of great creativity and practicablity are extraordinarily desirable. Aiming at supplying designers, developers and researchers of diversified technical artifacts with valuable references, its content covers all aspects of design theory and methodology, as well as its enabling environment, for instance, creative design, concurrent design, conceptual design, intelligent design, web-based design, reverse engineering design, industrial design, design optimization, tribology, design by biological analogy, virtual reality in design, structural analysis and design, design knowledge representation, design knowledge management, design decision-making systems, etc.