期刊
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
卷 193, 期 1, 页码 71-79出版社
SPRINGER HEIDELBERG
DOI: 10.1140/epjst/e2011-01382-6
关键词
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资金
- Natural Science Foundation of Shandong Province [ZR2009AQ014]
- Natural Science Foundation of China [10926097, 11072134]
- Independent Innovation Foundation of Shandong University [2010ZRJQ002]
The aim of this paper is to establish the analytical solutions corresponding to two types of unsteady flows of fractional Maxwell fluid in a duct of rectangular cross-section. The fractional calculus approach is used in solving the problems. With the help of the methods of separation of variables and Laplace transforms, the expressions for the velocity field and the volume flux are presented under series forms in terms of the generalized G functions. Similar solutions for Newtonian and ordinary Maxwell fluids, performing the same motions, are also obtained as the limiting cases of our solutions. Furthermore, the influence of pertinent parameters on the flows is delineated and appropriate conclusions are drawn.
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