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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  0, Vol. 7 Issue (101): 263-270    DOI: 10.1631/jzus.2006.AS0263
Energy & Mechanical Engineering     
Galerkin method study on flow of Oldroyd-B fluids in curved circular cross-section pipes
Zhang Ming-Kan, Shen Xin-Rong, Ma Jian-Feng, Zhang Ben-Zhao
Institute of Fluid Engineering, Zhejiang University, Hangzhou 310027, China
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Abstract  A Galerkin method was used to investigate steady, fully developed flow of Oldroyd-B fluids through curved pipes of circle cross-section. By using Galerkin method, large values of curvature ratio, Reynolds number and Weissenberg number can be discussed. The powers of the series of the Galerkin method in the present work are chosen carefully. Both effects of Reynolds number and Weissenberg number on axial velocity and stream function are discussed even for large values of the two non-dimensional parameters. It was discovered that the combined effect of large Reynolds number and Weissenberg number decreases the outward shifts of maximum axial velocity and maximum stream function. Axial normal stress of creeping flow is also studied here. The large Weissenberg number makes the stress concentration occur on the inner bend of the pipe.

Key words： Curved pipe      Galerkin method      Oldroyd-B fluid      Flow characteristic      Axial normal stress     
Received: 10 December 2005     
CLC:  O373  
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Zhang Ming-Kan
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Zhang Ming-Kan, Shen Xin-Rong, Ma Jian-Feng, Zhang Ben-Zhao. Galerkin method study on flow of Oldroyd-B fluids in curved circular cross-section pipes. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 0, 7(101): 263-270.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.AS0263     OR     http://www.zjujournals.com/xueshu/zjus-a/Y0/V7/I101/263

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