Influence of inlet radius on Stokes flow in a circular tube via the Hamiltonian systematic method

Physics of Fluids

Volumn 21, Issue 10, 2009, Pages

  Wang, Ga Ping ^a   Xu, X S ^b   Zhang, Y X ^c  

^a DALIAN JIAOTONG UNIVERSITY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^c KAIFENG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

AXISYMMETRIC PROBLEMS; CIRCULAR TUBES; ENTRANCE LENGTH; MINIMAL POINTS; NON-ZERO EIGENVALUE SOLUTIONS; NUMERICAL RESULTS; SEMI-ANALYTICAL METHODS; SYSTEMATIC METHOD;

HAMILTONIANS;

EID: 71049152825     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3250302     Document Type: Article

References (12)

1. C. Nouar, M. Ouldrouis, A. Salem, and J. Legrand, "Developing laminar flow in the entrance region of annuli-review and extension of standard resolution methods for the hydrodynamic problem," Int. J. Eng. Sci. IJESAN0020-7225 33, 1517 (1995). 10.1016/0020-7225(95)00016-Q
2. R. J. Yang, L. M. Fu, and C. C. Hwang, "Electroosmotic entry flow in a microchannel," J. Colloid Interface Sci. JCISA50021-9797 244, 173 (2001). 10.1006/jcis.2001.7847
3. C. D. Eggleton, J. H. Ferziger, and T. H. Pulliam, "Moderate Reynolds number entry flow and boundary-layer approximations for a viscoelastic fluid," Phys. Fluids PHFLE61070-6631 6, 700 (1994). 10.1063/1.868309
4. B. R. Thompson, D. Maynes, and B. W. Webb, "Characterization of the hydrodynamically developing flow in a microtube using MTV," ASME Trans. J. Fluids Eng. JFEGA40098-2202 127, 1003 (2005). 10.1115/1.1989368
5. J. Lubbers, M. P. de Vries, A. E. P. Veldman, and G. J. Verkerke, "Influence of a downstream narrowing on the flow profile in a tube," J. Biomech. JBMCB50021-9290 39, 70 (2006). 10.1016/ j.jbiomech.2004.11.011
6. J. Judy, D. Maynes, and B. W. Webb, "Characterization of frictional pressure drop for liquid flows through microchannels," Int. J. Heat Mass Transf. 45, 3477 (2002). 10.1016/S0017-9310(02)00076-5
7. H. S. Lew and Y. C. Fung, "On the low Reynolds number entry flow in a circular cylindrical tube," J. Biomech. JBMCB50021-9290 2, 105 (1969). 10.1016/0021-9290(69)90046-3
8. Z. Dagan, S. Weinbaum, and R. Pfeffer, "An infinite-series solution for the creeping motion through an orifice of finite length," J. Fluid Mech. JFLSA70022-1120 115, 505 (1982). 10.1017/S0022112082000883
9. W-y. Wu and S. Richard, "The creeping motion in the entry region of a semi-infinite circular cylindrical tube," Math. Mech.-Engl. Ed. 4, 833 (1983).
10. L. N. Wang and M. Z. Wang, "On the Stokes entry flow into a semi-infinite circular cylindrical tube," Math. Mech.-Engl. Ed. 11, 479 (1990).
11. W. X. Zhong, Duality System in Applied Mechanics and Optimal Control (Kluwer Academic, New York, 2004).
12. H. Q. Zhang, Alatancang, and W. X. Zhong, "The Hamiltonian system and completeness of symplectic orthogonal system," Math. Mech.-Engl. Ed. 18, 237 (1997).