Sound propagation through a rarefied gas confined between source and receptor at arbitrary Knudsen number and sound frequency
A sound propagation through a rarefied gas is investigated on the basis of the linearized kinetic equation taking into account the influence of receptor. A plate oscillating in the normal direction to...
A sound propagation through a rarefied gas is investigated on the basis of the linearized kinetic equation taking into account the influence of receptor. A plate oscillating in the normal direction to...
On steady rotational cyclonic flows: The viscous bidirectional vortex
This study is focused on the tangential boundary layers of a bidirectional vortex, specifically those forming at the core and the sidewall of a swirl-driven cyclonic chamber. Our analysis is based on ...
This study is focused on the tangential boundary layers of a bidirectional vortex, specifically those forming at the core and the sidewall of a swirl-driven cyclonic chamber. Our analysis is based on ...
Influence of inlet radius on Stokes flow in a circular tube via the Hamiltonian systematic method
Phys. Fluids 21, 103602 (2009); doi:10.1063/1.3250302
Published 23 October 2009
You are not logged in to this journal. Log in
This paper presents a new semianalytical method, Hamiltonian systematic method, for solving axisymmetric problems of Stokes flow. In the system, nonzero-eigenvalue solutions can describe local effect near the boundary and therefore the influence of inlet radius on the flow can be investigated. A rule of minimal entrance length is discussed on the basis of the criteria which are defined by axial flow deviating from the full developed (Hagen–Poseuille) flow. Numerical results show that the entrance length is related to the inlet radius, and there is one minimal point on the relationship curve, namely, there is one minimal entrance length. Besides, pressures have the characteristic too and the minimal point is same. The method can also be generalized to other fields.
©2009 American Institute of Physics
| History: | Received 11 July 2009; accepted 21 September 2009; published 23 October 2009 |
| Permalink: |
http://link.aip.org/link/?PHFLE6/21/103602/1 |
Connotea
CiteULike
del.icio.us
BibSonomy
REFERENCES (12)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- 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. 33, 1517 (1995) . - R. J. Yang, L. M. Fu, and C. C. Hwang, “Electroosmotic entry flow in a microchannel,”
J. Colloid Interface Sci. 244, 173 (2001) . - 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 6, 700 (1994).
- 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. 127, 1003 (2005) . - 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. 39, 70 (2006) . - 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) . - H. S. Lew and Y. C. Fung, “On the low Reynolds number entry flow in a circular cylindrical tube,”
J. Biomech. 2, 105 (1969) . - Z. Dagan, S. Weinbaum, and R. Pfeffer, “An infinite-series solution for the creeping motion through an orifice of finite length,”
J. Fluid Mech. 115, 505 (1982) . - 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).
- 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).
- W. X. Zhong, Duality System in Applied Mechanics and Optimal Control (Kluwer Academic, New York, 2004).
- H. Q. Zhang, Alatancang, and W. X. Zhong, “The Hamiltonian system and completeness of symplectic orthogonal system,” Math. Mech.-Engl. Ed. 18, 237 (1997).
