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Indexed by:期刊论文

Date of Publication:2009-10-01

Journal:PHYSICS OF FLUIDS

Included Journals:SCIE、EI、Scopus

Volume:21

Issue:10

ISSN No.:1070-6631

Abstract: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. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3250302]