二锥形分离杯之间血液流动稳定性的窄间隙理论

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Narrow Gap Stability Theory of Blood Flow between Two Relatively Rotating Concentric Cones

摘要: 本文在获得血液分离器锥形分离杯内(其中一杯静止,另一杯以ω等角速旋转)血液流动的边界摄动解的基础上^[1],采用窄间隙稳定性理论,证明了带轴向流的二锥形分离杯(其中一杯静止,另一杯以ω等角速旋转)之间旋转密度分层血液流动的稳定性.

Abstract: The boundary perturbation solutions for blood flow between two relatively rotating concentric cones (one is them is stationary, the other is rotating with constant angle velocity ω) have been obtained^[1]. Then on basis of the solutions obtained, using theory of narrow gap stability, the stability of the density stratified blood flow between relatively rotating concentric cones with an axial flow is demonstrated.

[1]	朱月锐,江可宗,血液分禽器锥形分离杯内血液流动的边界摄动解,中国生物医学工程学报,1, 1期(1982).或第一届全国生物医学工程学会年会论文集.
[2]	Howard, L, N, et al.,On the hydrodynamic and hydromagnetic stability of swirling flow,J, Fluid, Mech,14(1962), 463-467.
[3]	Diprima.R.C.,The stability of viscous fluid between rotating cylinders with an axial flow.J.Fluid Mech.Vol.9,(1960),621-631.
[4]	Lin,C.C.et al.,Mathematics Applied to Deterministic Problems in Natural Sciences.(1974).