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

Chu Yueh-rei

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Chu Yueh-rei. Narrow Gap Stability Theory of Blood Flow between Two Relatively Rotating Concentric Cones[J]. Applied Mathematics and Mechanics, 1983, 4(3): 401-410.

Citation:

Chu Yueh-rei. Narrow Gap Stability Theory of Blood Flow between Two Relatively Rotating Concentric Cones[J]. Applied Mathematics and Mechanics, 1983, 4(3): 401-410.

Citation:

Chu Yueh-rei. Narrow Gap Stability Theory of Blood Flow between Two Relatively Rotating Concentric Cones[J]. Applied Mathematics and Mechanics, 1983, 4(3): 401-410.

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

Chu Yueh-rei

Department of Engineering Mechanics, Jiao-Tong University, Shanghai

Received Date: 1981-12-11
Publish Date: 1983-06-15

Abstract

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.

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References(4)

References

[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).