Abstract
This paper may be the first attempt to solve the flow-field of homogeneous fluid between concentric cones (narrow gap) with equal angular velocities of rotation by using a boundary perturbation method, and the hydrodynamic stability of blood flow in the cone-type blood processor is verified, under conditions of the narrow gap between the cones and small axial Re numbers. This paper also verifies the hydrodynamic stability between concentric cylinders (narrow gap) with equal angular velocities of rotation by using a new mathematical technic.
These theoretical analyses are in agreement with the experimental observations, which have been made by Shanghai Medical Instruments Institute.
Similar content being viewed by others
References
Krueger, E.R., et al, J. Fluid Mech., Vol. 19, (1964), 528–538.
Landau, L. D., et al., Continuum Mechanics, Vol. 1, Chinese version published by People's Educational Press (1958)
Dyke, M. V.,Perturbation Methods in Fluid Mechanics, (1964).
Howard, L. N. et al., J. Fluid Mech., Vol. 14, (1962), 463–476.
Lin, C. C. et al.,Mathematics Applied to Deterministic Problems in the Natural Sciences, (1974).
Diprima, R. C., J. Fluid Mech., Vol. 9, (1960), 621–631.
Chandrasekhar, S.,Hydrodynamic and Hydromagnetic Stability, (1960).
Author information
Authors and Affiliations
Additional information
Communicated by Chien Wei-zang.
Rights and permissions
About this article
Cite this article
Yueh-rui, Z., Xiao-ci, Z. A boundary perturbation solution for the hydrodynamic stability of blood flow in a conetype blood processor. Appl Math Mech 4, 599–610 (1983). https://doi.org/10.1007/BF01874671
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01874671