The Stability of Blood Cell Suspensions to Small Disturbances in Circular Couette Flow: Experimental Results for the Taylor Problem

1979 ◽  
Vol 101 (4) ◽  
pp. 289-292 ◽  
Author(s):  
S. Deutsch ◽  
W. M. Phillips

Experimental results for the stability of human blood, red cell suspensions and blood plasma to small disturbances in circular Couette flow are presented. The viscoelastic nature of whole blood and blood cell suspensions is confirmed. Blood plasma is found to be Newtonian. Elasticity is shown to have a sizably stabilizing effect on normal Hematocrit blood behavior. Two mechanisms by which elasticity may arise in blood are identified; namely red cell deformability and red cell aggregation.

Biorheology ◽  
1983 ◽  
Vol 20 (1) ◽  
pp. 29-40 ◽  
Author(s):  
E.A. Schmalzer ◽  
R. Skalak ◽  
S. Usami ◽  
M. Vayo ◽  
S. Chien

2012 ◽  
Vol 183-184 ◽  
pp. 37-51 ◽  
Author(s):  
Brahim Alibenyahia ◽  
Cécile Lemaitre ◽  
Chérif Nouar ◽  
Noureddine Ait-Messaoudene

1977 ◽  
Vol 79 (3) ◽  
pp. 535-552 ◽  
Author(s):  
Peter J. Riley ◽  
Robert L. Laurence

The stability of circular Couette flow when the outer cylinder is at rest and the inner is modulated both with and without a mean shear is examined in the narrow-gap limit. Disturbances are assumed to be axisymmetric. Two criteria are used to determine conditions for stability; the first requires that the motion be strongly stable, the second only that disturbances of arbitrary initial energy decay from cycle to cycle. The behaviour of critical parameters as a function of frequency is similar for the linear and the energy analysis. The range of Reynolds numbers bounded above by certain instability and below by conditional nonlinear stability is enlarged by modulation.


The stability of plane Couette flow with a heated lower plate is considered with respect to a two-dimensional infinitesimal disturbance. The eigenvalues are found with the aid of a digital computer as the latent roots of a matrix. Neutral stability curves for various Prandtl numbers at Reynolds numbers up to 150 are obtained by a second method. It is found that the principle of the exchange of stabilities does not hold for this problem. With the aid of Squire’s transformation the conclusion is drawn that all fluids will become unstable at the same value of the Rayleigh number irrespective of whether shear is present or not.


1974 ◽  
Vol 65 (1) ◽  
pp. 29-32 ◽  
Author(s):  
A. P. Gallagher

In two earlier papers (Gallagher & Mercer 1962, 1964) the results for the first four eigenvalues of the problem of the stability of plane Couette flow were given. The first twelve eigenvalues have been calculated by the same method and the results show that the manner in which the eigenvalues join to form complex pairs depends on α, the wavenumber of the disturbance. They also would appear to indicate that mode-crossing always occurs.


1989 ◽  
Vol 111 (2) ◽  
pp. 152-156 ◽  
Author(s):  
R. T. Carr ◽  
N. R. Tiruvaloor

New data on laminar heat convection with red cell suspensions have been gathered for both heating and cooling. When compared to data for the suspending medium alone, it is apparent that the red cells enhance laminar heat transfer when Pe > 4. This is probably due to particle movements. These new data disagree with earlier studies which indicated no enhancement of heat transfer for blood cell suspensions. The data do agree with previous correlations for enhanced thermal transport in sheared suspensions.


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