Frequency-dependent shear viscosity, sound velocity, and sound attenuation near the critical point in liquids. I. Theoretical results

1998 ◽  
Vol 57 (1) ◽  
pp. 683-704 ◽  
Author(s):  
R. Folk ◽  
G. Moser
1987 ◽  
Vol 67 (3-4) ◽  
pp. 237-289 ◽  
Author(s):  
Charles C. Agosta ◽  
Suwen Wang ◽  
L. H. Cohen ◽  
H. Meyer

1979 ◽  
Vol 37 (6) ◽  
pp. 1745-1754 ◽  
Author(s):  
Denis J. Evans

1972 ◽  
Vol 50 (16) ◽  
pp. 1881-1886 ◽  
Author(s):  
J. A. Cowan ◽  
R. N. Ball

Attenuation measurements have been made on liquid argon for temperatures between 90 and 150 °K and pressures between saturated vapor and 1000 p.s.i. Values of bulk viscosity were calculated and compared with theoretical results. For densities above 1.15 gcm−3 the PNM theory is in excellent agreement. However, below these values the theoretical results continue to decrease with density where the experimental results increase sharply. The values of the ratio of bulk to shear viscosity for saturated vapor pressure are found to be a linear function of (Tc–T)−3/2 from 90 to 140 °K.


2013 ◽  
Vol 10 (89) ◽  
pp. 20130720 ◽  
Author(s):  
Simon Gluzman ◽  
Dmitry A. Karpeev ◽  
Leonid V. Berlyand

Effective viscosity (EV) of suspensions of puller-like microswimmers (pullers), for example Chlamydamonas algae, is difficult to measure or simulate for all swimmer concentrations. Although there are good reasons to expect that the EV of pullers is similar to that of passive suspensions, analytical determination of the passive EV for all concentrations remains unsatisfactory. At the same time, the EV of bacterial suspensions is closely linked to collective motion in these systems and is biologically significant. We develop an approach for determining analytical EV estimates at all concentrations for suspensions of pullers as well as for passive suspensions. The proposed methods are based on the ideas of renormalization group (RG) theory and construct the EV formula based on the known asymptotics for small concentrations and near the critical point (i.e. approaching dense packing). For passive suspensions, the method is verified by comparison against known theoretical results. We find that the method performs much better than an earlier RG-based technique. For pullers, the validation is done by comparing them to experiments conducted on Chlamydamonas suspensions.


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