Rheological Theory and Simulation of Surfactant Nematic Liquid Crystals - Self-Assembled Supramolecular Architectures: Lyotropic Liquid Crystals - page 63

OEA OTP OTC [1] OTC

Flow regimes

1 2 3 4 5 6 7 8

OEC [2]

IE
IT

IT

IW

IV
OEA

R

OEA[1]
OEC[2]

2 3 4 5

IE

6

7

OTP
OTC

IW

1

Ericksen number

8

(b)

Er

IV

(a)

Figure 2.23 (a) Rheological phase diagram as a function of the ratio of short- to long-range elasticity ( R ) and the ratio of viscous
fl ow to long-range elasticity effects (Er), and corresponding director confi gurations. There are eight fl ow regimes in the parametric
space Er and R and nine fl ow modes. Lines represent fl ow regime transitions. The dotted line shows the transition between in-plane
and out-of-plane modes. The arrows represent the director, and empty circles are the abnormal nematic state. (b) Shows fl ow modes
observation probability as a function of the Ericksen number. The fi gure presents the concepts of fl ow regime transitions in terms
of the change in the observation probability with increasing Er. [Adapted from Tsuji and Rey (1998).]