Chemistry Reference
In-Depth Information
/
*
Figure 6.13. Order parameter
vs.
reduced concentration of lyotropic liquid crystalline
polymers. (From Doi & Edwards, 1986.)
1
4
of the reduced concentration
φ/φ
∗
=
8
9
and then gradually approaches
unity.
Lee (1988) further connected the viscosities of liquid crystalline polymers
(in the unit of
η
) with concentration and molecular length as Equa-
tion (6.37), where
λ
is a constant less than unity which is associated with
the stability of simple shear flow,
µ
is a dimensionless parameter associ-
ated with the interaction in the fluid,
R
=
P
4
(
a
·
n
)
is the second order
parameter where
is the molecular long axis and
P
4
is the fourth rank
Legendre polynomial.
a
α
1
=
−
(2
−
µ
)
R,
1+
1
λ
S,
α
2
=
−
1
S,
(6.37)
1
λ
α
3
=
−
−
α
4
=
2
105
[7(3 +
µ
)
−
−
−
5(3+2
µ
)
S
3(2
µ
)
R
]
,
