Vandの式

質問

懸濁液の粒子濃度から液の粘性係数を求める近似式でVandの式というのが
ある様ですが、どういう式か教えてください。

回答No.1

noname#160321 · ベストアンサー

血液に関して、↓　三ページ目のpp951、式(5)
http://www.blackwell-synergy.com/doi/pdf/10.1111/j.1525-1594.2005.00164.x
その他
八ページ目pp714式(4)↓
http://www.nipne.ro/rjp/2004_49_9-10/0707_0722.pdf

Colloids and Surfaces A: Physicochemical and Engineering Aspects, Volume 98, Issue 3, 22 May 1995, Pages 251-270

Vand's equation is given by ln(η_rel)=a1VC/(1-1 -Q'C)
with
η_rel=η_solution/η_solvent=relative viscosity (1)
where C is the solute concentration (surfactant + water), a1 is the shape factor (2.5 for spheres), V is the partial molar volume of a micellar substance,
and Q' is a constant coefficient dependent on the Brownian motions and interactions between aggregates.
The equation can be linearized as
1/Clnη_rel = al V+ Q'inη_rel (2)
where C= Ct-CMC, in which Ct is the total solute concentration, and the solvent viscosity, t/o, is the viscosity at the CMC. If Eq. (2) is linear, the shape of the aggregates is conserved over the studied concentration range.

お礼

なるほど粒子によって式が微妙に異なっているのですね。
どうも助かりました。