Hydrodynamic Aspects of Macromolecular Solutions 

 \ 



FIBERS. ETC. 



BLOOD 

 CELLS 



10 



10 



DISSIPATIVE 



RATIO OF FORCES: 



INERTIAL 

 VISCOUS 



INERTIAL 

 THERMAL 



VISCOUS 

 THERMAL 



X~tl'2 



X~t^= 



X~t'/3 



DISSIPATIVE 



MACROMOLECULES 



-► t 



10' 



10' 



Fig. 1 - Effect of particle size (\) and 

 straining time (t) on flow processes 



example). When strained relative to this state, free energy in an amount pro- 

 portional to entropy change is stored within the molecule in vibrations of its 

 links; we may properly call this the strain energy. It consists of a springlike 

 portion due to the coherence of the chain, which resists its expansion, and an- 

 other gaslike part which even a collection of separated particles possesses — 

 and which resists compression. These ideas can be given a formal represen- 

 tation: 



X, = 



3£ 



3X: 



where 



and 



£ = T • S 



-k -in [P(aj, a^, a^)] 



— (a^ + a^ + a^2 - 2^ + k -{n (a j a^ ttj ) , 



Y 



springl ike 



^ <- 



Y 



gasl ike 



