wall_fraction: wall_fraction

In tbgitoo/rheologyEvaluation: rheologyEvaluation

Description

Function to estimate the wall fraction from the polymer concentration. Needs two constants, the wall concentration and the osmotic coefficient gamma

Usage

wall_fraction(polymer_concentration=10,wall_concentration=70,gamma=0.15)

Arguments

polymer_concentration	Polymer concentration in mg/mL
wall_concentration	Nominal wall concentration
gamma	Compressibility constant of the walls

Value

Vector of the same length as polymer_concentration, indicating the theoretical wall fraction with the coefficients wall_fraction and gamma

Author(s)

Thomas Braschler

References

Pellet, C. and M. Cloitre, The glass and jamming transitions of soft polyelectrolyte microgel suspensions. Soft Matter, 2016. 12(16): p. 3710-20, see also Supplementary 8 of the manuscript "An injectable meta-biomaterial", particularly for values of the wall concentration and gamma fraction

Examples

conc=0:200
uncompressed_wall_concentration=70 # uncompressed wall concentration spontaneously adapted when the polymer particles are not under force
plot(conc,wall_fraction(conc,wall_concentration=uncompressed_wall_concentration),xlab="Total polymer concentration [mg/mL]",ylab="Space fraction occupied by solid material",main="Theoretical wall fraction estimation")
lines(c(0,200),c(0,200)/uncompressed_wall_concentration,type="l",col="red")
legend("bottomright",legend=c("Pellet & Cloitre","uncompressed wall material"),lty=c(1,1),pch=c(1,-1),col=c("black","red"))

tbgitoo/rheologyEvaluation documentation built on March 19, 2021, 8 p.m.