"Viscosity of Linear Polyesters. An
Exact Relationship between Viscosity and Chain Length"
by Paul J. Flory
Viscosity is a function of:

- viscosity of the medium (i.e., the viscosity of the solvent)
- density of the medium
- density (of the whole system??--I need a reference to confirm this)
- number density of particles
number of particles divided by the sum of
- the number of particles
- the number of medium particles
- radius of the "drain"
-
shear rate
- thermal energy (Boltzmann constant multiplied against temperature)
- elapsed time
- In its simplest form, viscosity
is a measure of flow time, and hence,
it has the units of seconds. Shear
- A simple viscosity determination using an Ubbelholde will
involve
- Filling the viscometer with pure solvent to a given level,
and then measuring the drain time for the pure solvent,
.
- Filling the viscometer with the same solvent with a dilute
concentration of dissolved polymer and
measuring the drain time again,
.
It will take longer because
of the increase in viscosity:
is greater than

- Calculating,
.
This will give you a number greater
than 1, with no units.

- Here is the equation for specific viscosity,
:

- For the viscosity experiment, the disolved polymer coil is approximated
by an "equivalent sphere."
In a homework problem you may be given the radius the equivalent sphere,
from which you can calculate the volume of the equivalent sphere:

- Here is the relationship between intrinsic viscosity,
, and the volume
of equivalent spheres:

- Here is the equation for intrinsic viscosity
:

- Viscosity experiments often make use of the
Mark-Houwink equation to determine molecular weight.
- Viscosity is calculated by the
Eyring Viscosity Equation.
- Viscosity is calculated by the
Hagen-Poiseuille equation also.
- Viscosity is related to coil expansion by the
Universal constant,
.
Here is a theoretical equation for "generic" viscosity:
Last Update- June 15, 1995- wld