Linear birefringence measurements of dilute and semi-dilute polyisobut
ylene solutions following flow through a disordered fixed fibre bed of
2.47% solids volume fraction provide both transient and steady measur
ements of chain deformation. Our results indicate that the flexible po
lyisobutylene polymers undergo a large conformation change, stretching
in the direction of the average flow. This occurs even though the ave
rage flow in the bed is a plug flow which would not cause any polymer
stretch by itself. The polymer stretch or conformation change increase
s with the number of chain interactions with bed fibres and ultimately
reaches a steady-state value that can be correlated with the pore-siz
e Deborah number (i.e. a characteristic polymer relaxation time divide
d by a characteristic flow time in the bed pore). Large changes in the
polymer conformation are noted for values of the Deborah number, De >
5. In addition, the time to steady state scales with the characterist
ic flow time within a pore over a large range of Deborah numbers. The
pressure drop across the fibre bed was also measured simultaneously wi
th the birefringence measurement and was found to be directly proporti
onal to the birefringence throughout the range of De investigated. Thu
s, we show empirically, for the first time, that chain elongation, whi
ch produces normal stress anisotropy within the fluid, is directly res
ponsible for the increased flow resistance. These findings are then an
alysed in the light of recent theories for the response of polymer mol
ecules in fixed bed flow fields (Shaqfeh and Koch 1992). It is shown t
hat our results are consistent with the interpretation that these flow
s are stochastic strong flows, which create an apparent 'coil-stretch'
transition. After extending the theory of Shaqfeh and Koch to account
for the specifics in the experiments, including the bed geometry and
statistics as well as the polydispersity of the polymer solutions, it
is shown that the theory can predict most of the experimental results
both qualitatively and quantitatively.