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ORAL PRESENTATION
Session: 4 Complex fluid deformation and rheology: Theories and thermodynamic relationships
(scheduled: Tuesday, 08:50 )
Thermodynamic relationships for shearing viscoelastic fluids
P.J. Daivis
Applied Physics, School of Applied Sciences, RMIT University, Melbourne, Australia
It is shown that the work done in taking a viscoelastic fluid from equilibrium into a shearing steady state can be separated into viscous and elastic parts. This separation is completely phenomenological and therefore does not require any special assumptions about the substance being studied. It is also expected to be valid for non-linear viscoelastic materials. In the limit of zero shear rate, it is possible to use the standard machinery of thermodynamics to derive a Maxwell relation between the shear rate dependence of the pressure and the reversible part of the work required to establish a shearing steady state. This leads to a useful relationship between the stored energy in a shearing linear viscoelastic fluid and the limiting zero shear rate value of the first normal stress coefficient. This relationship explicitly confirms the expectation that the first normal stress coefficient of a linear viscoelastic fluid is associated with elasticity. © IWNET 2006
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and Kleanthi for IWNET 2006