D. Bernardin et C. Nouar, TRANSIENT COUETTE FLOWS OF OLDROYD FLUIDS UNDER IMPOSED TORQUES, Journal of non-Newtonian fluid mechanics, 77(3), 1998, pp. 201-231
We study the transient Couette flow of an Oldroyd fluid that fills the
gap between two circular cylinders when a constant torque is suddenly
applied to the inner cylinder, the outer one being kept motionless. C
ontrarily to most former studies, the inertia of the moving boundary i
s not neglected. We give the exact solutions of this problem for a wid
e class of initial conditions and we present a rigorous asymptotic ana
lysis for small gap devices when the initial state is stationary. The
case of Grade 2 fluids is also considered and treated. We also show in
some experimental tests, that the knowledge of the relaxation curve o
f the angular velocity of the rotor can be used to identify the parame
ters of the model. (C) 1998 Elsevier Science B.V. All rights reserved.