Stationary and Oscillatory Flow of the Reiner-Rivlin Fluid Between Two External Rollers
In a certain class of thin-layer viscoelastic flows, the extensional parts of deformation are much greater than the shearing ones. For such flows we may apply the model of the Reiner-Rivlin fluid [1]. This concept is applied to the stationary and oscillatory flow between two rotating external cylinders. The approximate solutions are presented and possible effects of the extensional viscosity function on the loads and friction forces are discussed.
References
S. ZAHORSKI, Mechanics of viscoelastic fluids, M. Nijhoff Publishers, The HagueBoston-London 1982.
A. CAMERON, The principle of lubrication, Longmans, 1966.
S. ZAHORSKI, Viscoelastic flow between two rotating cylinders: application to rolling or calendering processes, Arch. Mech., 38, 4, 473-491, 1986.
M. MIKSA, Viscoelastic flow between two rotating cylinders as the flow with dominating extension, Proc. Int. AMSE Conf. "Signals and System", Delhi (India), December 9-11, 1991.
M. MIKSA, Viscoelastic flows with dominating extensions: application to vibrations of two rotating cylinders, Proc. Int. AMSE Conf. "Signals and System", Delhi (India), December 9-11, 1991.
J.R.A. PEARSON, Mechanics of polymer processing, Elsevier Applied Science Publishers, London and New York 1985.
M. MIKSA, Effect of small-amplitude harmonic vibrations of a journal bearing in case of non-Newtonian lubrication fluid, Proc. Int. AMSE Conf. “Signals and System”, Brighton (UK), July 12-14, 1989.