Axial annular flow of a nonlinear viscoelastic fluid — an analytical solution

摘要: An analytical solution is given for the kinematic and stress variations across radial gap of a concentric annular flow in fully developed conditions. The fluid viscoelastic obeys non-linear rheological constitutive equation proposed by Phan-Thien Tanner [1]. This model simulates well material functions many polymer melts solutions therefore, present results are useful number practical situations. ratio pressure drop to rate found be complex mathematical function position zero shear this, turn, depends weakly on elasticity, based product an elongational parameter Deborah defined with averaged velocity. There thus coupling which could not solved explicit way inverse problem imposed rate, but iterative procedure gives ready result. For direct represent exact axial problem. Representative profiles discussed. It that, scaled corresponding Newtonian value independent diameter ratio. © 2000 Elsevier Science B.V. All rights reserved.