caa a22 4500 445811781 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00419-011-0519-y doi (NATIONALLICENCE)springer-10.1007/s00419-011-0519-y Stress analysis for a cavity flow of a memory fluid [Elektronische Daten] [G. Böhme, A. Müller] The paper deals with the plane creeping flow of a viscoelastic liquid within an idealized rotor-stator system consisting of a rotating cylindrical drum and a fixed internal plate. The rheological properties of the liquid are modelled by a single-integral constitutive equation which considers a memory but disregards shear-thinning features. It is pointed out that the flow kinematics of such a memory fluid deviates only marginally from the Newtonian kinematics whereas the stress field is much more complicated. Therefore, the Newtonian velocity field is applied which can be represented in a closed analytical form using elementary complex-valued functions. The formulation allows computing the strain history and the resulting stress state with little numerical effort. A careful asymptotic analysis close to the corners yields details of the singular stress behaviour which differs markedly from the Newtonian characteristic. Finally, a second-order approximation being valid under certain restrictions leads to explicit analytical expressions also concerning the viscoelastic stress components. Altogether, a well-founded insight as regards the complex stress distribution and the effect of Deborah number is attained. Springer-Verlag, 2011 Creeping flow nationallicence Single-integral constitutive equation nationallicence Analytical solution nationallicence Strain history and stress integration nationallicence Corner singularities nationallicence Böhme G. Institute of Mechanics, Helmut-Schmidt-University, 22039, Hamburg, Germany aut Müller A. German Engineer School and Army School of Construction Engineering, 85053, Ingolstadt, Germany aut Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1807-1826 0939-1533 81:12<1807 2011 81 419 https://doi.org/10.1007/s00419-011-0519-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0519-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Böhme G. Institute of Mechanics, Helmut-Schmidt-University, 22039, Hamburg, Germany aut NATIONALLICENCE 700 1- Müller A. German Engineer School and Army School of Construction Engineering, 85053, Ingolstadt, Germany aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1807-1826 0939-1533 81:12<1807 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer