caa a22 4500 605466521 CHVBK 20210128100307.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00397-014-0819-6 doi (NATIONALLICENCE)springer-10.1007/s00397-014-0819-6 Large-amplitude oscillatory shear: comparing parallel-disk with cone-plate flow [Elektronische Daten] [A. Giacomin, Peter Gilbert, Dimitri Merger, Manfred Wilhelm] We compare the ratio of the amplitudes of the third to the first harmonic of the torque, , measured in rotational parallel-disk flow, with the ratio of the corresponding harmonics of the shear stress, |τ 3|/|τ 1|, that would be observed in sliding-plate or cone-plate flow. In other words, we seek a correction factor with which must be multiplied, to get the quantity |τ 3|/|τ 1|, where |τ 3|/|τ 1| is obtained from any simple shearing flow geometry. In this paper, we explore theoretically, the disagreement between and τ 3/τ 1 using the simplest continuum model relevant to large-amplitude oscillatory shear flow: the single relaxation time co-rotational Maxwell model. We focus on the region where the harmonic amplitudes and thus, their ratios, can be fully described with power laws. This gives the expression for , by integrating the explicit analytical solution for the shear stress. In the power law region, we find that, for low Weissenberg numbers, for the third harmonics , and for the fifth harmonics, . We verify these results experimentally. In other words, the heterogeneous flow field of the parallel-disk geometry significantly attenuates the higher harmonics, when compared with the homogeneous, sliding-plate flow. This is because only the outermost part of the sample is subject to the high shear rate amplitude. Furthermore, our expression for the torque in large-amplitude oscillatory parallel-disk flow is also useful for the simplest design of viscous torsional dampers, that is, those incorporating a viscoelastic liquid between two disks. Springer-Verlag Berlin Heidelberg, 2015 Rheology nationallicence Oscillatory shear nationallicence Large-amplitude oscillatory shear nationallicence Giacomin A. Chemical Engineering Department, Polymers Research Group, Queen's University, K7L 3N6, Kingston, ON, Canada aut Gilbert Peter Chemical Engineering Department, Polymers Research Group, Queen's University, K7L 3N6, Kingston, ON, Canada aut Merger Dimitri Institut für Technische und Polymerchemie, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany aut Wilhelm Manfred Institut für Technische und Polymerchemie, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany aut Rheologica Acta Springer Berlin Heidelberg 54/4(2015-04-01), 263-285 0035-4511 54:4<263 2015 54 397 https://doi.org/10.1007/s00397-014-0819-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00397-014-0819-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Giacomin A. Chemical Engineering Department, Polymers Research Group, Queen's University, K7L 3N6, Kingston, ON, Canada aut NATIONALLICENCE 700 1- Gilbert Peter Chemical Engineering Department, Polymers Research Group, Queen's University, K7L 3N6, Kingston, ON, Canada aut NATIONALLICENCE 700 1- Merger Dimitri Institut für Technische und Polymerchemie, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany aut NATIONALLICENCE 700 1- Wilhelm Manfred Institut für Technische und Polymerchemie, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany aut NATIONALLICENCE 773 0- Rheologica Acta Springer Berlin Heidelberg 54/4(2015-04-01), 263-285 0035-4511 54:4<263 2015 54 397