Large-amplitude oscillatory shear: comparing parallel-disk with cone-plate flow
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| 024 | 7 | 0 | |a 10.1007/s00397-014-0819-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00397-014-0819-6 | ||
| 245 | 0 | 0 | |a Large-amplitude oscillatory shear: comparing parallel-disk with cone-plate flow |h [Elektronische Daten] |c [A. Giacomin, Peter Gilbert, Dimitri Merger, Manfred Wilhelm] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Rheology |2 nationallicence | |
| 690 | 7 | |a Oscillatory shear |2 nationallicence | |
| 690 | 7 | |a Large-amplitude oscillatory shear |2 nationallicence | |
| 700 | 1 | |a Giacomin |D A. |u Chemical Engineering Department, Polymers Research Group, Queen's University, K7L 3N6, Kingston, ON, Canada |4 aut | |
| 700 | 1 | |a Gilbert |D Peter |u Chemical Engineering Department, Polymers Research Group, Queen's University, K7L 3N6, Kingston, ON, Canada |4 aut | |
| 700 | 1 | |a Merger |D Dimitri |u Institut für Technische und Polymerchemie, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany |4 aut | |
| 700 | 1 | |a Wilhelm |D Manfred |u Institut für Technische und Polymerchemie, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany |4 aut | |
| 773 | 0 | |t Rheologica Acta |d Springer Berlin Heidelberg |g 54/4(2015-04-01), 263-285 |x 0035-4511 |q 54:4<263 |1 2015 |2 54 |o 397 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00397-014-0819-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00397-014-0819-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Giacomin |D A. |u Chemical Engineering Department, Polymers Research Group, Queen's University, K7L 3N6, Kingston, ON, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gilbert |D Peter |u Chemical Engineering Department, Polymers Research Group, Queen's University, K7L 3N6, Kingston, ON, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Merger |D Dimitri |u Institut für Technische und Polymerchemie, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wilhelm |D Manfred |u Institut für Technische und Polymerchemie, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Rheologica Acta |d Springer Berlin Heidelberg |g 54/4(2015-04-01), 263-285 |x 0035-4511 |q 54:4<263 |1 2015 |2 54 |o 397 | ||