Padé approximants for large-amplitude oscillatory shear flow
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| 024 | 7 | 0 | |a 10.1007/s00397-015-0856-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00397-015-0856-9 | ||
| 245 | 0 | 0 | |a Padé approximants for large-amplitude oscillatory shear flow |h [Elektronische Daten] |c [A. Giacomin, Chaimongkol Saengow, Martin Guay, Chanyut Kolitawong] |
| 520 | 3 | |a Analytical solutions for either the shear stress or the normal stress differences in large-amplitude oscillatory shear flow, both for continuum or molecular models, often take the form of the first few terms of a power series in the shear rate amplitude. Here, we explore improving the accuracy of these truncated series by replacing them with ratios of polynomials. Specifically, we examine replacing the truncated series solution for the corotational Maxwell model with its Padé approximants for the shear stress response and for the normal stress differences. We find these Padé approximants to agree closely with the corresponding exact solution, and we learn that with the right approximants, one can nearly eliminate the inaccuracies of the truncated expansions. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Rheology |2 nationallicence | |
| 690 | 7 | |a Nonlinear viscoelasticity |2 nationallicence | |
| 690 | 7 | |a Oscillatory shear |2 nationallicence | |
| 700 | 1 | |a Giacomin |D A. |u Chemical Engineering Department, Queen's University, K7L 3N6, Kingston, Ontario, Canada |4 aut | |
| 700 | 1 | |a Saengow |D Chaimongkol |u Polymers Research Group, Queen's University, K7L 3N6, Kingston, Ontario, Canada |4 aut | |
| 700 | 1 | |a Guay |D Martin |u Chemical Engineering Department, Queen's University, K7L 3N6, Kingston, Ontario, Canada |4 aut | |
| 700 | 1 | |a Kolitawong |D Chanyut |u Mechanical and Aerospace Engineering Department, Polymer Research Center, King Mongkut's University of Technology North Bangkok, 10800, Bangkok, Thailand |4 aut | |
| 773 | 0 | |t Rheologica Acta |d Springer Berlin Heidelberg |g 54/8(2015-08-01), 679-693 |x 0035-4511 |q 54:8<679 |1 2015 |2 54 |o 397 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00397-015-0856-9 |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/s00397-015-0856-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Giacomin |D A. |u Chemical Engineering Department, Queen's University, K7L 3N6, Kingston, Ontario, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Saengow |D Chaimongkol |u Polymers Research Group, Queen's University, K7L 3N6, Kingston, Ontario, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Guay |D Martin |u Chemical Engineering Department, Queen's University, K7L 3N6, Kingston, Ontario, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kolitawong |D Chanyut |u Mechanical and Aerospace Engineering Department, Polymer Research Center, King Mongkut's University of Technology North Bangkok, 10800, Bangkok, Thailand |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Rheologica Acta |d Springer Berlin Heidelberg |g 54/8(2015-08-01), 679-693 |x 0035-4511 |q 54:8<679 |1 2015 |2 54 |o 397 | ||