dc.contributor.author | Georgiou, Georgios C. | en |
dc.contributor.author | Vlassopoulos, Dimitris | en |
dc.creator | Georgiou, Georgios C. | en |
dc.creator | Vlassopoulos, Dimitris | en |
dc.date.accessioned | 2019-12-02T10:35:19Z | |
dc.date.available | 2019-12-02T10:35:19Z | |
dc.date.issued | 1998 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56867 | |
dc.description.abstract | We solve the time-dependent simple shear flow of a Johnson-Segalman fluid with added Newtonian viscosity. We focus on the case where the steady-state shear stress/shear rate curve is not monotonic. We show that, in addition to the standard smooth linear solution for the velocity, there exists, in a certain range of the velocity of the moving plate, an uncountable infinity of steady-state solutions in which the velocity is piecewise linear, the shear stress is constant and the other stress components are characterized by jump discontinuities. The stability of the steady-state solutions is investigated numerically. In agreement with linear stability analysis, it is shown that steady-state solutions are unstable only if the slope of a linear velocity segment is in the negative-slope regime of the shear stress/shear rate curve. The time-dependent solutions are always bounded and converge to a stable steady state. The number of the discontinuity points and the final value of the shear stress depend on the initial perturbation. No regimes of self-sustained oscillations have been found. © 1998 Elsevier Science B.V. | en |
dc.source | Journal of Non-Newtonian Fluid Mechanics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0032005687&partnerID=40&md5=a5718443a1645f27d85f08165460a674 | |
dc.subject | Mathematical models | en |
dc.subject | Stability | en |
dc.subject | Perturbation techniques | en |
dc.subject | Numerical analysis | en |
dc.subject | Viscosity | en |
dc.subject | Shear flow | en |
dc.subject | Non Newtonian flow | en |
dc.subject | Shear stress | en |
dc.subject | Piecewise linear techniques | en |
dc.subject | fluids | en |
dc.subject | Johnson-Segalman model | en |
dc.subject | fluid | en |
dc.subject | Johnson Segalman model | en |
dc.subject | Johnson-Segalman | en |
dc.title | On the stability of the simple shear flow of a Johnson-Segalman fluid | en |
dc.type | info:eu-repo/semantics/article | |
dc.description.volume | 75 | |
dc.description.issue | 1 | |
dc.description.startingpage | 77 | |
dc.description.endingpage | 97 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :42</p> | en |
dc.source.abbreviation | J.Non-Newton.Fluid Mech. | en |
dc.contributor.orcid | Vlassopoulos, Dimitris [0000-0003-0866-1930] | |
dc.contributor.orcid | Georgiou, Georgios C. [0000-0002-7451-224X] | |
dc.gnosis.orcid | 0000-0003-0866-1930 | |
dc.gnosis.orcid | 0000-0002-7451-224X | |