TY - JOUR
T1 - Bénard-Marangoni instability in a viscoelastic ferrofluid
AU - Laroze, David
AU - Martinez-Mardones, Javier
AU - Pleiner, Harald
PY - 2013
Y1 - 2013
N2 - In this paper we report theoretical and numerical results on convection of a magnetic fluid in a viscoelastic carrier liquid. The viscoelastic properties are given by the Oldroyd model. We impose the lower interface to be rigid, whereas the upper one is free and is assumed to be non-deformable and flat. Also, at the upper interface the surface tension is taken to vary linearly with the temperature. Using a spectral method we calculate numerically the convective thresholds for both stationary and oscillatory bifurcations. The effect of the viscoelasticity and the Kelvin force on the instability thresholds are emphasized.
AB - In this paper we report theoretical and numerical results on convection of a magnetic fluid in a viscoelastic carrier liquid. The viscoelastic properties are given by the Oldroyd model. We impose the lower interface to be rigid, whereas the upper one is free and is assumed to be non-deformable and flat. Also, at the upper interface the surface tension is taken to vary linearly with the temperature. Using a spectral method we calculate numerically the convective thresholds for both stationary and oscillatory bifurcations. The effect of the viscoelasticity and the Kelvin force on the instability thresholds are emphasized.
UR - https://www.scopus.com/pages/publications/84874976090
U2 - 10.1140/epjst/e2013-01782-6
DO - 10.1140/epjst/e2013-01782-6
M3 - Article
AN - SCOPUS:84874976090
SN - 1951-6355
VL - 219
SP - 71
EP - 80
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
IS - 1
ER -