TY - JOUR
T1 - Amplitude equation for stationary convection in a viscoelastic magnetic fluid
AU - Laroze, D.
AU - Martinez-Mardones, J.
AU - PÉrez, L. M.
PY - 2010/2
Y1 - 2010/2
N2 - We report theoretical and numerical results on convection for a magnetic fluid in a viscoelastic carrier liquid. We focus on the stationary convection for idealized boundary conditions. We obtain explicit expressions of convective thresholds in terms of the control parameters of the system. Close to bifurcation, the coefficients of the corresponding amplitude equation are determined analytically. The effect of the rheology and Kelvin force are emphasized and, finally, the nature of the bifurcation is discussed.
AB - We report theoretical and numerical results on convection for a magnetic fluid in a viscoelastic carrier liquid. We focus on the stationary convection for idealized boundary conditions. We obtain explicit expressions of convective thresholds in terms of the control parameters of the system. Close to bifurcation, the coefficients of the corresponding amplitude equation are determined analytically. The effect of the rheology and Kelvin force are emphasized and, finally, the nature of the bifurcation is discussed.
KW - Magnetic fluid
KW - Thermal convection
KW - Viscoelastic fluid
UR - https://www.scopus.com/pages/publications/77951579833
U2 - 10.1142/S0218127410025673
DO - 10.1142/S0218127410025673
M3 - Article
AN - SCOPUS:77951579833
SN - 0218-1274
VL - 20
SP - 235
EP - 242
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 2
ER -