Pii: S0167-2789(98)00097-9
نویسندگان
چکیده
The Saffman–Taylor viscous fingering instability occurs when a less viscous fluid displaces a more viscous one between narrowly spaced parallel plates in a Hele–Shaw cell. Experiments in radial flow geometry form fan-like patterns, in which fingers of different lengths compete, spread and split. Our weakly nonlinear analysis of the instability predicts these phenomena, which are beyond the scope of linear stability theory. Finger competition arises through enhanced growth of sub-harmonic perturbations, while spreading and splitting occur through the growth of harmonic modes. Nonlinear mode-coupling enhances the growth of these specific perturbations with appropriate relative phases, as we demonstrate through a symmetry analysis of the mode coupling equations. We contrast mode coupling in radial flow with rectangular flow geometry. © 1998 Elsevier Science B.V. PACS: 47.20.Ma; 47.20.Gv; 47.54.+r; 68.10.-m
منابع مشابه
Pii: S0167-2789(98)00051-7
It is shown that the minimum energy required to transmit a natural unit of information (nat) over a noisy channel is k T, where T is the effective noise temperature which depends on the interaction between the information career and the environment. The result follows from the entropy defect principle and general laws of quantum dynamics without any specific assumptions. © 1998 Published by Els...
متن کاملReversible Simulation of Irreversible Computation by Pebble Games
Reversible simulation of irreversible algorithms is analyzed in the stylized form of a ‘reversible’ pebble game. The reacheable reversible simulation instantaneous descriptions (pebble configurations) are characterized completely. As a corollary we obtain the reversible simulation by Bennett and that among all simulations that can be modelled by the pebble game, Bennett’s simulation is optimal ...
متن کاملPii: S0167-2789(98)00168-7
We compare two algorithms for the numerical estimation of the correlation dimension from a finite set of vectors: the "classical" algorithm of Grassberger and Procaccia (GPA) and the recently proposed algorithm of Judd (JA). Data set size requirements and their relations to systematic and statistical errors of the estimates are investigated. It is demonstrated that correlation dimensions of the...
متن کامل