Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9717646 | International Journal of Engineering Science | 2005 | 8 Pages |
Abstract
The linear stability of three-layer Hele-Shaw flows with middle-layer having variable viscosity is considered. Based on application of the Gerschgorin's theorem on finite-difference approximation of the linearized disturbance equations, an upper bound of the growth rate is given and its limiting case for the case of constant viscosity middle-layer is considered. A weak formulation of this equation, we obtained after some analysis. The upper bound in this case has also been derived here by analyzing an weak formulation of the problem.
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Authors
Prabir Daripa, G. PaÅa,