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Minimization of Viscous Fluid Fingering: A Variational Scheme for Optimal Flow Rates
Dias, Eduardo O.; Álvarez Lacalle, Enrique; Carvalho, Marcio S.; Miranda, José A.
Universitat Politècnica de Catalunya. Departament de Física Aplicada
Conventional viscous fingering flow in radial Hele-Shaw cells employs a constant injection rate, resulting in the emergence of branched interfacial shapes. The search for mechanisms to prevent the development of these bifurcated morphologies is relevant to a number of areas in science and technology.A challenging problem is how best to choose the pumping rate in order to restrain the growth of interfacial amplitudes. We use an analytical variational scheme to look for the precise functional form of such anoptimal flow rate.We find it increases linearly with time in a specific manner so that interface disturbances are minimized. Experiments and nonlinear numerical simulations support the effectiveness of thisparticularly simple, but nontrivial, pattern controlling process.
Àrees temàtiques de la UPC::Enginyeria mecànica
Àrees temàtiques de la UPC::Física
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