Abstract
The \ensuremath{\eta} model in the linear or radial geometry is investigated numerically. It turns out that the main characteristics of the viscous fingering instability (\ensuremath{\eta}=1) at vanishing capillary number such as the \ensuremath{\lambda}=1/2 limit are not recovered. For \ensuremath{\eta}\ensuremath{\ne}1, the selected finger width decreases with the capillary parameter, indicating the formation of needlelike structures.
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