Viscous flow beneath a viscous or plastic skin

When a viscous fluid spreads underneath deformable surface skin or crust, the peeling dynamics at front can control rate of advance rather than bulk self-similar flow. For an elastic skin, this results in quasi-static interior blister held constant pressure that is matched to narrow region behind front. In paper, analogous problem considered for deforms either viscously plastically, both. particular, assumed be thin plate material governed by Herschel–Bulkley constitutive law. We examine how such controls flow underneath, fed flux and spreading as planar axisymmetric current. As again spreading. However, contrary situation, mathematical matching viscoplastic simplified considerably result integral constraint. Despite this, structure complicated significantly any plasticity which create convoluted wave ahead main features interwoven yielded plugged sections plate.