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Laboratory experiments in which synthetic, partially molten rock is subjectedto forced deformation provide a context for testing hypotheses about thedynamics and rheology of the mantle. Here our hypothesis is that the aggregateviscosity of partially molten mantle is anisotropic, and that this anisotropyarises from deviatoric stresses in the rock matrix. We formulate a model ofpipe Poiseuille flow based on theory by Takei and Holtzman [2009a] and Takeiand Katz [2013]. Pipe Poiseuille is a configuration that is accessible tolaboratory experimentation but for which there are no published results. Weanalyse the model system through linearised analysis and numerical simulations.This analysis predicts two modes of melt segregation: migration of melt fromthe centre of the pipe toward the wall and localisation of melt intohigh-porosity bands that emerge near the wall, at a low angle to the shearplane. We compare our results to those of Takei and Katz [2013] for planePoiseuille flow; we also describe a new approximation of radially varyinganisotropy that improves the self-consistency of models over those of Takei andKatz [2013]. This study provides a set of baseline, quantitative predictions tocompare with future laboratory experiments on forced pipe Poiseuille flow ofpartially molten mantle.

Pipe Poiseuille flow of viscously anisotropic, partially molten rock