Abstract
The steady pressure-driven flow of viscous fluid in a circular pipe has an associated flux that can be increased by partially filling the pipe and having the remaining volume either void or filled with less viscous, lubricating fluid. Flux gains are larger in the latter case than in the former. These previous results are extended here to non-Newtonian flow, in particular, the power law fluid and the modified Bingham plastic. The non-linear differential equation is solved computationally by employing suitable acceleration procedures to enhance the rate of convergence of iterative methods applied to the sparse non-symmetric linear systems.
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