In this note, we present some results concerning the gas displacement of power-law liquids and viscoplastic Papanastasiou's materials improving the understanding of the problem considered in Sousa et al. (2007) [1]. Specifically, we present: the fraction of mass attached to the wall for a viscosity-thickening power-law fluid, different transition patterns between by pass and full-recirculating flow regimes, expressions for the critical (in the sense proposed by Soares and Thompson (2009) [2]) fraction of residual mass as a function of the rheological parameter of interest, and fields of yielded and unyielded zones for the visco-plastic material. (C) 2010 Elsevier B.V. All rights reserved.