caa a22 4500 606166645 CHVBK 20210128100659.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10665-014-9725-2 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9725-2 Shallow flows of generalised Newtonian fluids on an inclined plane [Elektronische Daten] [David Pritchard, Brian Duffy, Stephen Wilson] We derive a general evolution equation for a shallow layer of a generalised Newtonian fluid undergoing two-dimensional gravity-driven flow on an inclined plane. The flux term appearing in this equation is expressed in terms of an integral involving the prescribed constitutive relation and, crucially, does not require explicit knowledge of the velocity profile of the flow; this allows the equation to be formulated for any generalised Newtonian fluid. In particular, we develop general solutions for travelling waves on a mild slope and for kinematic waves on a moderately steep slope; these results provide simple and accessible models of, for example, the propagation of non-Newtonian mud and debris flows. Springer Science+Business Media Dordrecht, 2014 Free-surface flow nationallicence Lubrication flow nationallicence Non-Newtonian rheology nationallicence Thin film nationallicence Pritchard David Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, G1 1XH, Glasgow, Scotland, UK aut Duffy Brian Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, G1 1XH, Glasgow, Scotland, UK aut Wilson Stephen Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, G1 1XH, Glasgow, Scotland, UK aut Journal of Engineering Mathematics Springer Netherlands 94/1(2015-10-01), 115-133 0022-0833 94:1<115 2015 94 10665 https://doi.org/10.1007/s10665-014-9725-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9725-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pritchard David Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, G1 1XH, Glasgow, Scotland, UK aut NATIONALLICENCE 700 1- Duffy Brian Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, G1 1XH, Glasgow, Scotland, UK aut NATIONALLICENCE 700 1- Wilson Stephen Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, G1 1XH, Glasgow, Scotland, UK aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 94/1(2015-10-01), 115-133 0022-0833 94:1<115 2015 94 10665