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Authors: Costa, Antonio* 
Macedonio, Giovanni* 
Title: Nonlinear phenomena in fluids with temperature-dependent viscosity: An hysteresis model for magma flow in conduits
Issue Date: 2002
Series/Report no.: /29 (2002)
DOI: 10.1029/2001GL014493
Abstract: Magma viscosity is strongly temperature-dependent. When hot magma flows in a conduit, heat is lost through the walls and the temperature decreases along the flow causing a viscosity increase. For particular values of the controlling parameters the steady-flow regime in a conduit shows two stable solutions belonging either to the slow or to the fast branch. As a consequence, this system may show an hysteresis effect, and the transition between the two branches can occur quickly when the critical points are reached. In this paper we describe a model to study the relation between the pressure at the inlet and the volumetric magma flow rate in a conduit. We apply this model to explain an hysteric jump observed during the dome growth at Soufrière Hills volcano (Montserrat), and described by Melnik and Sparks [1999] using a different model.
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