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A heat pipe model for vertical, magma-filled conduits
Authors:Charles R Carrigan
Abstract:A 5-m radius magma-filled conduit will solidify in much less than one year if heat losses to the conduit wall are not offset by some form of forced or free convection of magma from some source body through the conduit. If the forced convection of magma from a source through the conduit is either too weak or is prevented by closure of the conduit at the end nearest the surface, only free convective circulations between the source chamber and conduit are available to balance the wall heat loss. Using an integral approach, the efficiency of free convection is investigated for conduits emplaced in both conductive and hydrothermally convective host rock environments. The results of the model strongly suggest that free circulations within conduits of large aspect ratio provide an efficient mechanism for offsetting heat losses to the conduit wall. The model provides a possible explanation for the occurrence of periodic eruptions from a conduit when the periodicity greatly exceeds the time scale for the cooling of a quiescent conduit by heat loss through the wall.
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