1985
DOI: 10.1111/j.1365-246x.1985.tb04331.x
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On the penetration of a hot diapir through a strongly temperature-dependent viscosity medium

Abstract: The ascent of a hot spherical body through a fluid with a strongly temperature-dependent viscosity has been studied using an axisymmetric finite element method. Numerical solutions range over Peclet numbers of lo-' -lo3 from constant viscosity up to viscosity variations of 10'. Both rigid and stress-free boundary conditions were applied at the surface of the sphere. The dependence of drag on viscosity variation was shown to have no dependence on the stress boundary condition except for a Stokes flow scaling fa… Show more

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Cited by 44 publications
(35 citation statements)
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“…According to GROUT'S (1932) suggestion (see also SCHMELLING et al, 1988 andCRUDER, 1990), rock flow around the diapirs should occur within a narrow zone in response to warming by the magma and could permit their rise. This problem, which has come to be known as the hot Stoke's model (MARSH, 1982) has been approached in the PaSt using analytic, numerical and experimental methods (MARSH, 1982;MORRIS, 1982;RIBE, 1983;AINSARI & MOR-RIS, 1985;DALY & RAEFSKY, 1985;MAHON et al, 1988). They yield remarkably consistent results.…”
Section: Ascentmentioning
confidence: 89%
“…According to GROUT'S (1932) suggestion (see also SCHMELLING et al, 1988 andCRUDER, 1990), rock flow around the diapirs should occur within a narrow zone in response to warming by the magma and could permit their rise. This problem, which has come to be known as the hot Stoke's model (MARSH, 1982) has been approached in the PaSt using analytic, numerical and experimental methods (MARSH, 1982;MORRIS, 1982;RIBE, 1983;AINSARI & MOR-RIS, 1985;DALY & RAEFSKY, 1985;MAHON et al, 1988). They yield remarkably consistent results.…”
Section: Ascentmentioning
confidence: 89%
“…We use a finite element numerical method to model the flow with a simple three layer viscosity structure for the upper mantle (Hughes et al, 1979;Daly and Raefsky, 1985). The numerical method is discussed in detail in the appendix.…”
Section: This Thesismentioning
confidence: 99%
“…These equations are solved using a velocity based finite element method (Daly and Raefsky, 1985). Although the incompressibility equation:…”
Section: The Numerical Model Of the Flowmentioning
confidence: 99%
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