Convection of a fluid with strongly temperature and pressure dependent viscosity

Fowler, A. C.; Howell, Peter; Khaleque, Tania S.

doi:10.1080/03091929.2016.1146264

Cited by 6 publications

(3 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Previous studies have shown that convection is active in the top part of the convecting system (e.g., Christensen, 1984;Fleitout and Yuen, 1984;Christensen, 1985;Stemmer et al, 2006). At high viscosity contrasts the convective system divides to smaller sub-cells (Khaleque et al, 2015;Fowler et al, 2016), which can be interpreted as a reduction in the effective convective depth as we assume in this paper. Thus, it is important to consider pressure-dependent viscosity in the future studies of lithospheric failure.…”

Section: Discussionmentioning

confidence: 95%

Constraints on plate tectonics initiation from scaling laws for single-cell convection

Wong

Solomatov

2016

Physics of the Earth and Planetary Interiors

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 95%

Constraints on plate tectonics initiation from scaling laws for single-cell convection

Wong

Solomatov

2016

Physics of the Earth and Planetary Interiors

View full text Add to dashboard Cite

“…In an infinite horizontal layer, the convective cell is defined as part of a periodic structure. Applying Cartesian coordinates (x, z), the Boussinesq approximation is inferred, implying that density variation may be ignored in the buoyancy term, and therefore equation of continuity takes the form of the incompressibility requirement [21]. The mechanical work produced by thermal convection typically balances the viscous dissipation in the mantle layer, and if the viscosity change is significant enough, the dissipation in the cold boundary layer can be compared to that in the interior region.…”

Section: Governing Equationmentioning

confidence: 99%

Convection in the Earth-like Mantle with the Influence of Strong Viscosity Variation

Goni,

Khanom,

Khaleque

2023

JAMC

View full text Add to dashboard Cite

A unit aspect-ratio Rayleigh-Bénard convection model that represents the Earth's mantle is considered to strongly variable viscosity, internal heating, and viscous dissipation. Investigation of the convection pattern at high Rayleigh number with mixed convection, substantial viscosity change across the mantle depth, and viscous dissipation is the primary goal of this study. The model is solved with temperaturedependent, and temperature-and pressure-dependent Arrhenius full form of viscosity function using finite element method. The numerical values of heat transfer rate, i.e. Nusselt number and root mean square velocity are tabulated. The results of the simulation are shown in the temperature distribution and streamline contour figures. The tables and figures reveal that narrower convective cells are preferred for convection when internal heating and dissipation are strong enough. It is also found that the inclusion of internal heating and increase of viscous pressure number make the convection stronger whereas viscous dissipation weakens the vigor of convection.

show abstract

“…Both studies find the Nusselt number to be N u ∼ (∆T /∆T r ) −1 Ra 1/5 r , where Ra r = αg∆T r d 3 /ν 0 κ is the Rayleigh number based on the rheological temperature scale ∆T r and the viscosity ν 0 at the hot bottom boundary. Fowler et al (2016) extended the asymptotic analysis of Fowler (1985a) to the case of strongly temperature-and pressure-dependent viscosity. Solomatov (1995) presented a scaling analysis for convection in fluids with temperature-and stress-dependent viscosity, using arguments based on the balance between dissipation and the rate of mechanical work.…”

Section: Convection With Temperature-dependent Viscositymentioning

confidence: 99%

Theoretical Mantle Dynamics

Ribe

2018

View full text Add to dashboard Cite

Geodynamics is the study of the deformation and flow of the solid Earth and other planetary interiors. Focusing on the Earth's mantle, this book provides a comprehensive, mathematically advanced treatment of the continuum mechanics of mantle processes and the craft of formulating geodynamical models to approximate them. Topics covered include slow viscous flow, elasticity and viscoelasticity, boundary-layer theory, long-wave theories including lubrication theory and shell theory, two-phase flow, and hydrodynamic stability and thermal convection. A unifying theme is the utility of powerful general methods (dimensional analysis, scaling analysis, and asymptotic analysis) that can be applied in many specific contexts. Featuring abundant exercises with worked solutions for graduate students and researchers, this book will make a useful resource for Earth scientists and applied mathematicians with an interest in mantle dynamics and geodynamics more broadly.

show abstract

Convection of a fluid with strongly temperature and pressure dependent viscosity

Cited by 6 publications

References 46 publications

Constraints on plate tectonics initiation from scaling laws for single-cell convection

Constraints on plate tectonics initiation from scaling laws for single-cell convection

Convection in the Earth-like Mantle with the Influence of Strong Viscosity Variation

Theoretical Mantle Dynamics

Contact Info

Product

Resources

About