Convection in a variable-viscosity fluid: Newtonian versus power-law rheology
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Cited by (79)
Asthenospheric rheology beneath mainland China inferred from mantle flow simulation and shear-wave splitting measurements
2021, TectonophysicsCitation Excerpt :Therefore, in order to explore the effects of E*, we determine the best-fit asthenospheric viscosity at E* = 200, 300, 400, 500, 600 kJ mol−1, respectively, using plate-density-driven flow models in which mantle density anomalies are derived from a combination of IVAN2011P with Rρ/V=0.15 and TX2011 with Rρ/V=0.2. Christensen (1983) showed for 2-D numerical experiments that the properties of non-Newtonian flow with n = 3 (approximately appropriate for dislocation creep) can be closely imitated by a Newtonian flow with activation enthalpy decreased by a factor 0.3 to 0.5. Therefore, our results related to E* = 120 or 200 kJ mol−1 and E* = 300 kJ mol−1 might be applicable to the cases of non-Newtonian flow at E* = 400 kJ mol−1 and E* = 600 kJ mol−1, respectively, as well.
Scaling of heat transfer in stagnant lid convection for the outer shell of icy moons: Influence of rheology
2020, IcarusCitation Excerpt :The effect of the Rayleigh number is found to be only modest and a satisfactory relationship is obtained when considering only grain size. Christensen (1983) and Dumoulin et al. (1999) showed that heat transfer in Newtonian and non-Newtonian cases are similar if the activation energy, and thus the rheological parameter, is adjusted according to a coefficient depending on the creep mechanism occurring in the layer. However, a direct comparison of our parameterization to their studies is made difficult by the fact that their numerical experiments use the Frank-Kamenetskii approximation.
Characterizing and modeling wear-recovery behaviors of acid-induced casein hydrogels
2019, WearCitation Excerpt :The recovery behaviors of casein hydrogels after wear testing were fit to both power law (Table 2) and exponential models (Table 3). In rheology, power law models are typically used for characterizing shear rate dependency of non-Newtonian fluids [40], whereas exponential models are used to characterize stress relaxation and creep behaviors [12,13,34,41]. Generally, the R2 values for the power law model were ~0.84 and the RMSE values were ~0.1 mm (Table 2).
Scaling laws of convection for cooling planets in a stagnant lid regime
2019, Physics of the Earth and Planetary InteriorsInterior structure of the Moon: Constraints from seismic tomography, gravity and topography
2015, Physics of the Earth and Planetary Interiors