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Influence of lattice thermal conductivity on thermal convection with strongly temperature-dependent viscosity

机译：晶格热导率对具有强烈温度依赖性粘度的热对流的影响

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摘要

To examine the effects of temperature-dependent lattice thermal conductivity (lattice-k) on the thermal convection with a temperature-dependent viscous fluid, particularly on the upper thermal boundary layer, we have studied numerically 2-D thermal convective flows with both constant thermal conductivity (constant-k) and lattice-k models. Numerical experiments with large viscosity contrasts, greater than a million, produce a cooler and thinner upper thermal boundary layer for the lattice-k compared with those for the constant-k, implying that thermal convection with lattice-k produces a much sharper boundary between the lithosphere and asthenosphere. The differences between the constant-k and lattice-k can be reasonably explained by the following two causes: (i) the decreasing lattice-k with depth increases an effective Rayleigh number around the bottom of the thermal boundary layer, and (ii) the distribution of lattice-k and uniform vertical heat flux within the thermal boundary layer determine the temperature distribution. The predicted sharper boundary, i.e. sharper vertical viscosity gradient near the bottom of the lithosphere, may play an important role on controlling the amount of lithospheric deformation associated with the downwelling.
机译：为了检查与温度相关的粘性流体对温度依赖的晶格热导率（lattice-k）的热对流的影响，特别是对上部热边界层的影响，我们对具有恒定热能的二维热对流进行了数值研究电导率（常数k）和晶格k模型。与常数k相比，具有较大粘度差（大于一百万）的数值实验为晶格k产生了更冷，更薄的上部热边界层，这意味着与晶格k的热对流在晶界k之间产生了更清晰的边界。岩石圈和软流圈。常数k和晶格k之间的差异可以由以下两个原因合理地解释：（i）随着深度的减小，晶格k减小会增加热边界层底部周围的有效瑞利数，并且（ii）晶格k的分布和热边界层内均匀的垂直热通量决定了温度分布。所预测的更尖锐的边界，即岩石圈底部附近的垂直粘度梯度更陡峭，可能在控制与下沉相关的岩石圈变形量中起重要作用。

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