Abstract—In accordance with the energy conservation law, at convection, the total heat released through adiabatic flow and the dissipative heat mutually exactly compensate as these are the internal processes. However, the allowance for these processes, compared to the Boussinesq approximation for incompressible mantle, changes the temperature gradient, with the temperature itself changing by up to 500 K, and almost halves the mantle heat flow. In this work, the effects of dissipation and adiabatic compressibility of the material on the mantle temperature and heat flow distributions are analyzed and the role of internal heat sources is examined. The effects of dissipation and adiabatic compression can be interpreted as the effective heat sources nonuniformly distributed in space. Negative homogeneous heat sources always increase the heat flow from the core. However, in reality, adiabatic compressibility integrally equivalent to a negative heat source reduces the heat flow from the core just as dissipation.

中文翻译：

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压缩性、耗散和热源对地幔温度和热流分布的影响

摘要——根据能量守恒定律，在对流中，通过绝热流动释放的总热量和耗散热量相互精确补偿，因为这些是内部过程。然而，与不可压缩地幔的 Boussinesq 近似相比，这些过程的余量会改变温度梯度，温度本身变化高达 500 K，几乎使地幔热流减半。在这项工作中，分析了材料的耗散和绝热压缩性对地幔温度和热流分布的影响，并检查了内部热源的作用。耗散和绝热压缩的影响可以解释为有效热源在空间中非均匀分布。负均质热源总是增加来自核心的热​​流。然而，实际上，与负热源整体等效的绝热可压缩性减少了来自核心的热​​流，就像耗散一样。