Abstract

The aim of the present paper will be to formulate explicitly the linearized equations safeguarding the conservation of mass, energy, and momentum of viscous flow inside a heterogeneous, compressible fluid sphere, in which the coefficient of viscosity is an arbitrary function of central distance. An application of such equations to the problem of convection in lunar or planetary interiors is considered; and it is pointed out that the changes in density accompanying convective flow are caused mainly by isothermal compression of the respective rocks rather than by their thermal expansion.

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