粘性率に異方性があるとどうなるか

抄録

The viscous relaxation spectra and the marginal stability curves of Rayleigh-Bénard convection in a transversely isotropic fluid were computed. An incompressible, transversely isotropic fluid is expressed in terms of two material constants, L and δ. L is the viscosity pertinent to the shear in the horizontal plane and δ is the anisotrpy factor. δ is likely to be very large in the mantle if thin less viscous (molten) layers are aligned in the horizontal plane. At large δ the relaxation spectra become nearly constant over a wide range of wavenumber and its magnitude is determined essentially by the product L·δ. The flattness is consistent to the observed relaxation spectra. A similar effect is found in the Rayleigh-Bénard convection; the marginal stability curve flattens out to small wavenumber at large δ. This implies a possibility of thin convection cells in the earth's mantle.