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Parmentier et al. 1976
Parmentier, E.M., Turcotte, D.L. and Torrance, K.E. (1976). Studies of finite amplitude non-Newtonian thermal convection with application to convection in the earth’s mantle. Journal of Geophysical Research 81: doi: 10.1029/JB081i011p01839. issn: 0148-0227.

Studies of non-Newtonian thermal convection have been made to determine the importance of non-Newtonian viscosity on flow in the earth's mantle. Finite difference solutions have been obtained with a viscosity law representing the sum of deformation rates due to diffusion and dislocation creep. Non-Newtonian flow structures differ only slightly from corresponding Newtonian flows. The principal effect of the non-Newtonian viscosity is to increase the effective Rayleigh number. An effective Rayleigh number based on a strain rate squared averaged viscosity provides a good correlation between Newtonian and non-Newtonian flows over a wide range of Rayleigh numbers.

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Abstract

Journal
Journal of Geophysical Research
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American Geophysical Union
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