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Transport in Porous Media, Vol.88, No.2, 187-191, 2011
A Further Note on the Onset of Convection in a Layer of a Porous Medium Saturated by a Non-Newtonian Fluid of Power-Law Type
The singular behavior of the Horton-Rogers-Lapwood problem when a Newtonian fluid is replaced by a standard power-law fluid is investigated further. Using weakly nonlinear stability theory, an estimate is made of the amplitude of convection at which the convection is initiated (in the case of a fluid with index n > 1) or levels off (in the case of a fluid with n < 1).