Abstract
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).
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References
Barletta, A., Nield, D.A.: Linear instability of the horizontal throughflow in a plane porous layer saturated by a power-law fluid. Phys. Fluids (to appear)
Nield, D.A.: A note on the onset of convection in a layer of a porous medium saturated by a non-Newtonian fluid of power-law type. Transp. Porous. Med. doi:10.1007/s11242-010-9671-z (to appear)
Nield D.A., Bejan A.: Convection in Porous Media. 3rd edn. Springer, New York (2006)
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Nield, D.A. 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. Transp Porous Med 88, 187–191 (2011). https://doi.org/10.1007/s11242-011-9733-x
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DOI: https://doi.org/10.1007/s11242-011-9733-x