RT Journal Article ID 4f09432160272942 A1 Kuznetsov, Andrey V. A1 Nield, D. A. T1 THE EFFECT OF LOCAL THERMALNONEQUILIBRIUM ON THE ONSET OF CONVECTION IN A POROUS MEDIUM LAYER SATURATED BY A NANOFLUID: BRINKMAN MODEL JF Journal of Porous Media JO JPM YR 2011 FD 2011-04-16 VO 14 IS 4 SP 285 OP 293 K1 local thermal nonequilibrium K1 LTNE K1 nanofluid K1 porous medium K1 instability K1 natural convection AB The onset of convection in a horizontal layer of a porous medium saturated by a nanofluid is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. For the porous medium the Brinkman model is employed. Three cases of free-free, rigid-rigid, and rigid-free boundaries are considered. The effect of local thermal nonequilibrium between the particle, fluid, and solid-matrix phases is investigated using a three-temperature model. The analysis reveals that in some circumstances the effect of local thermal nonequilibrium (LTNE) can be significant, but for a typical dilute nanofluid (with large Lewis number and with small particle-to-fluid heat capacity ratio) the effect is small. PB Begell House LK https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,689e47525d6124d4,4f09432160272942.html