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Rayleigh Number

Critical Rayleigh number of an error function temperature profile with a quasi-static assumption

Critical Rayleigh number of an error function temperature profile with a quasi-static assumption

... wall. Intuition may be sought by looking at the region of greatest temperature gradients driving the instability, and making a comparison with results from the case of a layer between boundaries with comparable width and ...

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Influence of the Ringwoodite-Perovskite transition on mantle convection in spherical geometry as a function of Clapeyron slope and Rayleigh number

Influence of the Ringwoodite-Perovskite transition on mantle convection in spherical geometry as a function of Clapeyron slope and Rayleigh number

... κ ≈ 10 −6 m 2 s −1 , α ≈ 2 × 10 −5 K −1 , super-adiabatic temper- ature drop of ≈ 2550 K (Steinberger and Calderwood, 2006). Earlier in Earth history, a hotter mantle is to be expected due to the dissipation of ...

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Structure and stability of steady porous medium convection at large Rayleigh number

Structure and stability of steady porous medium convection at large Rayleigh number

... ate Rayleigh number has been discussed in detail in many previous studies (Elder 1967; Palm et ...high-Rayleigh- number steady solutions, however, has been rather limited, in part because ...

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On moderate-Rayleigh-number convection in an inclined porous layer

On moderate-Rayleigh-number convection in an inclined porous layer

... Figure 1. Dimensionless geometry and background/basic state for 2D convection in an inclined Rayleigh–Darcy domain. x and z are the wall-parallel and wall-normal coordinates, respectively, and g is the ...

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Investigation of Brownian Motion of CuO-Water Nanofluid in a Porous Cavity with Internal Heat Generation by Using of LTNE Model

Investigation of Brownian Motion of CuO-Water Nanofluid in a Porous Cavity with Internal Heat Generation by Using of LTNE Model

... thickness of the heat-conducting solid walls. Free convection in a three-dimensional porous cavity with two isothermal vertical surfaces and adiabatic rest walls filled with nanofluid has been studied numerically by ...

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Rayleigh Benard Instability in a Horizontal Porous Layer Affected by Rotation

Rayleigh Benard Instability in a Horizontal Porous Layer Affected by Rotation

... critical Rayleigh number, R, is less than that of the porous medium case pro- vided T a is less than a certain value and when T a exceeds that value then the critical Rayleigh number in the ...

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Stability Control in a Binary Fluid Mixture Subjected to Cross Diffusive Coefficients

Stability Control in a Binary Fluid Mixture Subjected to Cross Diffusive Coefficients

... In the present paper, it has been demonstrated that the onset of double-diffusive convection in a horizontal binary fluid layer can be controlled. The problem has been investigated analytically using linear stability ...

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Vol 3, No 5 (2012)

Vol 3, No 5 (2012)

... solute Rayleigh number while this trend reverses for large solute Rayleigh ...Lewis number Le on the finite amplitude motions is shown in ...solute Rayleigh number the Lewis ...

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Effect of Rotation and Suspended Particles on Micropolar Fluid Heated and Soluted from Below Saturating Porous Medium

Effect of Rotation and Suspended Particles on Micropolar Fluid Heated and Soluted from Below Saturating Porous Medium

... the Rayleigh number for the stationary convection and for the case of overstability decreases with the increase in micropolar coefficient   implying thereby the destabilizing effect of coefficient of ...

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Thermal instability in a non-Darcy porous medium saturated with a nanofluid and with a convective boundary condition

Thermal instability in a non-Darcy porous medium saturated with a nanofluid and with a convective boundary condition

... Biot number, magnetic parameter, Peclet number and Vadasz num- ber on the oscillatory Rayleigh number is shown in Figure ...oscillatory Rayleigh number increases with the ...

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Vol 3, No 8 (2012)

Vol 3, No 8 (2012)

... A major part of the investigations on convection in porous media dealt with isotropic materials. However, in many practical situations, the porous materials are anisotropic in their mechanical and thermal properties. Due ...

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Effects of Chemical Reaction and Pressure Work
 on Free Convection over a Stretching Cone
 Embedded in a Porous Medium

Effects of Chemical Reaction and Pressure Work on Free Convection over a Stretching Cone Embedded in a Porous Medium

... Nusselt number increased as either of the pressure work parameter, Prandtl number, thermal stratification parameter, Rayleigh number or the buoyancy ratio parameter increased while it decreased ...

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Numerical Analysis of Natural Convection of Nano Fluids on Square Enclosures

Numerical Analysis of Natural Convection of Nano Fluids on Square Enclosures

... Nusselt number of the base fluid by the present numerical simulation and with Prediction of Heat Transfer Coefficient, Nu, as function of Rayleigh number in Rayleigh-Bénard natural convection ...

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CONVECTIVE HEAT TRANSFER ANALYSIS IN AN ARCH ENCLOSURE

CONVECTIVE HEAT TRANSFER ANALYSIS IN AN ARCH ENCLOSURE

... Nusselt number compared to enclosures having low aspect ...Nusselt number are slightly lower than those obtained with the square ...Nusselt number and the dimensionless mean kinetic energy of the ...

6

Buoyancy driven heat transfer of a nanofluid in a differentially heated square cavity under effect of an adiabatic square baffle

Buoyancy driven heat transfer of a nanofluid in a differentially heated square cavity under effect of an adiabatic square baffle

... this Rayleigh number the streamlines related to the pure fluid are more packed next to the side walls compared to those of the ...The number of streamlines under the baffle for the pure fluid is more ...

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Numerical study of fins arrangement and nanofluids effects on three-dimensional natural convection in the cubical enclosure

Numerical study of fins arrangement and nanofluids effects on three-dimensional natural convection in the cubical enclosure

... Nusselt number decreases in cubical cavity. The Nusselt Number versus in terms of Rayleigh number are depicted in Figure 10b for different nanofluids ( , ) and volume fractions ( , ...

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Maximum Heat Transfer Density From Finned Tubes Cooled By Natural Convection

Maximum Heat Transfer Density From Finned Tubes Cooled By Natural Convection

... Abstract—The optimal spacing between finned tubes cooled by free convection is studied numerically. A row of isothermal finned tubes are installed in a fixed volume and the spacing between them is selected according to ...

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MODELING OF FREE CONVECTION HEAT TRANSFER UTILIZING NANOFLUID INSIDE A WAVY ENCLOSURE WITH A PAIR OF HOT AND COLD CYLINDERS

MODELING OF FREE CONVECTION HEAT TRANSFER UTILIZING NANOFLUID INSIDE A WAVY ENCLOSURE WITH A PAIR OF HOT AND COLD CYLINDERS

... and Rayleigh number devalues mean non-dimensional ...increasing Rayleigh number, the curves become almost straight at the ...different Rayleigh number and volume ...all ...

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Numerical Study of Natural Convection in an Inclined Cavity with Partially Active Side Walls Filled with Cu-water Nanofluid

Numerical Study of Natural Convection in an Inclined Cavity with Partially Active Side Walls Filled with Cu-water Nanofluid

... resulted in a considerable augmentation of the heat transfer coefficient in the considered geometrical configurations. Jou and Tzeng [9] conducted a numerical study on the natural convection heat transfer in rectangular ...

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Vol 8, No 6 (2017)

Vol 8, No 6 (2017)

... oscillatory Rayleigh number are obtained analytically along with expression for frequency of ...oscillatory Rayleigh number with strain retardation parameter λ 2 for different parameters is ...

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