Numerical simulation of 3-D Bénard convection with gravitational modulation

Biringen, S.; Peltier, L. J.

doi:10.1063/1.857729

Cited by 76 publications

(32 citation statements)

References 20 publications

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“…They found that the system is stabilized for small amplitude vertical oscillations. These results were later confirmed by Biringen and Peltier [3] who made a more general nonlinear three dimensional analysis. Aniss et al [4] studied the influence of time dependent gravity on the instability threshold for a fluid layer confined in a Hele-Shaw geometry.…”

Section: Introductionsupporting

confidence: 73%

Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above

Sivakumar

Saravanan

2012

MATEC Web of Conferences

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Abstract.A linear stability analysis is used to investigate the influence of mechanical vibration on the onset of thermosolutal convection in a horizontal porous layer heated and salted from above. Vibrations are considered with arbitrary amplitude and frequency. The Brinkman extended Darcy model is used to describe the flow and the Oberbeck-Boussinesq approximation is employed. Continued fraction method and Floquet theory are used to determine the convective instability threshold. It is found that the solutal Rayleigh number has the stabilizing effect. The existence of a closed disconnected loop of synchronous mode is predicted in the marginal curve for moderate values of solutal Rayleigh number and vibration amplitude.

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Section: Introductionsupporting

confidence: 73%

Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above

Sivakumar

Saravanan

2012

MATEC Web of Conferences

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“…Full Navier-Stokes simulations of the BÃ enard problem for a one-component uid in a ÿnite box carried out by Birigen and Peltier (1990) agree with the stability calculations of Gresho and Sani (1970). The e ect of vibration on the onset of convection in a horizontally unbounded two-component uid has also been studied.…”

Section: Introductionmentioning

confidence: 78%

Natural doubly diffusive convection with vibration

et al. 2001

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We present a numerical and analytical study of doubly di usive convection driven by horizontal thermal and solutal gradients in square and rectangular enclosures with no-slip walls subjected to high-frequency vibration. The two vertical walls of the enclosure are maintained at di erent but uniform temperatures and concentrations while the horizontal walls are assumed to be impermeable and insulating. The resulting system is described by time-averaged Boussinesq equations. These equations possess a doubly di usive quasi-equilibrium solution provided the thermal and solutal buoyancy forces are equal and opposite. This solution is linearly stable up to a critical value of the stability parameter independently of the strength and orientation of the vibration. The solutions in the neighborhood of the bifurcation point are described analytically as a function of the strength and orientation of the vibration, and the larger amplitude states are computed numerically using a spectral collocation method. For vertical oscillation increasing the vibration amplitude decreases the subcriticality of the solutions and may even reverse it; the opposite occurs with horizontal vibration.

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“…Such studies are concerning two-dimensional thermal convection. Concerning three-dimensional thermal convection, Biringen & Peltier (12) studied randomly-or sinusoidally-modulated gravitational fields. Their results suggest possibilities of the enhancement or the control of mass and heat transfers/diffusions and material mixings.…”

Section: Introductionmentioning

confidence: 99%

Thermal Convection in an Oscillating Cube at Various Frequencies and Amplitudes

Hirata

Fujita

Okaji

et al. 2013

JTST

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In this study, the authors numerically investigate the frequency response on the three-dimensional thermal convection in a cubic cavity heated below in the gravitational field, concerning flow characteristics such as flow structure and a global quantity the spatially-averaged kinetic energy . The authors assume incompressible fluid with a Prandtl number Pr = 7.1 (water) and with a Rayleigh number Ra = 1.0×10 4 or 4. can observe the optimum frequency where the amplitude of attains the maximum, each η. And, for both Ra's, becomes the minimum at η = 1.5 -2.0. Especially for Ra = 4.0×10 4 , is affected by the initial conditions. For both Ra's, the maximum of the amplitude uniquely exists at each η, when η < 1.5. On the other hand, we can observe not single but plural peak frequencies with locally-maximum 's each η, when η ≥ 1.5. It is confirmed that such plural frequencies are related with the appearances of various flow structures such as S1, S2, S4, S5, S6 and S8. Especially for Ra = 4.0×10 4 , this relation is also affected by the initial conditions. In addition, the details of a new flow structure S8 is reported.

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Numerical simulation of 3-D Bénard convection with gravitational modulation

Cited by 76 publications

References 20 publications

Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above

Onset of Vibrational Convection in a Binary Fluid Saturated Non-Darcy Porous Layer Heated from Above

Natural doubly diffusive convection with vibration

Thermal Convection in an Oscillating Cube at Various Frequencies and Amplitudes

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