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A Nonlinear Model for Double-Diffusive Convection
SIAM Journal on Applied Mathematics, 1975We consider a simple fluid-loop model describing convection in a two-constituent fluid. The model permits explicit construction of linear stability and global stability boundaries in parameter space. A rigorous proof of global stability within the appropriate region is provided.
Siegmann, William L. +1 more
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1992
In this chapter we turn our attention to processes of combined (simultaneous) heat and mass transfer that are driven by buoyancy. The density gradients that provide the driving buoyancy force are induced by the combined effects of temperature and species concentration nonuniformities present in the fluid saturated medium.
Donald A. Nield, Adrian Bejan
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In this chapter we turn our attention to processes of combined (simultaneous) heat and mass transfer that are driven by buoyancy. The density gradients that provide the driving buoyancy force are induced by the combined effects of temperature and species concentration nonuniformities present in the fluid saturated medium.
Donald A. Nield, Adrian Bejan
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The Butterfly Singularity in Double-Diffusive Convection
Journal of Non-Equilibrium Thermodynamics, 1987The two-dimensional, two-component Bénard problem in a finite box is analyzed. A Lyapunov-Schmidt reduction for the stationary solutions of the Boussinesq equations to an amplitude equation is performed up to fifth order and the existence and non-degeneracy conditions for a butterfly singularity in the sense of imperfect bifurcation theory are ...
Armbruster, D., Neveling, M.
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Oscillations in double-diffusive convection
Journal of Fluid Mechanics, 1981We have studied the transition between oscillatory and steady convection in a simplified model of two-dimensional thermosolutal convection. This model is exact to second order in the amplitude of the motion and is qualitatively accurate for larger amplitudes.
Da Costa, L. N. +2 more
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DOUBLE-DIFFUSIVE CONVECTION IN A SHALLOW POROUS LAYER
Proceeding of International Heat Transfer Conference 10, 1994unclassified
Mamou, M. +3 more
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Symmetry in double-diffusive convection
Canadian Journal of Chemistry, 1999A theoretical treatment of the double-diffusive convection instability is presented, with a focus on the isothermal case of two solutes in a common solvent, initially forming a distinct interface. Linear stability analysis is used to determine the wave number of the marginal mode and symmetry properties of the corresponding fluid flow for realistic ...
Brian Pettitt, Werner Danchura
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Nonlinear double-diffusive convection
Journal of Fluid Mechanics, 1976The two-dimensional motion of a fluid confined between two long horizontal planes, heated and salted from below, is examined. By a combination of perturbation analysis and direct numerical solution of the governing equations, the possible forms of large-amplitude motion are traced out as a function of the four non-dimensional parameters which specify ...
Huppert, Herbert E., Moore, Daniel R.
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Double-diffusive convection with sidewalls
The Physics of Fluids, 1985The effect of rigid vertical boundaries on the onset of convective instability is calculated for the salt finger regime of double-diffusive convection. The unperturbed state is a quiescent fluid with constant vertical gradients of temperature and solute, which are stabilizing and destabilizing, respectively.
G. B. McFadden +2 more
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Double-diffusive Marangoni convection in a rectangular cavity: Onset of convection
Physics of Fluids, 2010Double-diffusive Marangoni convection in a rectangular cavity with horizontal temperature and concentration gradients is considered. Attention is restricted to the case where the opposing thermal and solutal Marangoni effects are of equal magnitude (solutal to thermal Marangoni number ratio Rσ=−1). In this case a no-flow equilibrium solution exists and
Chen, ZW, Li, YS, Zhan, JM
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Intrusions and double-diffusive convection
Nature, 1976A STRATIFIED fluid layer in which two components contribute to the vertical density distribution need not be stable even though the net density decreases upwards. If one of the components is unstably distributed, then molecular diffusion can release its potential energy—a phenomenon known as double-diffusion convection1.
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