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Rayleigh–Bénard Convection with Stochastic Forcing Localised Near the Bottom
We prove stochastic stability of the three-dimensional Rayleigh–Bénard convection in the infinite Prandtl number regime for any pair of temperatures...
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Gravity-modulated Rayleigh–Bénard convection in a Newtonian liquid bounded by rigid–free boundaries: a comparative study with other boundary conditions
Effect of different boundaries on the gravity-modulated Rayleigh–Bénard convection has been investigated with an emphasis on rigid–free boundaries....
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Rayleigh–Bénard Convection in a Bi-viscous Bingham Fluid with Weak Vertical Harmonic Oscillations: Linear and Non-linear Analyses
Linear and weakly non-linear stability analyses of Rayleigh–Bénard convection in a bi-viscous Bingham fluid layer are performed in the presence of...
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Global Well-posedness for the 2D Micropolar Rayleigh-Bénard Convection Problem without Velocity Dissipation
In this article, we study the Cauchy problem to the micropolar Rayleigh-Bénard convection problem without velocity dissipation in two dimension. We...
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Stability of the viscoelastic Rayleigh–Bénard problem with an upper free boundary
Motivated by the stability result of the Rayleigh–Bénard problem in a fixed slab domain in Jiang and Liu (Nonlinearity 33:1677–1704, 2020) and the...
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A Route to Chaos in Rayleigh–Bénard Heat Convection
We use numerical methods to study the global bifurcation diagrams of the B´enard convection problem.
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Effects of Variable Viscosity and Internal Heat Generation on Rayleigh–Bénard Convection in Newtonian Dielectric Liquid
The onset of Rayleigh–Bénard convection of variable-viscosity Newtonian dielectric liquid confined between two parallel plates is subject to...
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Performance of parallel-in-time integration for Rayleigh Bénard convection
Rayleigh–Bénard convection (RBC) is a fundamental problem of fluid dynamics, with many applications to geophysical, astrophysical, and industrial...
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Domain Walls for the Bénard–Rayleigh Convection Problem with “Rigid–Free” Boundary Conditions
We prove the existence of domain walls for the Bénard–Rayleigh convection in the case of “rigid–free” boundary conditions. In the recent work...
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Non-linear Chandrasekhar-Bénard convection in temperature-dependent variable viscosity Boussinesq-Stokes suspension fluid with variable heat source/sink
The generalized Lorenz model for non-linear stability of Rayleigh-Bénard magneto-convection is derived in the present paper. The Boussinesq-Stokes...
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Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation
In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up...
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Effects of temperature- and pressure-dependent viscosity and internal heating on mantle convection
A mathematical model is considered for Rayleigh–Bénard convection of mantle where the viscosity depends strongly on both temperature and pressure...
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A Study of Rayleigh-Bénard-Taylor Convection in Very-Shallow, Shallow, Square and Tall Enclosures
The paper deals with an analytical-study of Rayleigh-Bénard-convection (RBC) within four types of enclosures in a non-inertial frame of...
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The effect of a magnetic field on the onset of Bénard convection in variable viscosity couple-stress fluids using classical Lorenz model
The Rayleigh-Bénard convection for a couple-stress fluid with a thermorheological effect in the presence of an applied magnetic field is studied...
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Effects of variable viscosity and temperature modulation on linear Rayleigh-Bénard convection in Newtonian dielectric liquid
The linear Rayleigh-Bénard electro-convective stability of the Newtonian dielectric liquid is determined theoretically subject to the temperature...
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Stability Analyses of Brinkman–Bénard Convection in Hybrid-Nanoliquid Saturated-Porous Medium Using Local Thermal Non-equilibrium Model
This paper carries out linear and weakly non-linear stability analyses of natural convection in a Newtonian hybrid-nanoliquid saturated porous...
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Effect of Time Periodic Boundary Temperature on Nonlinear Convection in Viscoelastic Dielectric Liquids
The paper is a study on the nonlinear analysis of convection in viscoelastic dielectric liquids in the presence of alternating current(AC) and...
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Study of Bénard-Marangoni Convection in a Microfluid with Coriolis Force
The convection of micro-structured fluid particles and the Coriolis force has been investigated in the problem. The eigenvalues are calculated for...