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Triple-Diffusive Natural Convection in a Square Porous Cavity
Transport in Porous Media, 2015The triple-diffusive flow, heat and mass transfer in a cavity filled with a porous medium and saturated with a mixture is theoretically studied in a cavity with differential temperature and concentrations at the side walls. The effect of buoyancy forces due to mass transfer of phases is also taken into account using the Boussinesq approximation.
Ghalambaz, Mehdi +3 more
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Global Modes and Control in a Square Cavity
5th AIAA Theoretical Fluid Mechanics Conference, 2008The global stability of flow over a square cavity is investigated using numerical simulations combined with iterative Krylov subspace schemes. Balanced modes are computed using the balanced POD method and a reduced-order system is determined. This reduced system then forms the basis for the design of control strategies to suppress the vortical ...
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Vibrational effects on convection in a square cavity at zero gravity
Journal of Fluid Mechanics, 2001In this numerical study, we investigate natural convection in a two-dimensional square-section enclosure vibrating sinusoidally parallel to the applied temperature gradient in a zero-gravity field. The full Navier–Stokes equations are simplified with the Boussinesq approximation and solved by a finite difference method.
Hirata, Katsuya +2 more
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Transition to a periodic regime in mixed convection in a square cavity
Journal of Fluid Mechanics, 1992The numerical study presented in this work describes the transition from a steady, laminar regime to a periodic regime in an air-filled, two-dimensional cavity subjected to localized heating. The cavity lies at the bottom of a horizontal channel through which a cold air stream flows.
E. Papanicolaou, Y. Jaluria
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Natural convection in square cavity with heat generating baffles
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Saravanan, A. R. Vidhya Kumar
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High Marangoni number convection in a square cavity: Part II
Physics of Fluids A: Fluid Dynamics, 1990Steady thermocapillary flow is examined in a square two-dimensional cavity with a single free surface and differentially heated side walls. The numerical solutions are obtained with a finite difference method applied to a streamfunction-temperature formulation.
Carpenter, Bradley M., Homsy, G. M.
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Oscillatory flow inside a square cavity
Journal of Fluid Mechanics, 1982The flow inside a square cavity, generated by a uniform oscillatory motion of the upper cavity wall, is investigated. Numerical solutions of the full unsteady Navier–Stokes equations are computed for a selection of Reynolds’ numbers and frequency parameters in the range 0–600.
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High Marangoni number convection in a square cavity
The Physics of Fluids, 1985The steady thermocapillary motion in a square cavity with a top free surface in the absence of gravitational forces is considered. The cavity is heated from the side with the vertical boundaries isothermal while the horizontal boundaries are adiabatic. The relative change in the surface tension is very small, i.e., an appropriate capillary number tends
Zebib, A., Homsy, G. M., Meiburg, E.
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Second Sound in Square and Cubical Cavities
Physical Review, 1964The response of closed square and cubical cavities to linear standing waves of second sound in helium ii has been studied. In a square cavity, when the number of half-wavelengths $n$ along one side is even, a linear wave in the $x$ direction couples loosely with the $y$ direction, producing standing waves in both directions at two resonant frequencies,
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Buoyant Marangoni convection of nanofluids in square cavity
Applied Mathematics and Mechanics, 2015The buoyant Marangoni convection heat transfer in a differentially heated cavity is numerically studied. The cavity is filled with water-Ag, water-Cu, water-Al2O3, and water-TiO2 nanofluids. The governing equations are based on the equations involving the stream function, vorticity, and temperature.
H. Saleh, I. Hashim
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