Experimental and numerical study of turbulent natural convection in an open cubic cavity

Abstract

k Turbulent kinetic energy (J/kg) L Cavity wall length (m) Nu Local convective Nusselt number nondimensional Nu Total average Nusselt number nondimensional P k Generation of turbulent kinetic energy (J/kg) q″ Heat flux (W/m 2 ) Ra Rayleigh number = gβq″L 4 /ανλ, nondimensional T h Average temperature of the hot wall (K) T ∞ Ambient temperature (K) V Voltage (V) X, Y, Z Coordinate system (m) Greek symbols α Thermal diffusivity (m 2 /s) β Thermal expansion coefficient (1/K) ε t Turbulent kinetic energy dissipation (J/kg) λ Thermal conductivity (W/m K) µ t Turbulent viscosity (kg/m s) ν Kinematic viscosity (m 2 /s) ρ Density (kg/m 3 ) σ t Turbulent Prandtl number nondimensional

Experimental study of convective heat transfer in a ventilated rectangular cavity

“…The authors proposed a correlation for the mean convective Nusselt number as a function of the Grashof number that can be used for code validation purposes. Maytorena et al (2015) performed an experimental and numerical study of an open cubic cavity to study the air natural convection. The vertical wall at the front of the opening received a uniform heat flux with four different values between 55 and 333 W/m 2 , whereas the other four walls were insulated.…”

Difficulties of Computing Natural Convection Flow in an Open Cavity

“…To observe the flow characteristics inside the cavity, k ε − turbulence model is used. Turbulent natural convection flow in a cubic cavity is analyzed both numerically and experimentally by V. M. Maytorena et al [20]. Numerical simulations have been carried out for natural convection flow in a square cavity by G. Barakos et al [20].…”

“…Turbulent natural convection flow in a cubic cavity is analyzed both numerically and experimentally by V. M. Maytorena et al [20]. Numerical simulations have been carried out for natural convection flow in a square cavity by G. Barakos et al [20]. The control volume method is used for a series of Rayleigh numbers reaching values up to 10 10 , to solve the conservation equations for both the laminar and turbulent flows.…”

“…In this section, a comparative discussion with Maytorena's [20] and Barakos's work [21] is presented.…”

“…The study of turbulent natural convection on a cubic cavity with dimension 1m × 1m × 1m is performed here and the result is compared with the numerical and experimental results reported by V. M. Maytorena et al [20] for Raleigh number 1.66 × 10…”