Heat Transfer by Free Convection Between Two Parallel Flat Plates

Nakamura, Hiroshi; Asako, Yutaka; Naitou, Takashi

doi:10.1080/10407788208913437

Cited by 60 publications

(9 citation statements)

References 12 publications

(2 reference statements)

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“…Results presented in refs. [34,35] were significantly different, particularly at higher Grashof numbers. In these investigations the region downstream the channel remained untreated.…”

Section: Introductionmentioning

confidence: 91%

“…A more complete description of natural convective heat transfer between vertical parallel plates should analyze the transient behaviors of the full elliptic equations on an extended computational domain. In the following, a short review of the literature on transient laminar natural convection in vertical channels [17][18][19][34][35][36][37][38][39][40] is given.…”

Section: Introductionmentioning

confidence: 99%

“…A similar numerical simulation was proposed in ref. [35] main difference was that the wall boundary condition for the stream function was carried out by means of the pressure drop along the channel wall. Results presented in refs.…”

Section: Introductionmentioning

confidence: 99%

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Transient Natural Convection in Vertical Channels Symmetrically Heated at Uniform Heat Flux

Andreozzi

Buonomo²,

Manca³

2009

Numerical Heat Transfer, Part A: Applications

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A numerical transient analysis of natural convection in air between two vertical parallel plates, heated at uniform heat flux, is carried out. The problem is two-dimensional and laminar and the full Navier-Stokes and energy equations are employed. The control volume method is used to discretize the equations on a uniform grid. Results are given at different aspect ratio values and Rayleigh number values. The simulation allows detection of complex structures of the flow inside and outside the channel. Temperature profiles as a function of time show an overshoot and undershoot increase at the lowest aspect ratio and highest Rayleigh number. Inside the channel conductive and convective regimes as well as an inverse fluid motion are observed. Transient average Nusselt number presents oscillations before the steady-state.

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“…Results presented in refs. [34,35] were significantly different, particularly at higher Grashof numbers. In these investigations the region downstream the channel remained untreated.…”

Section: Introductionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transient Natural Convection in Vertical Channels Symmetrically Heated at Uniform Heat Flux

Andreozzi

Buonomo²,

Manca³

2009

Numerical Heat Transfer, Part A: Applications

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“…(3) and (4). The finite-difference equation for the pressure was derived by integrating the continuity equation over its control volume and the velocities replaced by equation (10) for U and a similar equation for V.…”

Section: Numerical Schemementioning

confidence: 99%

Transient Buoyancy-Induced Flow Through a Heated, Vertical Channel of Finite Height

Chang

Lin

1989

Numerical Heat Transfer, Part A: Applications

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A detailed numerical analysis is carried out to study the transient natural convection in a symmetrically heated vertical plate channel offinite height due to a step change in plate temperature. Both the inlet and exit effects are included in the analysis. I n particular, a numerical scheme derived from the SIMPLER algorithm is employed to solve the governing differential equations. Emphasis is placed on the temporal evoludon of theflaw and thermal characteristics. Results are obtained for air with Ru varying from 10' to lo6 and the aspect ratio from 5 to 10. The existence of multiple cells in the channel and in the region surrounding the tap end during the transient stage is predicted. Over a ceriain period, temperature overshoot is noted, causing a dip in the time variation of the Nusselt number. Correlation equations are proposed for the average Nusseh number and the amount of air drawn into the channel at the steady state.

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“…Transient buoyancy-induced flow through a vertical channel was numerically studied by solving the full Navier-Stokes equations with the per-entrance pressure drop considered by Nakamura et al [15] and Kettleborough [16] for Grashof numbers ranging from 10 2 to 10 4 . Experimental data on the natural convection flow of air between vertical parallel plates with uniform heat flux are nearly nonexistent.…”

Section: Introductionmentioning

confidence: 99%

Laminar natural convection between vertical isothermal heated plates with different temperatures

Терехов

Ekaid

2011

J. Engin. Thermophys.

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Numerical investigation of laminar free convection heat transfer in the vertical parallel plate channel with asymmetric heating is presented. Both inlet and exit effects are included into the analysis. A numerical solution is obtained for a Prandtl number of 0.71 and for modified Rayleigh number Ra = 10 −1 ÷ 10 5 , and varying heating ratio T R = 0 ÷ 1 and aspect ratio A = 10. Fully elliptic Navier-Stokes and energy equations are solved using the finite volume techniques with staggered grid arrangements. The obtained results show a strong influence of the temperature ratio on local and average heat transfer coefficient on the hot and cold plates. With reduction of T R the heat transfer parameter on the hot wall grows, and on the cold one, on the contrary, it decreases. As a result, the total heat exchange from two plates depends poorly on the parameter T R .

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Heat Transfer by Free Convection Between Two Parallel Flat Plates

Cited by 60 publications

References 12 publications

Transient Natural Convection in Vertical Channels Symmetrically Heated at Uniform Heat Flux

Transient Natural Convection in Vertical Channels Symmetrically Heated at Uniform Heat Flux

Transient Buoyancy-Induced Flow Through a Heated, Vertical Channel of Finite Height

Laminar natural convection between vertical isothermal heated plates with different temperatures

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