Local and average natural convection Nusselt numbers for a uniformly heated, shrouded or unshrouded horizontal plate

Sparrow, E. M.; Carlson, Casey

doi:10.1016/0017-9310(86)90207-3

Cited by 35 publications

(6 citation statements)

References 8 publications

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“…The correlations of Bandrowski & Rybski (1976) and Goldstein et al (1973) are extrapolated from experiments at Ra L 2.5 × 10 5 and Ra L 10 4 respectively. Summarizing the main findings of other studies (Hassan & Mohamed 1970;Fujii & Imura 1972;Yousef et al 1982;Sparrow & Carlson 1986) we can say that the averaged Nusselt number corresponding to our Rayleigh number should be between 20 and 30 (see also Martorell et al 2003). This is what we have found as demonstrated in figure 21(a) where we plot the local Nusselt number on the plate surface versus the dimensionless x * = x/L for the snapshot shown in figure 20.…”

Section: Natural Convective Flow Over An Isothermal Horizontal Platesupporting

confidence: 82%

“…We consider the heat transfer and natural convective two-dimensional flow over an isothermal upward-facing plate. Natural convective flows induced over horizontal and inclined heated plates have been the subject of numerous investigations (Goldstein & Kei-Shun 1983;Fujii & Imura 1972;Kitamura & Kimura 1995;Chambers & Lee 1997;Yousef, Tarasuk & McKenn 1982;Sparrow & Carlson 1986;Al-Arabi & El-Riedy 1976;Hassan & Mohamed 1970) in recent decades. We have performed a 10 -6 10 -5 10 -4 σ/u σ δλ k 13 11 12 10 -11 10 -12 10 -10 10 -9 10 -8 Figure 16.…”

Section: Natural Convective Flow Over An Isothermal Horizontal Platementioning

confidence: 99%

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On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate

Venturi

2006

J. Fluid Mech.

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The connections between the random elements of a discrete random flow field and the uncertainty in the hierarchical set of its spatio-temporal scales, obtained by the symmetric version of the proper orthogonal decomposition (POD) method, are investigated. It is shown that the relevant statistics for the energy levels, the temporal modes and the spatial modes can be expressed in an explicit form as power series of the flow field standard deviation. Such expansions characterize accurately interesting phenomena of mixing between different flow scales. The basis of the present work is the assumption that the randomness is characterized by a Gaussian uncorrelated random field. Two applications of the theory developed are proposed: to the incompressible flow past a cylinder at Reynolds number $\mbox{\textit{Re}}\,{=}\,100$ and to the natural convective flow over an isothermal horizontal plate at Rayleigh number $\mbox{\textit{Ra}}\,{=}\,4.75\,{\times}\,10^6$. The theoretical predictions are confirmed well by Monte Carlo simulations and interesting relations between the random flows and the relevant statistics of their POD spatio-temporal scales are determined and discussed.

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Section: Natural Convective Flow Over An Isothermal Horizontal Platesupporting

confidence: 82%

Section: Natural Convective Flow Over An Isothermal Horizontal Platementioning

confidence: 99%

On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate

Venturi

2006

J. Fluid Mech.

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“…The resulting flow-field draws cooler liquid down toward the surface from above the epoxy divisions, while warmer fluid rises from above the hot copper. At these early stages the counter-rotating flows will produce a stagnation point in the center of the copper, resulting in a local minimum in convective heat transfer coefficient and therefore a local maximum in surface temperature 28 . As the wall superheat is increased this local maximum temperature promotes bubble nucleation along the center of the copper regions.…”

Section: Resultsmentioning

confidence: 99%

Increasing Boiling Heat Transfer using Low Conductivity Materials

Rahman

Pollack

McCarthy

2015

Sci Rep

144

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We report the counterintuitive mechanism of increasing boiling heat transfer by incorporating low-conductivity materials at the interface between the surface and fluid. By embedding an array of non-conductive lines into a high-conductivity substrate, in-plane variations in the local surface temperature are created. During boiling the surface temperature varies spatially across the substrate, alternating between high and low values, and promotes the organization of distinct liquid and vapor flows. By systematically tuning the peak-to-peak wavelength of this spatial temperature variation, a resonance-like effect is seen at a value equal to the capillary length of the fluid. Replacing ~18% of the surface with a non-conductive epoxy results in a greater than 5x increase in heat transfer rate at a given superheat temperature. This drastic and counterintuitive increase is shown to be due to optimized bubble dynamics, where ordered pathways allow for efficient removal of vapor and the return of replenishing liquid. The use of engineered thermal gradients represents a potentially disruptive approach to create high-efficiency and high-heat-flux boiling surfaces which are naturally insensitive to fouling and degradation as compared to other approaches.

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“…Heat Transfer-Asian Research, 29 (4), 2000 Sparrow and Carlson [2] have measured the local and overall heat transfer coefficients from a heated, bottom plate to air. The test plate was heated with a uniform heat flux, while the cover plate was insulated thermally.…”

confidence: 99%

Fluid Flow and Heat Transfer of Natural Convection over Upward-Facing Horizontal, Heated Plate Shrouded by Parallel, Insulated Plate.

健三¹,

智幸²

1997

Trans.JSME, Ser.B

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Local and average natural convection Nusselt numbers for a uniformly heated, shrouded or unshrouded horizontal plate

Cited by 35 publications

References 8 publications

On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate

On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate

Increasing Boiling Heat Transfer using Low Conductivity Materials

Fluid Flow and Heat Transfer of Natural Convection over Upward-Facing Horizontal, Heated Plate Shrouded by Parallel, Insulated Plate.

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