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Showing papers on "Nusselt number published in 2002"


Journal ArticleDOI
TL;DR: In this article, an experimental system was built to investigate convective heat transfer and flow characteristics of the nanofluid in a tube, and the effects of such factors as the volume fraction of suspended nanoparticles and the Reynolds number on the heat transfer was discussed in detail.
Abstract: An experimental system is built to investigate convective heat transfer and flow characteristics of the nanofluid in a tube. Both the convective heat transfer coefficient and friction factor of Cu-water nanofluid for the laminar and turbulent flow are measured. The effects of such factors as the volume fraction of suspended nanoparticles and the Reynolds number on the heat transfer and flow characteristics are discussed in detail. The experimental results show that the suspended nanoparticles remarkably increase the convective heat transfer coefficient of the base fluid and show that the friction factor of the sample nanofluid with the low volume fraction of nanoparticles is almost not changed. Compared with the base fluid, for example, the convective heat transfer coefficient is increased about 60% for the nanofluid with 2.0 vol% Cu nanoparticles at the same Reynolds number. Considering the factors affecting the convective heat transfer coefficient of the nanofluid, a new convective heat transfer correlation for nanofluid under single-phase flows in tubes is established. Comparison between the experimental data and the calculated results indicate that the correlation describes correctly the energy transport of the nanofluid.

373 citations


Journal ArticleDOI
TL;DR: In this article, a simple coordinate transformation method and the spline alternating-direction implicit method were used to analyze the rate of heat transfer for flow through a sinusoidally curved converging-diverging channel.

304 citations


Journal ArticleDOI
TL;DR: In this paper, boundary conditions for constant wall heat flux in the absence of local thermal equilibrium conditions are analyzed and the effects of variable porosity and thermal dispersion are also analyzed.

295 citations


Journal ArticleDOI
TL;DR: In this paper, the effect of roughness on the heat transfer coefficient and friction factor of a rectilinear rectangular duct with one broad wall roughened by wedge shaped transverse integral ribs was investigated.

295 citations


Journal ArticleDOI
TL;DR: In this article, the axially-averaged Nusselt number of convection heat transfer to supercritical carbon dioxide in both horizontal and vertical miniature heated tubes was investigated.

287 citations


Journal ArticleDOI
TL;DR: In this article, the combined effects of foam porosity (e=0.7, 0.8, and 0.95) and flow Reynolds number (1900≤Re≤7800) were examined.
Abstract: Convective heat transfer and friction drag in a duct inserted with aluminum foams have been studied experimentally. The combined effects of foam porosity (e=0.7, 0.8, and 0.95) and flow Reynolds number (1900≤Re≤7800) are examined. Frictional drags for flow across the aluminum foam are measured by pressure taps, while interstitial heat transfer coefficients in the aluminum foam are determined using a transient single-blow technique with a thermal non-equilibrium two-equation model. Solid material temperature distribution is further measured for double check of the heat transfer results. To understand the frictional drag mechanisms, smoke-wire flow visualization is conducted in the aluminum-foam ducts. Results show that both the friction factor and the volumetric heat transfer coefficient increase with decreasing the foam porosity at a fixed Reynolds number. In addition, the aluminum foam of e=0.8 has the best thermal performance under the same pumping power constraint among the three aluminum foams investigated. Finally, empirical correlations for pore Nusselt number are developed in terms of pore Reynolds number under various foam porosities

278 citations


Journal ArticleDOI
TL;DR: In this paper, the authors present numerical and experimental results for buoyancy-induced flows in high porosity metal foams heated from below using a Brinkman-Forchheimer-extended Darcy flow model and a semi-heuristic two-equation energy model obtained by relaxing the local thermal equilibrium assumption.

278 citations


Journal ArticleDOI
TL;DR: In this paper, a correlation was developed for the axially averaged Nusselt number in terms of appropriate dimensionless parameters for forced convection of supercritical carbon dioxide in horizontal mini/micro tubes cooled at a constant temperature.
Abstract: Heat transfer from supercritical carbon dioxide flowing in horizontal mini/micro circular tubes cooled at a constant temperature has been investigated experimentally. Six stainless steel circular tubes having inside-diameters of 0.50 mm, 0.70 mm, 1.10 mm, 1.40 mm, 1.55 mm, and 2.16 mm were tested. Measurements were carried out for the pressures ranging from 74 to 120 bar, the temperatures ranging from 20 to 110°C, and the mass flow rates ranging from 0.02 to 0.2 kg/min. It is found that the buoyancy effect was still significant, although supercriticalCO2 was in forced motion through the horizontal tubes at Reynolds numbers up to 10 5 . The experimental results also indicate that the existing correlations developed in the previous studies for large tubes deviate significantly from the experimental data for the present mini/micro tubes. Based on the experimental data, a correlation was developed for the axially averaged Nusselt number in terms of appropriate dimensionless parameters for forced convection of supercritical carbon dioxide in horizontal mini/micro tubes cooled at a constant temperature. @DOI: 10.1115/1.1423906#

268 citations


Journal ArticleDOI
TL;DR: In this paper, the authors measured on and above a dimpled test surface placed on one wall of a channel, and the results were given for Reynolds numbers from about 600 to about 11,000 and ratios of air inlet stagnation temperature to surface temperature ranging from 0.78 to 0.94.

265 citations


Journal ArticleDOI
TL;DR: In this article, heat transfer and flow regime measurements for HFC-134a condensing inside a horizontal rectangular multi-port aluminum condenser tube of 1.46 mm hydraulic diameter are compared with condensation heat transfer correlations and flow region maps from the literature.

228 citations


Journal ArticleDOI
TL;DR: In this paper, a new correlation to predict the heat transfer coefficient of supercritical carbon dioxide during in-tube cooling has been developed based on mean Nusselt numbers that are calculated using the thermophysical properties at the wall and the bulk temperatures, respectively.
Abstract: The Nusselt number variations of supercritical carbon dioxide during in-tube cooling are presented and discussed. Using data presented in this paper as well as prior publications, a new correlation to predict the heat transfer coefficient of supercritical carbon dioxide during in-tube cooling has been developed. The new correlation is presented in this paper. It is based on mean Nusselt numbers that are calculated using the thermophysical properties at the wall and the bulk temperatures, respectively. It is seen that the majority of the numerical and experimental values are within ±20% of the values predicted by the new correlation.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated convection heat transfer in a rectangular microchannel, where the velocity profile for a rectangular channel is not known under the slip flow conditions, and the momentum equation is first solved for velocity.

Journal ArticleDOI
TL;DR: In this article, the authors present an analytical and numerical study on the heat transfer characteristics of forced convection across a microchannel heat sink, and two analytical approaches are used: the porous medium model and the fin approach.

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TL;DR: In this article, a numerical finite difference approach was used to compute the steady and unsteady flow and heat transfer due to a confined two-dimensional slot jet impinging on an isothermal plate.

Journal ArticleDOI
TL;DR: In this article, a critical review of published results is presented, to provide a better understanding of microchannel transport phenomena, together with the framework for future research, and the main conclusions are (1) the onset of transition to turbulent flow in smooth microchannels does not occur if the Reynolds number is h 1,000; (2) the Nusselt number varies as the square root of the Reynolds numbers in laminar flow; and (3) satisfactory estimates of transfer coefficients, within the accuracy of experimental errors, can be obtained by using either experimental results for smooth
Abstract: A critical review of published results is presented, to provide a better understanding of microchannel transport phenomena, together with the framework for future research. The main conclusions are (1) the onset of transition to turbulent flow in smooth microchannels does not occur if the Reynolds number is h 1,000; (2) the Nusselt number varies as the square root of the Reynolds number in laminar flow; and (3) satisfactory estimates of transfer coefficients, within the accuracy of experimental errors, can be obtained by using either experimental results for smooth channels with large hydraulic diameter or conventional correlations.

Journal ArticleDOI
TL;DR: In this article, a novel insight for the forced convective heat transfer enhancement of microencapsulated phase change material slurries flowing through a circular tube with constant heat flux is presented.

Journal ArticleDOI
TL;DR: In this article, a two-dimensional, rectangular enclosure with sinusoidal temperature profile on the upper wall and adiabatic conditions on the bottom and sidewalls is numerically investigated.
Abstract: Natural convection in a two-dimensional, rectangular enclosure with sinusoidal temperature profile on the upper wall and adiabatic conditions on the bottom and sidewalls is numerically investigated. The applied sinusoidal temperature is symmetric with respect to the midplane of the enclosure. Numerical calculations are produced for Rayleigh numbers in the range 10 2 to 10 8 , and results are presented in the form of streamlines, isotherm contours, and distributions of local Nusselt number. The circulation patterns are shown to increase in intensity, and their centers to move toward the upper wall corners with increasing Rayleigh number. As a result, the thermal boundary layer is confined near the upper wall regions. The values of the maximum and the minimum local Nusselt number at the upper wall are shown to increase with increasing Rayleigh number. Finally, an increase in the enclosure aspect ratio produces an analogous increase of the fluid circulation intensity.

Journal ArticleDOI
TL;DR: In this article, the authors studied the effect of a confined impinging jet on the heat transfer in the Navier-Stokes equations and found that the instantaneous flow fields and heat transfer distributions are highly unsteady and oscillatory in nature.
Abstract: Unsteady heat transfer caused by a confined impinging jet is studied using direct numerical simulation (DNS). The time-dependent compressible Navier-Stokes equations are solved using high-order numerical schemes together with high-fidelity numerical boundary conditions. A sixth-order compact finite difference scheme is employed for spatial discretization while a third-order explicit Runge-Kutta method is adopted for temporal integration. Extensive spatial and temporal resolution tests have been performed to ensure accurate numerical solutions. The simulations cover several Reynolds numbers and two nozzle-to-plate distances. The instantaneous flow fields and heat transfer distributions are found to be highly unsteady and oscillatory in nature, even at relatively low Reynolds numbers. The fluctuation of the stagnation or impingement Nusselt number, for example, can be as high as 20 percent of the time-mean value. The correlation between the vortex structures and the unsteady heat transfer is carefully examined. It is shown that the fluctuations in the stagnation heat transfer are mainly caused by impingement of the primary vortices originating from the jet nozzle exit. The quasi-periodic nature of the generation of the primary vortices due to the Kelvin-Helmholtz instability is behind the nearly periodic fluctuation in impingement heat transfer, although more chaotic and non-linear fluctuations are observed with increasing Reynolds numbers. The Nusselt number distribution away from the impingement point, on the other hand, is influenced by the secondary vortices which arise due to the interaction between the primary vortices and the wall jets. The unsteady vortex separation from the wall in the higher Reynolds number cases leads to a local minimum and a secondary maximum in the Nusselt number distribution. These are due to the changes in the thermal layer thickness accompanying the unsteady flow structures.

Journal ArticleDOI
TL;DR: In this article, the scaling laws pertaining to the hydrodynamics and heat transfer in microchannels are not yet clearly established, owing to the various conditions used in the experiments, and, most likely, due to the difficulty of measurements at micronic scales.

01 Nov 2002
TL;DR: In this paper, the Nusselt number was measured at the highest Rayleigh numbers for which Boussinesq conditions hold and sidewall forcing is negligible, and the results showed that the variation in the mean flow was approximately a 1/3 power of the Rayleigh number.
Abstract: New measurements of the Nusselt number have been made in turbulent thermal convection confined in a cylindrical container of aspect ratio unity. The apparatus is essentially the same as that used by Niemela et al. (2000), except that the height was halved. The measurement techniques were also identical but the mean temperature of the flow was held fixed for all Rayleigh numbers. The highest Rayleigh number was . Together with existing data, the new measurements are analysed with the purpose of understanding the relation between the Nusselt number and the Rayleigh number, when the latter is large. In particular, the roles played by Prandtl number, aspect ratio, mean wind, boundary layers, sidewalls, and non-Boussinesq effects are discussed. Nusselt numbers, measured at the highest Rayleigh numbers for which Boussinesq conditions hold and sidewall forcing is negligible, are shown to vary approximately as a 1/3-power of the Rayleigh number. Much of the complexity in interpreting experimental data appears to arise from aspects of the mean flow, including complex coupling of its dynamics to sidewall boundary conditions of the container. Despite the obvious practical difficulties, we conclude that the next generation of experiments will be considerably more useful if they focus on large aspect ratios.

Journal ArticleDOI
TL;DR: Nusselt number measurements from high Prandtl number turbulent thermal convection experiments are reported and are found in good agreement with the prediction of a recent theory over the extended range of Pr covered in the experiment.
Abstract: We report Nusselt number measurements from high Prandtl number turbulent thermal convection experiments. The experiments are conducted in four fluids with the Prandtl number Pr varying from 4 to 1350 and the Rayleigh number Ra from 2x10(7) to 3x10(10), all in a single convection cell of unity aspect ratio. We find that the measured Nusselt number decreased about 20% over the range of Pr spanned in the experiment. The measure data are also found in good agreement with the prediction of a recent theory over the extended range of Pr covered in the experiment.

Journal ArticleDOI
TL;DR: In this paper, the effect of pulsation on heat transfer in laminar incompressible flow is theoretically investigated starting from basic principles in an attempt to eliminate existing confusion at various levels.

Journal ArticleDOI
TL;DR: In this article, a numerical shooting algorithm for two unknown initial conditions with fourth-order Runge-Kutta integration scheme has been used to solve the coupled non-linear boundary value problem.
Abstract: This paper deals with the study of boundary layer flow and heat transfer of a visco-elastic fluid immersed in a porous medium over a non-isothermal stretching sheet. The fluid viscosity is assumed to vary as a function of temperature. The presence of variable viscosity of the fluid leads to the coupling and the non-linearity in the boundary value problem. A numerical shooting algorithm for two unknown initial conditions with fourth-order Runge–Kutta integration scheme has been used to solve the coupled non-linear boundary value problem. An analysis has been carried out for two different cases namely (1) prescribed surface temperature (PST), and (2) prescribed heat flux (PHF), to get the effect of fluid viscosity, permeability parameter and visco-elastic parameter for various situations. The important finding of our study is that the effect of fluid viscosity parameter is to decrease the wall temperature profile significantly when flow is through a porous medium. Further, the effect of permeability parameter is to decrease the skin friction on the sheet.

Journal ArticleDOI
Sung Jin Kim1, Seok Pil Jang1
TL;DR: In this article, a general criterion for local thermal equilibrium is presented in terms of parameters of engineering importance which include the Darcy number, the Prandtl number, and the Reynolds number.

Journal ArticleDOI
TL;DR: In this article, a numerical study of the effect of a hot wavy wall of a laminar natural convection in an inclined square cavity, differentially heated, was carried out.

Journal ArticleDOI
TL;DR: In this article, a self-oscillating impinging-jet configuration is shown to be extremely beneficial in enhancing the heat removal performance of a conventional (stationary) impinging jet.
Abstract: Impinging jets are widely used in the local enhancement of heat removed from internal passages of gas turbine blades. Arrays of stationary jets are usually impinged on surfaces of internal cooling passages. The current practice is to benefit from the high heat transfer coefficients existing in the vicinity of the jet impingement region on a target wall. The present study shows that a self-oscillating impinging-jet configuration is extremely beneficial in enhancing the heat removal performance of a conventional (stationary) impinging jet. In addition to a highly elevated stagnation line Nusselt number, the area coverage of the impingement zone is significantly enhanced because of the inherent sweeping motion of the oscillating coolant jet. When an oscillating jet (Re=14,000) is impinged on a plate normal to the jet axis (x/d =24 hole to plate distance), a typical enhancement of Nu number on the stagnation line is about 70 percent. The present paper explains detailed fluid dynamics structure of the self-oscillating jet by using a triple decomposition technique on a crossed hot wire signal

Journal ArticleDOI
TL;DR: In this article, the thermal performances of corrugated wall tubes employed in a broad variety of industrial applications in order to intensify the convective heat transfer were investigated in the thermal entrance region in the Reynolds number range 90-800.

Journal ArticleDOI
TL;DR: In this article, the authors investigated the constant-wall-temperature convective heat transfer characteristics of a model gaseous flow in two-dimensional micro and nano-channels under hydrodynamically and thermally fully developed conditions.
Abstract: We investigate the constant-wall-temperature convective heat-transfer characteristics of a model gaseous flow in two-dimensional micro and nano-channels under hydrodynamically and thermally fully developed conditions Our investigation covers both the slip-flow regime 0≤Kn≤01, and most of the transition regime 01

Journal ArticleDOI
TL;DR: In this paper, the authors describe a numerical prediction of heat transfer and fluid flow characteristics inside an enclosure bounded by two isothermal wavy walls and two adiabatic straight walls.

01 Jan 2002
TL;DR: In this paper, the authors investigated the constant-wall-temperature convective heat transfer characteristics of a model gaseous flow in two-dimensional micro and nano-channels under hydrodynamically and thermally fully developed conditions.
Abstract: We investigate the constant-wall-temperature convective heat-transfer characteristics of a model gaseous flow in two-dimensional micro and nano-channels under hydrodynamically and thermally fully developed conditions. Our investigation covers both the slip-flow regime 0≤Kn≤0.1, and most of the transition regime 0.1