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Showing papers on "Heat transfer published in 1990"


Journal ArticleDOI
TL;DR: In this article, a simple correlation was developed earlier by Kandlikar (1983) for predicting saturated flow boiling heat transfer coefficients inside horizontal and vertical tubes, which was further refined by expanding the data base to 5,246 data points from 24 experimental investigations with ten fluids.
Abstract: A simple correlation was developed earlier by Kandlikar (1983) for predicting saturated flow boiling heat transfer coefficients inside horizontal and vertical tubes. It was based on a model utilizing the contributions due to nucleate boiling and convective mechanisms. It incorporated a fluid-dependent parameter F{sub fl} in the nucleate boiling term. The predictive ability of the correlation for different refrigerants was confirmed by comparing it with the recent data on R-113 by Jensen and Bensler (1986) and Khanpara et al. (1986). In the present work, the earlier correlation is further refined by expanding the data base to 5,246 data points from 24 experimental investigations with ten fluids. The proposed correlation gives a mean deviation of 15.9 percent with water data, and 18.8 percent with all refrigerant data, and it also predicts the correct h{sub TP} versus x trend as verified with water and R-113 data yielded the lowest mean deviations among correlations tested. The proposed correlation can be extended to other fluids by evaluating the fluid-dependent parameter F{sub fl} for that fluid from its flow boiling or pool boiling data.

1,003 citations


Journal ArticleDOI
TL;DR: A new finite-volume method is proposed to predict radiant heat transfer in enclosures with participating media and test results indicate that good accuracy is obtained on coarse computational grids, and that solution errors diminish rapidly as the grid is refined.
Abstract: A new finite-volume method is proposed to predict radiant heat transfer in enclosures with participating media. The method can conceptually be applied with the same nonorthogonal computational grids used to compute fluid flow and convective heat transfer. A fairly general version of the method is derived, and details are illustrated by applying it to several simple benchmark problems. Test results indicate that good accuracy is obtained on coarse computational grids, and that solution errors diminish rapidly as the grid is refined.

824 citations


Journal ArticleDOI
TL;DR: The thermal dispersion conductivity tensor for convection in a porous medium is derived based on the method of volume averaging of the velocity and temperature deviations in the pores.

619 citations


Book
01 Jun 1990
TL;DR: In this paper, basic ϵon-N{sub tu} analysis for complicated flow arrangements, single-phase heat transfer and pressure drop measurements, correlations and predictions, and applications of compact heat exchangers are discussed.
Abstract: This book is covered under the following headings: Basic {epsilon}-N{sub tu} analysis for complicated flow arrangements; Single-phase heat transfer and pressure drop measurements, correlations and predictions; and Applications of compact heat exchangers.

542 citations


Journal ArticleDOI
TL;DR: In this article, the heat equation for an axially heated cylinder with a thermally conductive boundary at the periphery has been solved using both a full numerical solution and an analytic approximation which assumes only radial heat flow.
Abstract: In order to estimate deleterious effects caused by heating in continuous‐wave end‐pumped solid‐state lasers, the heat equation has been solved for an axially heated cylinder with a thermally conductive boundary at the periphery Steady‐state thermal profiles are developed using both a full numerical solution and an analytic approximation which assumes only radial heat flow The analytic solution, which is in good agreement with the numerical solution, is utilized to obtain an expression for the thermal focusing due to temperature‐induced refractive index changes For Nd:YAG, 1 W of pump power deposited as heat is predicted to cause a thermal focusing length comparable to the cavity length of a typical diode end‐pumped laser

536 citations


Journal ArticleDOI
TL;DR: A treatment of the self-heating problem is presented, showing that, in the steady state, some of the heuristic models of heat generation, thermal conductivity, and heat capacity could indeed approximate the correct results within an error bound of 1-10%.
Abstract: A treatment of the self-heating problem is presented. It is based on the laws of phenomenological irreversible thermodynamics (e.g. Onsager's relations and conservation of total energy) and is also consistent with the physical models usually considered in the isothermal drift diffusion approximation. The classical isothermal device equations are extended and completed by a generalized heat-conduction equation involving heat sources and sinks which, besides Joule and Thomson heat, reflect the energy exchanged through recombination (radiative and nonradiative) and optical generation. Thus the extended model also applies to direct semiconductors (e.g., optoelectronic devices) and accounts for effects caused by the ambient light intensity. It fully allows for low temperature since the case of incomplete ionization of donors and acceptors (impurity freeze-out) is properly incorporated in the theory. A critical comparison with previous work is made, showing that, in the steady state, some of the heuristic models of heat generation, thermal conductivity, and heat capacity could indeed approximate the correct results within an error bound of 1-10%. In the transient regime, however, none of the models used previously seems to be reliable, particularly, if short switching times ( >

467 citations


Journal ArticleDOI
TL;DR: In this paper, the physical meaning of the constant τ in Cattaneo and Vernotte's equation for materials with a nonhomogeneous inner structure has been considered and some values for selected products have been given.
Abstract: The physical meaning of the constant {tau} in Cattaneo and Vernotte's equation for materials with a nonhomogeneous inner structure has been considered. An experimental determination of the constant {tau} has been proposed and some values for selected products have been given. The range of differences in the description of heat transfer by parabolic and hyperbolic heat conduction equations has been discussed. Penetration time, heat flux, and temperature profiles have been taken into account using data from the literature and the experimental and calculated results.

459 citations


Journal ArticleDOI
TL;DR: A review of what is known about fluctuations and anomalous transport processes in tokamaks can be found in this paper, where Liewer [Nucl. Technol.
Abstract: This is a review of what is known about fluctuations and anomalous transport processes in tokamaks. It mostly considers experimental results obtained after, and not included in, the reviews of Liewer [Nucl. Fusion 25, 543 (1985)], Robinson [in Turbulence and Anomalous Transport in Magnetized Plasmas (Ecole Polytechnique, Palaiseau, France, 1986), p. 21], and Surko [in Turbulence and Anomalous Transport in Magnetized Plasmas (Ecole Polytechnique, Palaiseau, France, 1986), p. 93]. Therefore much of the pioneering work in the field is not covered. Emphasis is placed on results where comparisons between fluctuations and transport properties have been attempted, particularly from the tokamak TEXT [Nucl. Technol./Fusion 1, 479 (1981)]. A brief comparison of experimentally measured total fluxes with the predictions of neoclassical theory demonstrates that transport is often anomalous; fluctuations are thought to be the cause.The measurements necessary to determine any such fluctuation‐driven fluxes are described. The diagnostics used to measure these quantities, together with some of the statistical techniques employed to analyze the data, are outlined. In the plasma edge detailed measurements of the quantities required to directly determine the fluctuation‐driven fluxes are available. The total and fluctuation‐driven fluxes are compared: the result emphasizes the importance of edge turbulence. No model adequately describes all the measured properties. In the confinement region experimental observations are presently restricted to measurements of density and potential fluctuations and their correlations. Various distinct turbulence features that have been observed are described, and their characteristics compared with the predictions of various models. Correlations observed between these fluctuations and plasma transport properties are summarized. A separate section on magnetic fluctuations shows there is very little information available inside the plasma, generally prohibiting quantified comparisons between fluctuation levels and transport. Both coherent and turbulent magnetic fluctuations are addressed, and the differences between low and high plasma pressure (low and high beta) are noted. The contributions of alternate confinement devices, such as stellarators and reversed field pinches, to understanding tokamak anomalous transport are discussed. Finally, future directions are proposed.

457 citations


Journal ArticleDOI
TL;DR: In this paper, a 2-fluid thermal-hydraulic code capable of simulating thermal and mechanical phenomena occurring in the primary and secondary circuits of PWRs for a wide variety of accidental situations is presented.

397 citations


01 Jan 1990
TL;DR: In this paper, the authors introduce the physical effects underlying heat and mass transfer phenomena and develop methodologies for solving a variety of real-world problems and emphasize the importance of conservation principles, particularly the first law of thermodynamics, in heat transfer analysis, and have been expanded to encompass principles and problems in mass transfer.
Abstract: This text introduces the physical effects underlying heat and mass transfer phenomena and develops methodologies for solving a variety of real-world problems. It emphasizes the importance of conservation principles, particularly the first law of thermodynamics, in heat transfer analysis, and has been expanded to encompass principles and problems in mass transfer. Includes numerous examples and problems.

355 citations


Book ChapterDOI
TL;DR: The chapter summarizes analytical, numerical, and experimental work in literature, in order to facilitate the improvement of existing schemes and provide a basis for the development of new ones on the thermal control of semiconductor devices, modules, and total systems.
Abstract: Publisher Summary Thermal control of electronic components has one principal objective, to maintain relatively constant component temperature equal to or below the manufacturer's maximum specified service temperature, typically between 85 and 100°C. It is noted that even a single component operating 10°C beyond this temperature can reduce the reliability of certain systems by as much as 50%. Therefore, it is important for the new thermal control schemes to be capable of eliminating hot spots within the electronic devices, removing heat from these devices and dissipating this heat to the surrounding environment. Several strategies have developed over the years for controlling and removing the heat generated in multichip modules, which include advanced air-cooling schemes, direct cooling, and miniature thermosyphons or free-falling liquid films. The chapter summarizes analytical, numerical, and experimental work in literature, in order to facilitate the improvement of existing schemes and provide a basis for the development of new ones. The chapter focuses on investigations performed over the past decade and includes information on the thermal control of semiconductor devices, modules, and total systems.


Journal ArticleDOI
TL;DR: In this article, a model of the direct contact membrane distillation (MD) process is presented, and flux reduction for salt is largely due to vapour pressure reduction, and for sucrose is due to increased viscosity.

Book
01 Jan 1990
TL;DR: In this paper, the authors present an overview of the properties of Gases and Vapours, including their properties in terms of heat transfer mechanisms and diffusion and mass transfer, as well as their physical properties.
Abstract: Units and Dimensions Density and Specific Gravity Properties of Fluids, Hydrostatics and Dynamics Viscosity Solid Rheology and Texture Surface Properties Introduction to Thermodynamic and Thermal Properties Sensible and Latent Heat Changes Heat Transfer Mechanisms Unsteady-state Heat Transfer Properties of Gases and Vapours Electrical Properties Diffusion and Mass Transfer Bibliography and references Index.

Journal ArticleDOI
TL;DR: In this paper, an analysis for the forced convective flow of a gas through a packed bed of spherical solid particles, and the associated heat transport processes was presented, and it was shown that the local thermal equilibrium condition was very sensitive to the particle Reynolds number (Re{sub p}) and the Darcy number (Da) while thermophysical properties did not have a very significant effect on this condition.
Abstract: This paper presents an analysis for the forced convective flow of a gas through a packed bed of spherical solid particles, and the associated heat transport processes. Ergun's correlation was used as the vapor phase momentum equation in order to account for the inertia effects as well as the viscous effects. No local thermal equilibrium was assumed between the solid and the vapor phases. A thorough discussion of the thermal interactions between the solid and vapor phases and their effect on the fluid flow as well as the pressure and density fields is presented. The analysis shows that the local thermal equilibrium condition was very sensitive to the particle Reynolds number (Re{sub p}) and the Darcy number (Da) while thermophysical properties did not have a very significant effect on this condition. On the other hand, two-dimensional behavior of certain variables was found to be very sensitive to thermophysical parameters but insensitive to Re{sub p} and Da.

Journal ArticleDOI
TL;DR: In this article, Radiative exchanges are calculated with the assumption of diffuse surfaces and with use of a viewed and hidden part algorithm together with a Galerkin discretization.

Proceedings ArticleDOI
TL;DR: In this article, the effects of buoyancy and Coriolis forces on heat transfer in turbine blade internal coolant passages were investigated with a large scale, multi-pass, smooth-wall heat transfer model with both radially inward and outward flow.
Abstract: Experiments were conducted to determine the effects of buoyancy and Coriolis forces on heat transfer in turbine blade internal coolant passages. The experiments were conducted with a large scale, multi-pass, smooth-wall heat transfer model with both radially inward and outward flow. An analysis of the governing flow equations showed that four parameters influence the heat transfer in rotating passages (coolant-to-wall temperature ratio, Rossby number, Reynolds number and radius-to-passage hydraulic diameter ratio). These four parameters were varied over ranges which are typical of advanced gas turbine engine operating conditions. It was found that both Coriolis and buoyancy effects must be considered in turbine blade cooling designs and that the effect of rotation on the heat transfer coefficients was markedly different depending on the flow direction. Local heat transfer coefficients were found to decrease by as much as 60 percent and increase by 250 percent from no rotation levels. Comparisons with a pioneering stationary vertical tube buoyancy experiment showed reasonably good agreement. Correlation of the data is achieved employing dimensionless parameters derived from the governing flow equations.

Journal ArticleDOI
TL;DR: In this paper, the effect of a centered, square, heat-conducting body on natural convection in a vertical square enclosure was examined numerically and the analysis revealed that the fluid flow and heat transfer processes are governed by the Rayleigh and Prandtl numbers, the dimensionless body size, and the ratio of the thermal conductivity of the body to that of the fluid.
Abstract: The effect of a centered, square, heat-conducting body on natural convection in a vertical square enclosure was examined numerically. The analysis reveals that the fluid flow and heat transfer processes are governed by the Rayleigh and Prandtl numbers, the dimensionless body size, and the ratio of the thermal conductivity of the body to that of the fluid. For Pr = 0.71 and relatively wide ranges of the other parameters, results are reported in terms of streamlines, isotherms, and the overall heat transfer across the enclosure as described by the Nusselt number. Heat transfer across the enclosure, in comparison to that in the absence of a body, may be enhanced (reduced) by a body with a thermal conductivity ratio less (greater) than unity. Furthermore, the heat transfer may attain a minimum as the body size is increased. These and other findings are justified through a careful examination of the local heat and fluid flow phenomena.

Journal ArticleDOI
TL;DR: In this article, a model for the thermal evolution of the Martian mantle and core and for the evolution of its magnetic field is developed by expanding the planetary thermal history model of Stevenson et al. and using the energy balance equations from that work.
Abstract: A model for thermal evolution of the Martian mantle and core and for the evolution of the Martian magnetic field is developed by expanding the planetary thermal history model of Stevenson et al (1983) and using the energy balance equations from that work Several parameter values are chosen differently from those of the Stevenson model, including those for mantle density, core radius, core density, central pressure, and pressure at the core-mantle boundary The model is further modified to allow calculations of lithosphere thickness through time According to the model, the core contains a light alloying constituent, assumed to be sulfur The results of calculations show that a small Martian magnetic field can be generated by a weakly convecting liquid core


Journal ArticleDOI
TL;DR: A mathematical model was developed and tested to simulate the generation and transfer of heat in solid substrate fermentation (SSF) and it was shown that conduction through the fermentation fixed bed was the main heat transfer resistance.
Abstract: A mathematical model was developed and tested to simulate the generation and transfer of heat in solid substrate fermentation (SSF). The experimental studies were realized in a 1-L static bioreactor packed with cassava wet meal and inoculated with Aspergillus niger. A simplified pseudohomogeneous monodimensional dynamic model was used for the energy balance. Kinetic equations taking into account biomass formation (logistic), sugar consumption (with maintenance), and carbon dioxide formation were used. Model verification was achieved by comparison of calculated and experimental temperatures. Heat transfer was evaluated by the estimation of Biot and Peclet heat dimensionless numbers 5-10 and 2550-2750, respectively. It was shown that conduction through the fermentation fixed bed was the main heat transfer resistance. This model intends to reach a better understanding of transport phenomena in SSF, a fact which could be used to evaluate various alternatives for temperature control of SSF, i.e., changing air flow rates and increasing water content. Dimensionless numbers could be used as scale-up criteria of large fermentors, since in those ratios are described the operating conditions, geometry, and size of the bioreactor. It could lead to improved solid reactor systems. The model can be used as a basis for automatic control of SSF for the production of valuable metabolites in static fermentors.

Journal ArticleDOI
TL;DR: The response to a boundary heating of a very compressible, low-diffusivity, supercritical fluid under zero-gravity is studied by solving numerically the full non-linear one-dimensional Navier-Stokes equations.
Abstract: The response to a boundary heating of a very compressible, low-diffusivity, supercritical fluid (${\mathrm{CO}}_{2}$) under zero-gravity is studied by solving numerically the full non-linear one-dimensional Navier-Stokes equations. Both short (acoustic) and long (diffusion) time scales are investigated. A new mechanism of heat transport is seen, where the thermal energy is transformed into kinetic energy in a hot expanding boundary layer (the piston), which in turn is transformed in the bulk into internal energy. Steeply profiled waves are observed. In contrast to the ``critical slowing down'' behavior, the enhancement of heat transport is so important that it is nearly completed after 1% of the diffusion time.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the heat transfer coefficients on interior building surfaces (such as vertical walls, ceilings and glazing) using a real-sized indoor test cell which measures 2.95 × 2.08 m (length × width × height) and a total of 142 tests, each one lasting about 24 hours, were conducted under controlled steady-state conditions to cover nine of the most widely used heating configurations in buildings.


Journal ArticleDOI
TL;DR: In this article, an analytical model is presented that can be used to predict the heat-transfer characteristics of film evaporation on a microgroove surface, assuming that the liquid flow along a "V"-shaped groove channel is driven primarily by the capillary pressure difference due to receding of the meniscus toward the apex of the groove, and the flow up the groove side wall is driven by the disjoining pressure difference.
Abstract: An analytical model is presented that can be used to predict the heat-transfer characteristics of film evaporation on a microgroove surface. The model assumes that the liquid flow along a "V"-shaped groove channel is driven primarily by the capillary pressure difference due to the receding of the meniscus toward the apex of the groove, and the flow up the groove side wall is driven by the disjoining pressure difference. It also assumes that conduction across the thin liquid film is the dominant mechanism of heat transfer. A correlation between the Nusselt number and a nondimensional parameter ¥ is developed from this model which relates the heat transfer for the microgroove surface to the fluid properties, groove geometry, and the constants for the disjoining pressure relation. The results of a limited experimental study of the heat transfer during vaporization of a liquid coolant on a microgroove surface are also reported. Film-evaporation transfer coefficients inferred from these experiments are found to correlate fairly well in terms of Nusselt number and ¥ parameter format developed in the model. The results of this study suggest that disjoining pressure differences may play a central role in evaporation processes in microgroove channels.

Journal ArticleDOI
TL;DR: Equations that describe the dynamics in the absence of gravity are developed, and the magnitude of the effect is illustrated with numerical solutions in one dimension.
Abstract: The extreme compressibility of a pure fluid near its critical point significantly affects its bulk dynamic response to temperature changes through adiabatic processes. Equations that describe the dynamics in the absence of gravity are developed, and the magnitude of the effect is illustrated with numerical solutions in one dimension. The results are remarkable: 5 mm of critical xenon, quenched from 20 to 10 mK above its critical temperature, cools by over 99 percent in less than 5 s. Moreover, adiabatic cooling is faster when the fluid is closer to the critical point.

Journal ArticleDOI
Abstract: The evolution of plane-parallel magnetized thermal conduction fronts in the interstellar medium (ISM) was studied. Separating the coronal ISM phase and interstellar clouds, these fronts have been thought to be the site of the intermediate-temperature regions whose presence was inferred from O VI absorption-line studies. The front evolution was followed numerically, starting from the initial discontinuous temperature distribution between the hot and cold medium, and ending in the final cooling stage of the hot medium. It was found that, for the typical ISM pressure of 4000 K/cu cm and the hot medium temperature of 10 to the 6th K, the transition from evaporation to condensation in a nonmagnetized front occurs when the front thickness is 15 pc. This thickness is a factor of 5 smaller than previously estimated. The O VI column densities in both evaporative and condensation stages agree with observations if the initial hot medium temperature Th exceeds 750,000 K. Condensing conduction fronts give better agreement with observed O VI line profiles because of lower gas temperatures.

Journal ArticleDOI
TL;DR: In this article, a new temperature-based fixed-grid formulation is proposed, and the reason that the original equivalent heat capacity model is subject to such restrictions on the time step, mesh size and the phase-change temperature range is discussed.
Abstract: Fixed grid solutions for phase-change problems remove the need to satisfy conditions at the phase-change front and can be easily extended to multidimensional problems. The two most important and widely used methods are enthalpy methods and temperature-based equivalent heat capacity methods. Both methods in this group have advantages and disadvantages. Enthalpy methods (Shamsundar and Sparrow, 1975; Voller and Prakash, 1987; Cao et al., 1989) are flexible and can handle phase-change problems occurring both at a single temperature and over a temperature range. The drawback of this method is that although the predicted temperature distributions and melting fronts are reasonable, the predicted time history of the temperature at a typical grid point may have some oscillations. The temperature-based fixed grid methods (Morgan, 1981; Hsiao and Chung, 1984) have no such time history problems and are more convenient with conjugate problems involving an adjacent wall, but have to deal with the severe nonlinearity of the governing equations when the phase-change temperature range is small. In this paper, a new temperature-based fixed-grid formulation is proposed, and the reason that the original equivalent heat capacity model is subject to such restrictions on the time step, mesh size, and the phase-change temperature range will alsomore » be discussed.« less


Journal ArticleDOI
TL;DR: In this article, the authors present results from a visualization experiment in Rayleigh-Benard convection in water at high Rayleigh number and distinguish three kinds of coherent structures in the flow: waves along the boundary layers, plumes, and spiraling swirls.
Abstract: We present results from a visualization experiment in Rayleigh-Benard convection in water at high Rayleigh number. We distinguish three kinds of coherent structures in the flow: waves along the boundary layers, plumes, and spiraling swirls. The waves originate from the interaction of plumes with the boundary layers. The spiraling swirls appear to be the result of a shear instability of the viscous boundary layer. We describe the “life cycle” of these structures in the cell, and when we focus on the waves and characterize them quantitatively using local temperature measurements.