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Journal ArticleDOI

Estimation of Steady-State Steam Void-Fraction by Means of the Principle of Minimum Entropy Production

S. M. Zivi1
01 May 1964-Journal of Heat Transfer-transactions of The Asme (American Society of Mechanical Engineers)-Vol. 86, Iss: 2, pp 247-251
TL;DR: In this article, an analysis of steam void fraction in two-phase flow is carried out, utilizing the principle that in a steady-state thermodynamic process the rate of entropy production is minimum.
Abstract: An analysis of steam-void fraction in two-phase flow is carried out, utilizing the principle that in a steady-state thermodynamic process the rate of entropy production is minimum. The two-phase flow is idealized in the analysis to be a truly steady-state process. The effects of liquid entrainment and wall friction on the void fraction and slip ratio are evaluated. It is found that the slip-ratio in an idealized two-phase flow with zero wall friction and zero entrainment equals (ρf /ρg )1/3 . Data from a number of experiments are found to be bracketed between this result and the result obtained by assuming complete entrainment (slip ratio = 1).
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Journal ArticleDOI
TL;DR: In this article, an experimental study of heat transfer and flow regimes during condensation of refrigerants in horizontal tubes was conducted, where measurements were made in smooth, round tubes with diameters ranging from 3.14 mm to 7.04 mm.
Abstract: An experimental study of heat transfer and flow regimes during condensation of refrigerants in horizontal tubes was conducted. Measurements were made in smooth, round tubes with diameters ranging from 3.14 mm to 7.04 mm. The refrigerants tested were R-12, R-22, R-134a, and near-azeotropic blends of R-32/R-125 in 50 percent/50 percent and 60 percent/40 percent compositions. The study focused primarily on measurement and prediction of condensing heat transfer coefficients and the relationship between heat transfer coefficients and two-phase flow regimes. Flow regimes were observed visually at the inlet and outlet of the test condenser as the heat transfer data were collected. Stratified, wavy, wavy annular, annular, annular mist, and slug flows were observed. True mist flow without a stable wall film was not observed during condensation tests. The experimental results were compared with existing flow regime maps and some corrections are suggested. The heat transfer behavior was controlled by the prevailing flow regime. For the purpose of analyzing condensing heat transfer behavior, the various flow regimes were divided into two broad categories of gravity-dominated and shear-dominated flows. In the gravity dominated flow regime, the dominant heat transfer mode was laminar film condensation in the top of the tube. This regime was characterized by heat transfer coefficients that depended on the wall-to-refrigerant temperature difference but were nearly independent of mass flux. In the shear-dominated flow regime, forced-convective condensation was the dominant heat transfer mechanism. This regime was characterized by heat transfer coefficients that were independent of temperature difference but very dependent on mass flux and quality. Heat transfer correlations that were developed for each of these flow regimes successfully predicted data from the present study and from several other sources.

673 citations

Journal ArticleDOI
TL;DR: In this paper, the second part of a two-part study concerning two-phase flow and heat transfer characteristics of R134a in a micro-channel heat sink incorporated as an evaporator in a refrigeration cycle is presented.

500 citations

Journal ArticleDOI
TL;DR: In this paper, a flow pattern/flow structure based heat transfer model for condensation inside horizontal, plain tubes is proposed based on simplified flow structures of the flow regimes, and also includes the effect of liquid-vapor interfacial roughness on heat transfer.

474 citations

Journal ArticleDOI
TL;DR: In this article, the authors explored hydrodynamic instability and pressure drop in a water-cooled two-phase micro-channel heat sink containing 21 parallel 231 × 713 μm micro-channels.

472 citations


Cites methods from "Estimation of Steady-State Steam Vo..."

  • ...The four remaining correlations in Table 2 (7–10) were developed from mini/micro-channel pressure drop data, and are all based on the separated flow model and employ the Zivi void fraction correlation [5] to evaluate DPtp;a....

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  • ...They evaluated the accelerational component of pressure drop using a separated flow model incorporating Zivi s void fraction correlation [5] and tested five Corresponding author....

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Journal ArticleDOI
TL;DR: In this paper, a new flow pattern map and flow pattern based heat transfer model for condensation inside horizontal plain tubes are proposed, which incorporates a newly defined logarithmic mean void fraction (LM e ) method for calculation of vapor void fractions spanning from low pressures up to pressures near the critical point.

448 citations