单面加热竖直窄通道内环状流沸腾传热特性
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摘要
基于汽芯的动量方程和液膜的质量和动量方程,建立了单面均匀热流竖直窄通道内环状流沸腾传热模型,利用数值法对方程组进行求解,得出了环状流区域的液膜厚度,并进一步预测了环状流两相沸腾传热系数。研究表明:模型预测的两相沸腾传热系数比Mahmound关联式计算值偏小;将不同工况下的291组环状流两相沸腾传热系数实验值与模型预测值进行对比,平均绝对误差为12.7%。
A model of annular flow regime for saturated flow boiling in vertical narrow channel heated from one side has been developed based on the monmentum equation of the vapor core and the mass and monmentum equations of the liquid film.Through solving the closed equations of proposed model by numerical method,the liquid film thickness of annular flow region can be obtained and the two-phase heat transfer coefficient of annular flow is further predicted.The result shows that the two-phase heat transfer coefficient of model predictions are lower than the calculated values given by Mahmound correlations.it shows good agreement between the predicted two-phase heat transfer coefficient and 291 experimental results under different working conditions,and its mean absolute error is 12.7%.
A model of annular flow regime for saturated flow boiling in vertical narrow channel heated from one side has been developed based on the monmentum equation of the vapor core and the mass and monmentum equations of the liquid film.Through solving the closed equations of proposed model by numerical method,the liquid film thickness of annular flow region can be obtained and the two-phase heat transfer coefficient of annular flow is further predicted.The result shows that the two-phase heat transfer coefficient of model predictions are lower than the calculated values given by Mahmound correlations.it shows good agreement between the predicted two-phase heat transfer coefficient and 291 experimental results under different working conditions,and its mean absolute error is 12.7%.
引文
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[14] YUAN S,CHENG W L,NIAN Y L,et al.Evaluation of prediction methods for heat transfer coefficient of annular flow and a novel correlation[J].Applied Thermal Engineering,2016,114:10-23.
[15] KIM S M,MUDAWAR I.Theoretical model for local heat transfer coefficient for annular flow boiling in circular mini/micro-channels[J].International Journal of Heat & Mass Transfer,2014,73(4):731-742.
[16] FU F,KLAUSNER J F.A separated flow model for predicting two-phase pressure drop and evaporative heat transfer for vertical annular flow[J].International Journal of Heat & Fluid Flow,1997,18(6):541-549.
[17] SU G,GOU J,QIU S,et al.Theoretical calculation of annular upward flow in a narrow annuli with bilateral heating[J].Nuclear Engineering & Design,2003,225(2):219-247.
[18] DU D X,TIAN W X,SU G H,et al.Theoretical study on the characteristics of critical heat flux in vertical narrow rectangular channels[J].Applied Thermal Engineering,2012,36(1):21-31.
[19] KIM S M,MUDAWAR I.Theoretical model for annular flow condensation in rectangular micro-channels[J].International Journal of Heat & Mass Transfer,2012,55(4):958-970.
[20] XU J L,CHENG P,ZHAO T S.Gas–liquid two-phase flow regimes in rectangular channels with mini/micro gaps[J].International Journal of Multiphase Flow,1999,25(3):411-432.
[21] WALLIS G B.One-dimensional two-phase flow[J].International Journal of Multiphase Flow,1969(1-2):97-112.
[22] CIONCOLINI A,THOME J R.Entrained liquid fraction prediction in adiabatic and evaporating annular two-phase flow[J].Nuclear Engineering & Design,2012,243:200-213.
[23] CIONCOLINI A,THOME J R.Void fraction prediction in annular two-phase flow[J].International Journal of Multiphase Flow,2012,43:72-84.
[2] HUO X,CHEN L,TIAN Y S,et al.Flow boiling and flow regimes in small diameter tubes[J].Applied Thermal Engineering,2004,24(8):1225-1239.
[3] 黄理浩,陶乐仁,芮胜军,等.垂直矩形窄通道流动沸腾换热特性实验研究[J].热能动力工程,2013,28(1):53-56.HUANG Li-hao,TAO Le-ren,RUI Sheng-jun,et al.Experimental study of the boiling heat exchange charateristics of a flow in a vertical rectangular narrow channel[J].Journal of Engineering for Thermal Energy and Power,2013,28(1):53-56.
[4] MAO K,HIBIKI T.Flow regime transition criteria for upward two-phase cross-flow in horizontal tube bundles[J].Applied Thermal Engineering,2017,112:1533-1546.
[5] CHEN C,GAO P Z,TAN S C,et al.Theoretical calculation of the characteristics of annular flow in a rectangular narrow channel[J].Annals of Nuclear Energy,2015,85:259-270.
[6] SUN S,WU Y,ZHAO R.The numerical calculation of heat transfer performance for annular flow of liquid nitrogen in a vertical annular channel[J].Cryogenics,2001,41(4):231-237.
[7] OKAWA T,MURAKAMI T,TAKEI R.Rate of droplet deposition in steam-water annular flow and effect of a flow obstacle[J].Nuclear Engineering & Design,2011,241(11):4497-4503.
[8] UEDA T,INOUE M,NAGATOME S.Critical heat flux and droplet entrainment rate in boiling of falling liquid films[J].International Journal of Heat & Mass Transfer,1981,24(7):1257-1266.
[9] SCHUBRING D,SHEDD T A.A model for pressure loss,film thickness,and entrained fraction for gas–liquid annular flow[J].International Journal of Heat & Fluid Flow,2011,32(3):730-739.
[10] PALEEV I I,FILIPPOVICH B S.Phenomena of liquid transfer in two-phase dispersed annular flow[J].International Journal of Heat & Mass Transfer,1968,9(10):1089-1093.
[11] KATAOKA I,ISHII M,NAKAYAMA A.Entrainment and desposition rates of droplets in annular two-phase flow[J].International Journal of Heat & Mass Transfer,2000,43(9):1573-1589.
[12] HEWITT G F,GOVAN A H.Phenomenological modelling of non-equilibrium flows with phase change [J].International Journal of Heat & Mass Transfer,1990,33(2):229-242.
[13] WANG Y,WANG Y,WANG G X,et al.Prediction of evaporation heat transfer coefficient based on gas–liquid two-phase annular flow regime in horizontal microfin tubes[J].Applied Thermal Engineering,2009,29(14):2970-2976.
[14] YUAN S,CHENG W L,NIAN Y L,et al.Evaluation of prediction methods for heat transfer coefficient of annular flow and a novel correlation[J].Applied Thermal Engineering,2016,114:10-23.
[15] KIM S M,MUDAWAR I.Theoretical model for local heat transfer coefficient for annular flow boiling in circular mini/micro-channels[J].International Journal of Heat & Mass Transfer,2014,73(4):731-742.
[16] FU F,KLAUSNER J F.A separated flow model for predicting two-phase pressure drop and evaporative heat transfer for vertical annular flow[J].International Journal of Heat & Fluid Flow,1997,18(6):541-549.
[17] SU G,GOU J,QIU S,et al.Theoretical calculation of annular upward flow in a narrow annuli with bilateral heating[J].Nuclear Engineering & Design,2003,225(2):219-247.
[18] DU D X,TIAN W X,SU G H,et al.Theoretical study on the characteristics of critical heat flux in vertical narrow rectangular channels[J].Applied Thermal Engineering,2012,36(1):21-31.
[19] KIM S M,MUDAWAR I.Theoretical model for annular flow condensation in rectangular micro-channels[J].International Journal of Heat & Mass Transfer,2012,55(4):958-970.
[20] XU J L,CHENG P,ZHAO T S.Gas–liquid two-phase flow regimes in rectangular channels with mini/micro gaps[J].International Journal of Multiphase Flow,1999,25(3):411-432.
[21] WALLIS G B.One-dimensional two-phase flow[J].International Journal of Multiphase Flow,1969(1-2):97-112.
[22] CIONCOLINI A,THOME J R.Entrained liquid fraction prediction in adiabatic and evaporating annular two-phase flow[J].Nuclear Engineering & Design,2012,243:200-213.
[23] CIONCOLINI A,THOME J R.Void fraction prediction in annular two-phase flow[J].International Journal of Multiphase Flow,2012,43:72-84.