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为了了解偏心环形腔内非Boussinesq流体自然对流换热的特有现象和规律,本文利用有限容积法对垂直偏心环形腔内的冷水自然对流进行了二维数值模拟,得到了半径比为1.5时不同密度倒置参数、偏心率和Rayleigh数下的流场和温度场,并对不同条件下的平均Nusselt数进行了比较和分析。结果表明:密度倒置参数对流型结构起着决定性的作用,偏心率和Rayleigh数对流场影响较小;相同条件下,当密度倒置参数在0.5附近时,平均Nusselt数最小。

In order to understand the special phenomena and laws of natural convection for the non-Boussinesq fluid in eccentric annulus,a series of two-dimensional numerical simulations on natural convection of cold water in vertical eccentric annulus were performed by finite volume method.The flow and temperature fields for different density inversion parameter,eccentricity and Rayleigh number were obtained when the radius ratio was 1.5.Furthermore,the mean Nusselt number for different condition was compared and analyzed.The results indicate that the density inversion parameter plays the dominant role on flow structure,but the eccentricity and Rayleigh number have slightly influence.The minimum value of mean Nusselt number locates at nearθ_m=0.5.

参考文献

[1] Sivasankaran S;Ho CJ .Effect of temperature dependent properties on natural convection of water near its density maximum in enclosures[J].Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology,2008(5):507-523.
[2] A. Osorio;R. Avila;J. Cervantes .On the natural convection of water near its density inversion in an inclined square cavity[J].International Journal of Heat and Mass Transfer,2004(19/20):4491-4495.
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