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复合方腔顶盖驱动双扩散混合对流格子Boltzmann模拟 总被引:1,自引:0,他引:1
《工程热物理学报》2017,(3)
为本文基于热质耦合的Lattice Bhatnagar-Gross-Krook(CLBGK)模型,通过引入浓度分布函数,利用格子Boltzmann方法对顶盖驱动的复合方腔内的双扩散混合对流现象进行了研究,复合方腔由多孔介质区域和自由空间组成。分析了路易斯数Le=2.0,浮升力比N=1.0,格拉晓夫数Gr=10~4和普朗特数Pr=0.7时,孔隙率(ε=0.6/0.7/0.8)、方腔中多孔介质层位置及理查德森数Ri(10~(-3)≤Ri≤10~3)对内部混合对流及热质扩散的影响。给出了方腔内温度、浓度和流线分布,以及高温高浓度壁面的平均努塞尔数Nu_(av)和平均舍伍德数Sh_(av)。研究结果表明:多孔介质层对顶盖驱动方腔内热质双扩散影响显著,且方腔左壁壁面平均努塞尔数Nu_(av)与平均舍伍德数Sh_(av),在位置D_1~D_3之间随多孔介质层的右移而增大,在位置D_3上随Ri(10~(-3)≤Ri≤10~3)的增大而减小。 相似文献
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基于已知的2087组水的过冷流动沸腾传热实验数据,通过努塞尔数(Nu)和格拉晓夫数(Gr)的关系探讨了不同流动方向和加热方式下浮升力对过冷流动沸腾传热性能的影响。对上壁面单边加热水平矩形管内过冷流动沸腾传热进行了实验研究。实验结果表明,向上的浮升力阻碍了气泡向流体中的扩散,使得传热恶化。在增加流速、增大压力和减小过冷度的条件下,Nu均随Gr增加,使过冷流动沸腾传热得到强化。 相似文献
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在无扰动、随机式扰动以及正弦式扰动下,通过对竖直恒温面处状态Ra为1.328×10^9、Pr为6.24的自然对流进行模拟,探索了热边界层的不稳定性和共振强化自然对流换热。结果表明:(1)竖直自然对流边界层上游位置的随机式扰动对热边界层的影响主要体现在稳定阶段;(2)该状态下的竖直自然对流边界层的特征频率为15 067,且相比于无扰动状态,频率为15 067的正弦式扰动能在竖直恒温面处提高5.15%的换热量;(3)在竖直自然对流边界层上游位置加入特征频率的正弦式扰动,竖直恒温面处的局部努塞尔数Nu均出现明显波动,且波动随着边界层高度的增加而增大。 相似文献
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We present experimental results of heat transfer processes in mixed-convective flow from a ducted vertical hot-plate thermal flow sensor for aiding (upward) and opposing (downward) flows. The results are obtained for three different Grashof numbers, Gr = 289, 411, and 456, using air, in the Reynolds number range from 0 to 120. The Nusselt number for aiding flows can be adequately described by Nu tot – Nu 0 = (Nu n forced + Nu n free ) 1/n , with Nu 0 = 0.5, as originally proposed by Churchill for a free flat plate. For n, a value of 1.5–1.7 is found. For opposing flows in the mixed-flow region (0.1 h Gr/Re 2 S 10), flow visualization shows an oscillating buoyant plume around the flat plate. In the transition from free to mixed and to essentially forced convection, distinct sequences of instabilities of this plume are observed, leading to several local minima and maxima in the heat transfer from the plate. The results are summarized in a bifurcation diagram. Here, several windows with instabilities are found, both nonperiodic, with strong indications of chaotic behavior, and (quasi-) periodic. Typical fundamental frequencies of the instabilities range from 0.15 to 1 Hz. 相似文献
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The magnetic impacts upon the transport of heat and mass of an electrically conducting nanofluid within an annulus among an inner rhombus with convex and outer cavity with periodic temperature/concentration profiles on its left wall are assessed by the ISPH method. The right wall has ${T}_{c}$ and ${C}_{c},$ flat walls are adiabatic, and the temperature and concentration of the left wall are altered sinusoidally with time. The features of the heat and mass transfer and fluid flow through an annulus are assessed across a wide scale of Hartmann number $Ha,$ Soret number $Sr,$ oscillation amplitude $A,$ Dufour number $Du,$ nanoparticles parameter $\phi ,$ oscillation frequency $f,$ Rayleigh number $Ra,$ and radius of a superellipse $a$ at Lewis number $Le=20,$ magnetic field's angle $\gamma =45^\circ ,$ Prandtl number ${\Pr }=6.2,$ a superellipse coefficient $n=3/2,$ and buoyancy parameter $N=1.$ The results reveal that the velocity's maximum reduces by $70.93 \% $ as $Ha$ boosts from 0 to 50, and by $66.24 \% $ as coefficient $a$ boosts from $0.1$ to $0.4.$ Whilst the velocity's maximum augments by $83.04 \% $ as $Sr$ increases from 0.6 to 2 plus a decrease in $Du$ from 1 to 0.03. The oscillation amplitude $A,$ and frequency $f$ are significantly affecting the nanofluid speed, and heat and mass transfer inside an annulus. Increasing the parameters $A$ and $f$ is augmenting the values of mean Nusselt number $\overline{Nu}$ and mean Sherwood number $\overline{Sh}.$ Increasing the radius of a superellipse $a$ enhances the values of $\overline{Nu}$ and $\overline{Sh}.$ 相似文献
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We present measurements of the normalized charge transport or Nusselt number Nu as a function of the aspect ratio Gamma for turbulent convection in an electrically driven film. In analogy with turbulent Rayleigh-Bénard convection, we develop the relevant theoretical framework in which we discuss the local power-law scaling of Nu with a dimensionless electrical forcing parameter R. For these experiments where 10(4) less, similar R less, similar 2 x 10(5) we find that Nu approximately F(Gamma)Rgamma with either gamma=0.26 (+/-0.02) or gamma=0.20 (+/-0.03), in excellent agreement with the theoretical predictions of gamma=1/4 and 1/5. Our measurements of the aspect-ratio dependence of Nu for 0.3=Gamma=17 compares favorably with the function F(Gamma) from the scaling theory. 相似文献
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采用SIMPLE算法对二维流体力学基本方程组进行了数值模拟,研究了Poiseuille-Rayleigh-Bénard流动中对流斑图的分区、成长及水平流动对不同斑图特征物理量的影响.结果表明,上下临界雷诺数Re_u,Re_l将流动分成三个区域,即行波区、局部行波区、水平流区.Re_u和Re_l随着相对瑞利数r的增大而增大.在对流斑图的成长阶段,三种斑图随时间的成长过程是不同的,但对流圈都是从下游区开始成长;特征物理量随着时间的变化也是不同的,行波对流和局部行波对流的最大垂直流速wmax和努塞尔数Nu经过指数增长阶段后进入周期变化的稳定阶段;水平流斑图的w_(max)和Nu经过缓慢增长后又缓慢降到稳定值.三种斑图的w_(max)和Nu随雷诺数Re增大而减小,不同斑图区域有不同的变化规律.本文给出了Re_u和Re_l随r的变化关系式及不同斑图的w_(max)和Nu随着Re的变化关系式. 相似文献
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通过在格子Boltzmann (LBM)热模型中添加参数项,使得在对应的宏观传热方程中,消除了一阶非线性误差项,具备二阶精度.通过Rayleigh-Benard对流数值试算,初步探索该二阶精度格式及其对应的一阶精度格式三个热模型的传热特征和适应性,并做出相应对比分析.针对一二阶精度模型在Ra数极高或热传导系数极大时,Nu数的计算与经验值相比出现较大偏差,分析LBM对应宏观热传导方程的截断误差后,在平衡分布函数中引进一个调节因子.通过调节对应宏观传热方程的截断误差项系数,校正Nu数的计算偏差,提高模拟精度,拓展模拟范围,增强了LBM作为一个数值方法在传热中的适应性. 相似文献
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《Chinese Journal of Physics (Taipei)》2018,56(5):2155-2172
Double-diffusive natural convection in an inclined cavity with the presence of magnetic field is studied numerically via heatline and massline approach. The governing equations are discretized using the Lattice Boltzmann Method (LBM). In this investigation, the controlling parameters involved are Rayleigh number (103 ≤ Ra ≤ 105), buoyancy ratio (−5 ≤ N ≤ 5), cavity inclination angle (0° ≤ Ø ≤ 180°), Lewis number (2 ≤ Le ≤ 10), Prandtl number (Pr = 5.0) and Hartmann number (0 ≤ Ha ≤ 50). The numerical results obtained by the effect of parameters mentioned above are reported as contours of streamlines, isotherms, isoconcentrations, heatlines, and masslines. The obtained results are compared with the existing literature to validate the coding. The heat and mass transfer rate decrease with increasing the magnetic field and increase with an increase in Rayleigh number. The impact of Ø is maximum for higher Ra and negligible for lower Ra (103). Increasing Le influences the mass transfer rate to increase and heat transfer to reduce for both opposing and aiding flow. 相似文献
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We present an experimental study of turbulent Rayleigh-Bénard convection (RBC) in a cylindrical cell of height 0.3 m, diameter 0.3 m. It is designed to minimize the influence of its structure on the convective flow of cryogenic (4)He gas of Prandtl number Pr≈1, with the aim of resolving existing contradictions in Nusselt (Nu) versus Rayleigh number (Ra) scaling. For 7.2×10(6)≤Ra≤10(11) our data agree with suitably corrected data from similar cryogenic experiments and are consistent with Nu∝Ra(2/7). On approaching Ra≈10(11) our data display a crossover to Nu∝Ra(1/3) that approximately holds up to Ra=4.6×10(13); there is no sign of a transition to the ultimate Kraichnan regime. Differences in Nu(Ra) scaling observed in similar RBC experiments for Ra≥10(11) cannot be explained due to the difference in Pr, but seem to depend also on experimental details. 相似文献