本文用有限体积法的QUICK格式研究了倾斜矩形区域内二维自由对流不可压缩流动的传热传质问题，其中Rayleigh数在$10^4 \le Ra \le 10^6$范围内，Prandtl数为$Pr=7.2$，Lewis数为$Le=1$。对于速度分量采用无滑移壁面边界条件，对于温度和浓度分量采用Neumann边界条件。我们使用QUICK格式离散控制方程以及在本问题中选择的边界条件。采用SIMPLE算法计算了在上述范围内不同Rayleigh数下的流动变量、$U$ -速度、$V$ -速度、压力、温度和浓度以及局部和平均Nusselt数和Sherwood数的数值解。我们的数值解$U$ -速度沿垂直线通过几何中心已与基准解决方案在文献中提供的$λ=15^{\circ},\, Ra=10^4,\, Pr=7.2$，和$Le=1$，它已被发现，它是在良好的协议。压力随着倾斜角度的增加而增加。当倾角从$λ=15^{\circ}$增大到$λ=45^{\circ}$时，在畴中心附近流线的强度减小，在畴中心的顶部和底部形成次级胞。随着瑞利数从$10^4$增加到$10^6$，平均努塞尔数对于$λ=15^{\circ}$减小，并且对于$λ=45^{\circ}$减小然后增大，而平均舍伍德数对于$λ=15^{\circ}$增大，并且对于$λ=45^{\circ}$减小。
英文摘要：
In this paper, we have used the QUICK scheme of the finite volume method to investigate the problem of steady 2-D free convective incompressible flow with heat and mass transfer in an inclined rectangular domain at different Rayleigh numbers in the range of $10^4 \le Ra \le 10^6$, for Prandtl number $Pr=7.2$, and Lewis number $Le=1$. We have used no-slip wall boundary conditions for the components of velocity and Neumann boundary conditions for temperature and concentration. We have used the QUICK scheme to discretize the governing equations along with the boundary conditions chosen in the present problem. The SIMPLE algorithm is adopted to compute the numerical solutions of flow variables, $U$-velocity, $V$-velocity, pressure, temperature, and concentration as well as the local and average Nusselt and Sherwood numbers at different Rayleigh numbers in the range mentioned above. Our numerical solutions for $U$-velocity along the vertical line through the geometric center has been compared with benchmark solutions available in the literature for $λ=15^{\circ},\, Ra=10^4,\, Pr=7.2$, and $Le=1$ and it has been found that it is in the good agreement. Pressure increases with increasing the angles of inclination. When the angles of inclination increase from $λ=15^{\circ}$ to $λ=45^{\circ}$, the intensity of streamlines decreases near the center and secondary cells are formed at the top and bottom of the center of the domain. As the Rayleigh number is increased from $10^4$ to $10^6$, the average Nusselt number is decreased for $λ=15^{\circ}$, and decreases and then increases for $λ=45^{\circ}$, whereas, the average Sherwood number increases for $λ=15^{\circ}$ and decreases for $λ=45^{\circ}$.
Convective scalar transport from spherical drops in complex shearing flows
Robert Frederick Smith School of Chemical and Biomolecular Engineering, Cornell University（康奈尔大学罗伯特·弗雷德里克·史密斯化学与生物分子工程学院）；Jawaharlal Nehru Centre for Advanced Scientific Research（贾瓦哈拉尔·尼赫鲁高级科学研究中心）
Interaction of Vertical Convection with an Electromagnetically Forced Flow
分析了低普朗特数流体（$Pr=0.029$）在一侧加热、另一侧冷却的封闭矩形腔（$100\times60\times10$ mm $^3$）中的热量和动量传递。进入液态金属的电磁力由行进磁场感应器产生，并指向浮力。采用从$1.9\cdot 10^5$到$7.6\cdot 10^7$的Grashof数$Gr$和从$2.6\cdot 10^4$到$2.6\cdot10^6$的电磁强迫参数$F$进行大涡模拟。用GaInSn合金对垂直对流和电磁驱动流的模拟结果进行了实验验证。对于不同的相互作用参数$ N = F / Gr $，得到了三种类型的流动模式：逆时针流动，顺时针流动，和两个涡共存。雷诺数分析表明，从自然对流到电磁搅拌的过渡区位于$0.02<F/Gr<0.07$范围内，存在两种制动模式，$ F / Gr $在1.等温线变形的分析表明，在这样的对流系统中，它是可能的，以实现最小偏差的等温线形状从一条直线的范围内的$ 0.05 <F/Gr <0.2 $。
