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首页> 外文期刊>International Journal of Heat and Mass Transfer >Effects of inclination angle on mixed convective nanofluid flow in a double lid-driven cavity with discrete heat sources
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Effects of inclination angle on mixed convective nanofluid flow in a double lid-driven cavity with discrete heat sources

机译：倾斜角对离散热源双盖驱动腔内混合对流纳米流体流动的影响

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摘要

In the present study, numerical simulations are performed to examine the effect of inclination angle on the heat transfer of Al_2O_3-water nanofluid for mixed convection flows in a partially heated double lid driven inclined cavity. At the lower wall of the cavity, two heat sources are fixed with the condition that the remaining part of the bottom wall is kept insulated. Top wall and vertically moving walls are maintained at constant cold temperature. Buoyant force is responsible for the flow along with two moving vertical walls. The governing equations are discretized with the help of finite element method in space and the Crank-Nicolson in time. For the spatial discretization, nonconforming Stokes element Q_1/Q_0 of 2nd order accuracy for velocity, temperature and 1st order accuracy for pressure is utilized. The discretized nonlinear systems of equations are treated by using the Newton method and the associated linear subproblems are solved using Gaussian elimination method in each time level. Numerical results are presented and analyzed by means of streamlines, isotherms, tables and some useful plots. Impact of emerging parameters on the flow, in specific ranges such as Reynolds number (1 ≤ Re ≤ 100), Richardson number (0.01 ≤ Ri ≤ 10), nanoparticle volume fraction (0 ≤ ø ≤ 0.04) as well as inclination angle of cavity (0° ≤ γ ≤ 45°) are investigated and findings are exactly of the same order as that of the previously performed analysis in the literature. Calculations of average Nusselt number, average temperature, average entropy generation due to heat transfer and fluid friction and kinetic energy are the main focus of our study.
机译：在本研究中，进行了数值模拟，以检验倾斜角对部分加热的双盖驱动倾斜腔中混合对流的Al_2O_3-水纳米流体传热的影响。在空腔的下壁处，固定两个热源，条件是底壁的其余部分保持绝缘。顶壁和垂直移动的壁保持恒定的低温。浮力负责与两个移动的垂直壁一起流动。借助空间有限元法和及时的Crank-Nicolson离散控制方程。对于空间离散化，利用速度，温度的二阶精度和压力的一阶精度的不合格斯托克斯元素Q_1 / Q_0。使用牛顿法处理离散的非线性方程组，并在每个时间级别使用高斯消去法解决相关的线性子问题。通过流线图，等温线，表格和一些有用的图表来显示和分析数值结果。新出现的参数对流动的影响在特定范围内，例如雷诺数（1≤Re≤100），理查森数（0.01≤Ri≤10），纳米颗粒体积分数（0≤ø≤0.04）以及腔体的倾斜角度（0°≤γ≤45°）进行了研究，其发现与文献中先前进行的分析完全相同。计算平均努塞尔数，平均温度，由于传热，流体摩擦和动能产生的平均熵是我们研究的重点。

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