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Optimization of Mixed convection in a lid-driven porous square cavity with internal elliptic shape adiabatic block and linearly heated side walls

机译:内部椭圆形绝热块和线性加热侧壁在盖子多孔方形腔中混合对流的优化

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The physical model considered here is a lid-driven porous square cavity with internal elliptic shape adiabatic block and linearly heated side walls. The top moving wall is well cold and set with uniform velocity. The bottom moving wall heated, linearly heated side walls and inside the elliptic shape adiabatic. The relevant parameters in the present study are Darcy number Da = 10~(-5)-10~(-3), Grashof number Gr = 10~3-10~5, Reynolds number Re = 1-10~2 and Prandtl number Pr = 0.7. The isotherms are also almost symmetric at small Re with higher Gr (Gr = 10~5) and Da (Da = 10~(-3)) and natural convection is found to be dominant whereas the isotherms are compressed near the left and bottom walls at higher Re for linearly heated side walls. The solution of these governing equations is obtained numerically with the finite element approach using the Galerkin method of weighted residuals. Results are presented in the form of streamlines, isotherms, Local Nusselt number, average Nusselt number, velocity and temperature for the afore mentioned parameters. The numerical results indicate the strong influence of the mentioned parameters on the flow structure and heat transfer as well as average Nusselt number. An optimum combination of the governing parameters would result in higher heat transfer.
机译:这里考虑的物理模型是盖子驱动的多孔方形腔,其内部椭圆形绝热块和线性加热的侧壁。顶部移动墙很冷,速度均匀。底部移动壁加热,线性加热的侧壁和椭圆形状绝热。本研究中的相关参数是达西数DA = 10〜(-5)-10〜(-3),GRASHOF编号GR = 10〜3-10〜5,雷诺数RE = 1-10〜2和PRANDTL编号pr = 0.7。等温线在小RE上几乎对称,具有更高的GR(GR = 10〜5)和DA(DA = 10〜(-3))和自然对流被发现占主导地位,而等温机构在左侧和底壁附近被压缩在较高的RE上用于线性加热的侧壁。使用加权残留的Galerkin方法用有限元方法来数量地获得这些控制方程的解决方案。结果以精简,等温线,局部露珠数,平均衬布数,速度和温度的形式提出,对上述参数的形式。数值结果表明所提到的参数对流动结构和传热以及平均营养数的强烈影响。控制参数的最佳组合将导致较高的传热。

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