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首页> 外文期刊>International Journal of Heat and Mass Transfer >The effects of bottom wall heating on mixed convection of yield stress fluids in cylindrical enclosures with a rotating end wall
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The effects of bottom wall heating on mixed convection of yield stress fluids in cylindrical enclosures with a rotating end wall

机译：底壁加热对端壁旋转的圆筒形壳体中屈服应力流体混合对流的影响

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摘要

Steady-state laminar mixed convection of Bingham fluids in cylindrical enclosures with a rotating top cover has been numerically analysed for the configuration where the bottom cover is kept at a higher temperature than the rotating top cover. The numerical investigations have been carried out based on steady-state axisymmetric incompressible flow simulations for a range of different values Reynolds, Richardson, and Prandtl number given by500⩽Re⩽3000,0⩽Ri⩽1and10⩽Pr⩽500respectively. The aspect ratio (i.e. height: radius = AR = H/R) of the cylindrical container is considered to be unity (i.e.AR = H/R = 1). The mean Nusselt numberNu‾has been found to decrease sharply with increasingBnowing to flow resistance arising from yield stress, but subsequentlyNu‾asymptotically approaches a value of unity, which is indicative of a conduction-driven transport. In addition, the mean Nusselt numberNu‾has been found to increase with increasing Reynolds number due to the strengthening of advective transport. However, the mean Nusselt numberNu‾exhibits a non-monotonic trend (i.e. increases with increasingRifor small values of Richardson number before showing a weak decreasing trend) with increasingRifor Newtonian fluid (i.e.Bn=0), whereasNu‾increases with increasingRifor small values of Richardson number before becoming a weak function ofRifor Bingham fluids. A step change in the mean Nusselt number has also been observed with an increase in Richardson number for some Bingham number values due to a change in flow pattern. The influences of Prandtl, Reynolds, Richardson, and Bingham numbers on the mean Nusselt number have been explained in detail based on both physical and scaling arguments. The simulation data and scaling relations have been utilised to propose a correlation for the mean Nusselt number, which has been shown to capture the numerical findings satisfactorily for the parameter range considered here.
机译：对于具有旋转顶盖的圆柱形外壳中的宾厄姆流体的稳态层流混合对流，已经进行了数值分析，以了解底盖保持在比旋转顶盖更高的温度下的构造。基于稳态轴对称不可压缩流模拟，分别对500ynRe⩽3000、0⩽Ri⩽1和10⩽Pr⩽500给出的一系列不同值的雷诺兹，理查森和普朗特数值进行了数值研究。圆柱形容器的长宽比（即高度：半径＝ AR ＝ H / R）被认为是统一的（即AR ＝ H / R ＝ 1）。人们发现，随着屈服应力引起的流阻的增加，平均努塞尔特数Nu to急剧下降，但随后Nu‾渐近地趋近于一个统一的值，这表示传导驱动的传输。另外，由于对流输运的增强，平均努塞尔数NuN随着雷诺数的增加而增加。但是，平均努塞尔特数Nu‾表现出一个非单调趋势（即，在较小的Richardson数之前，随着Ri的小值Ri增加，然后显示出弱的下降趋势），随牛顿流体的Ri的增加（即Bn = 0）而增加，而对于Richardson的小值，Nu‾随Ri的增加而增加。 Rifor Bingham流体的弱函数之前的数值。由于流型的变化，一些宾厄姆数值的Richardson数也随着Nusselt平均数的阶跃变化而变化。已根据物理和比例论证详细解释了Prandtl，Reynolds，Richardson和Bingham数对平均Nusselt数的影响。仿真数据和比例关系已被用来提出平均努塞尔数的相关性，已证明该函数可令人满意地捕获此处考虑的参数范围内的数值发现。

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