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首页> 外文会议>ASME Joint US-European Fluids Engineering Division summer meeting;FEDSM2010 >FLOW INSTABILITIES AND HEAT TRANSFER IN BUOYANCY DRIVEN FLOWS OF INELASTIC NON-NEWTONIAN FLUIDS IN INCLINED RECTANGULAR CAVITIES
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FLOW INSTABILITIES AND HEAT TRANSFER IN BUOYANCY DRIVEN FLOWS OF INELASTIC NON-NEWTONIAN FLUIDS IN INCLINED RECTANGULAR CAVITIES

机译：倾斜矩形腔中非弹性非牛顿流体浮力驱动流动的流动不稳定性和传热

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摘要

Steady two-dimensional natural convection in rectangular two dimensional cavities filled with non-Newtonian power law-Boussinesq fluids is numerically investigated. The conservation equations of mass, momentum and energy are solved using the finite volume method for varying inclination angles between 0 and 90 and two cavity height based Rayleigh numbers, /Ja=104 and 105, a Prandtl number of Pr = 102 and two cavity aspect ratios of 1, 4. For the vertical inclination of 90 , computations were performed for two Rayleigh numbers Ra=04 and 105and three Prandtl numbers of Pr = 102, 103 and 104. In all of the numerical experiments, the channel is heated from below and cooled from the top with insulated side-walls and the inclination angle is varied. A comprehensive comparison between the Newtonian and the non-Newtonian cases is presented based on the dependence of the average Nusselt number Nu on the angle of inclination together with the Rayleigh number, Prandtl number, power law index n and aspect ratio dependent flow configurations which undergo several exchange of stability as the angle of inclination 0 is gradually increased from the horizontal resulting in a rather sudden drop in the heat transfer rate triggered by the last loss of stability and transition to a single cell configuration. Despite significant differences in the heat transfer rate and flow configurations both Newtonian and non-Newtonian fluids of the power law type exhibit qualitatively similar behavior.
机译：数值研究了充满非牛顿幂律-Boussinesq流体的矩形二维空腔中的稳态二维自然对流。使用有限体积方法求解质量，动量和能量的守恒方程，以在0和90之间改变倾角，并基于两个腔高的瑞利数/ Ja = 104和105，Prandtl数Pr = 102和两个腔长宽比比率为1、4。对于90°的垂直倾斜度，对两个Rayleigh数Ra = \ 04和105和三个Prandtl数Pr = 102、103和104进行了计算。在所有数值实验中，从在下方并从顶部通过隔热侧壁进行冷却，并且倾斜角度有所变化。基于平均努塞尔特数Nu对倾角的依赖性以及瑞利数，普朗特数，幂律指数n和纵横比相关的流动构型，对牛顿和非牛顿情况进行了全面比较。随着倾斜角0从水平方向逐渐增加，稳定性的几次交换会导致传热速率的突然下降，这是由最后一次失去稳定性而导致的传热速率突然下降，并转变为单电池配置。尽管传热速率和流动配置存在显着差异，幂律类型的牛顿流体和非牛顿流体都在质量上表现出相似的行为。

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