在没有质量扩散和化学反应时,水平平板上的混合对流边界层流动已有多位作者进行了研究。文献指出,若壁面温度分布随x<sup>-1/2</sup>变化时,相似性解是存在的。此类问题Schnei-der、de Hoog et al.、Afzal and Hussain和 Me...在没有质量扩散和化学反应时,水平平板上的混合对流边界层流动已有多位作者进行了研究。文献指出,若壁面温度分布随x<sup>-1/2</sup>变化时,相似性解是存在的。此类问题Schnei-der、de Hoog et al.、Afzal and Hussain和 Merkin and Inghan也先后进行了研究和讨论。 本文对由热、质量扩散和化学反应引起的水平平板上的混合对流定常层流边界层流动进行了相似性分析,得到了一组常微分方程,在Pr= 0.72和不同的Sc、K1、K2、k3下进行了数值求解,给出了相应的速度、温度和浓度分布曲线。展开更多
This study is focused on a steady dissipative layer, which is generated by Marangoni convection flow over the surface resulted from an imposed temperature gradient, coupled with buoyancy effects due to gravity and ext...This study is focused on a steady dissipative layer, which is generated by Marangoni convection flow over the surface resulted from an imposed temperature gradient, coupled with buoyancy effects due to gravity and external pressure. A model is proposed with Marangoni condition in the boundary conditions at the interface. The similarity equations are determined and approximate analytical solutions are obtained by an efficient transformation, asymptotic expansion and Padé approximant technique. For the cases that buoyancy force is favorable or unfavor-able to Marangoni flow, the features of flow and temperature fields are investigated in terms of Marangoni mixed convection parameter and Prantl number.展开更多
文摘在没有质量扩散和化学反应时,水平平板上的混合对流边界层流动已有多位作者进行了研究。文献指出,若壁面温度分布随x<sup>-1/2</sup>变化时,相似性解是存在的。此类问题Schnei-der、de Hoog et al.、Afzal and Hussain和 Merkin and Inghan也先后进行了研究和讨论。 本文对由热、质量扩散和化学反应引起的水平平板上的混合对流定常层流边界层流动进行了相似性分析,得到了一组常微分方程,在Pr= 0.72和不同的Sc、K1、K2、k3下进行了数值求解,给出了相应的速度、温度和浓度分布曲线。
基金Supported by the National Natural Science Foundation of China(21206009)Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality(PHR201107123)Program for Doctoral Fund in Beijing University of Civil Engineering and Architecture(101102307)
文摘This study is focused on a steady dissipative layer, which is generated by Marangoni convection flow over the surface resulted from an imposed temperature gradient, coupled with buoyancy effects due to gravity and external pressure. A model is proposed with Marangoni condition in the boundary conditions at the interface. The similarity equations are determined and approximate analytical solutions are obtained by an efficient transformation, asymptotic expansion and Padé approximant technique. For the cases that buoyancy force is favorable or unfavor-able to Marangoni flow, the features of flow and temperature fields are investigated in terms of Marangoni mixed convection parameter and Prantl number.
