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Effect of dispersion on thermally stable stratified power-law fluids over the vertical frustum of a cone in a non-Darcy porous medium: Flow separation

机译:在非达西多孔介质中对锥形垂直截头的热稳定分层动力法流体的影响:流动分离

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摘要

The present problem shares out the influences of con-vective heating and thermal dispersion on thermally stable stratified power-law fluid flow over the vertical frustum of a cone situated in a non-Darcy porous medium. For the first time, it is considered in both aiding and opposing flow cases as it is readily applicable in realistic, practical situations. The local nonsimilarity approach, along with the spectral local linearization method, is used to analyze the fluid behavior and heat transfer within the boundary layer region. In addition, error analysis and comparison with the existing results are also included to validate the obtained results wherever feasible. It is significant to perceive the existence of flow separation in this study as more gain of the velocity of a power-law fluid is seen for aiding flow case in comparison with the opposing flow case. Also, it is evident from these results that the separation of flow is less in the presence of thermal stratification, but it is more in the absence of thermal stratification. Finally, thermal stratification significantly affects the heat transfer rate of power-law fluids besides delaying the boundary layer separation.
机译:本问题分享了对位于非达西多孔介质中的锥体垂直截头上的热稳定分层动力法流体对热稳定分层的热分散的影响。这是第一次,它被认为是辅助和相反的流箱,因为它很容易适用于现实的实际情况。本地非纤维化方法以及光谱局部线性化方法用于分析边界层区域内的流体行为和传热。此外,还包括误差分析和与现有结果的比较,以验证可行的可行结果。显着意识到该研究中的流动分离的存在,随着与相对的流动壳体相比,可以看到电力 - 法流体的速度的增加的增加。此外,从这些结果中显而易见的是,在热分层的存在下,流动的分离较小,但在没有热分层的情况下更大。最后,除了延迟边界层分离之外,热分层显着影响了动力法流体的传热速率。

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