H. Alahmadi, A. Rauf, T. Mushtaq, N. Tanveer, M. Omar, S. A. Shehzad
{"title":"Time-dependent double phase dusty fluid flow over an oscillatory rotating disk","authors":"H. Alahmadi, A. Rauf, T. Mushtaq, N. Tanveer, M. Omar, S. A. Shehzad","doi":"10.1002/htj.22996","DOIUrl":null,"url":null,"abstract":"<p>The dispersion of solid particles in a viscous fluid leads to a two-phase flow nature. The present study incorporates the time-dependent three-dimensional dusty fluid flow generated by a periodically oscillatory rotating disk. The disk is stretchable along the radial axis with time-based sinusoidal fluctuations. The governing incompressible flow equations for two-phase equilibrium are normalized in the form of similarity systems consisting of the fluid stage and dust phase. The whole normalized system reduces to the familiar Von Kármán similarity system for the flow configuration of rotating disk by removing the dust phase and periodic oscillations of the disk. The two-phase flow model is then numerically solved by a built-in method namely “pdsolve” in Maple built program. The graphical aspects of the obtained physical parameters on velocity and thermal fields of the dust particle stage are investigated to show how the oscillatory disk contributes to the dusty flow features. The wall shears and thermal rates of the fluid and dust particles are also calculated in limiting case of disk rotation. It is observed that in time-based flow, the oscillatory profiles preserve a phase shifting phenomenon. For centrifugal forces, the particle cloud moves away from the surface along a tangential direction. The thermal field is reduced by the dust particle stages.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":null,"pages":null},"PeriodicalIF":2.8000,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Heat Transfer","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/htj.22996","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"THERMODYNAMICS","Score":null,"Total":0}
引用次数: 0
Abstract
The dispersion of solid particles in a viscous fluid leads to a two-phase flow nature. The present study incorporates the time-dependent three-dimensional dusty fluid flow generated by a periodically oscillatory rotating disk. The disk is stretchable along the radial axis with time-based sinusoidal fluctuations. The governing incompressible flow equations for two-phase equilibrium are normalized in the form of similarity systems consisting of the fluid stage and dust phase. The whole normalized system reduces to the familiar Von Kármán similarity system for the flow configuration of rotating disk by removing the dust phase and periodic oscillations of the disk. The two-phase flow model is then numerically solved by a built-in method namely “pdsolve” in Maple built program. The graphical aspects of the obtained physical parameters on velocity and thermal fields of the dust particle stage are investigated to show how the oscillatory disk contributes to the dusty flow features. The wall shears and thermal rates of the fluid and dust particles are also calculated in limiting case of disk rotation. It is observed that in time-based flow, the oscillatory profiles preserve a phase shifting phenomenon. For centrifugal forces, the particle cloud moves away from the surface along a tangential direction. The thermal field is reduced by the dust particle stages.
固体颗粒在粘性流体中的分散会导致两相流性质。本研究结合了周期性振荡旋转圆盘产生的随时间变化的三维含尘流体流动。圆盘可沿径向轴伸展,并伴有基于时间的正弦波动。两相平衡的不可压缩流动方程被归一化为由流体阶段和尘埃阶段组成的相似性系统。通过去除尘埃阶段和圆盘的周期性振荡,整个归一化系统简化为我们熟悉的旋转圆盘流动配置的冯-卡曼相似系统。然后,利用 Maple 内置程序中的 "pdsolve "方法对两相流动模型进行数值求解。研究了所获得的物理参数对尘埃粒子阶段的速度场和热场的影响,从图形方面展示了振荡圆盘对尘埃流特征的影响。还计算了圆盘旋转极限情况下流体和尘埃粒子的壁面剪切和热率。结果表明,在基于时间的流动中,振荡剖面保留了相移现象。在离心力作用下,颗粒云沿切线方向远离表面。尘埃粒子阶段减少了热场。