首页> 外文期刊>International Journal of Heat and Mass Transfer >Bifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-section
【24h】

Bifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-section

机译:方形截面旋转弯管中自由对流和强制对流组合的分叉与稳定性

获取原文
获取原文并翻译 | 示例
           

摘要

A numerical study is made on fully developed bifurcation structure and stability of combined free and forced convection in a rotating curved duct of square cross-section. The solution structure is determined as the variation of a parameter indicating the magnitude of buoyancy force. Steady solution structure is very complicated. Flow and temperature fields on various solution branches are identified to be symmetric/asymmetric multi-cell patterns. Dynamic responses of multiple solutions to finite random disturbances are examined by direct transient computation. Five types of physically realizable solutions are identified numerically. They are stable steady 2-cell solution, stable steady multi-cell solution, periodic oscillation, chaotic oscillation and symmetry-breaking oscillation led by sub-harmonic bifurcation (period doubling). Among them, three kinds of stable steady solutions are found to co-exist within a range of parameters. In addition, temporal periodic and chaotic oscillations can also co-exist in another range of parameters. Furthermore, sub-harmonic bifurcation is identified to be another route to chaos. Spectral analysis is used to demonstrate the presence of additional frequencies for the case of sub-harmonic bifurcations. Results show that symmetry-breaking oscillation driven by sub-harmonic bifurcations appear to be identical with the mode observed in Lipps [J. Fluid Mech. 75 (1976) 113], McLaughlin and Orszag [J. Fluid Mech. 122 (1982) 123], and Gollub and Benson [J. Fluid Mech. 100 (1980) 449] for problem of free convection between flat horizontal plates.
机译:对充分发展的分叉结构以及方形截面旋转弯管中自由对流和强迫对流组合的稳定性进行了数值研究。确定溶液结构为指示浮力大小的参数的变化。稳定的解决方案结构非常复杂。各个解决方案分支上的流场和温度场被识别为对称/不对称的多单元模式。通过直接瞬态计算检查了多种解决方案对有限随机扰动的动态响应。从数字上识别出五种可物理实现的解决方案。它们是由次谐波分叉(周期加倍)引起的稳定的稳定2单元解,稳定的稳定多单元解,周期振动,混沌振动和对称破坏振动。其中,发现在参数范围内共存在三种稳定的稳定解。另外,时间周期性和混沌振荡也可以共存于另一范围的参数中。此外,次谐波分叉被认为是导致混乱的另一条途径。频谱分析用于证明在次谐波分叉情况下存在附加频率。结果表明,由次谐波分叉驱动的对称破坏振荡似乎与在Lipps中观察到的模式相同。流体机械。 75(1976)113],McLaughlin和Orszag [J.流体机械。 122(1982)123]和Gollub and Benson [J.流体机械。 100(1980)449]解决了水平平板之间的自由对流问题。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号