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平面等温对撞射流中分岔现象的研究
Bifurcation analysis of laminar isothermal planar opposed-jet flow
【Author】 LIU Shuang;WANG Bofu;WAN Zhenhua;SUN De-jun;Department of Modern Mechanics,University of Science and Technology of China;Shanghai Institute of Applied Mathematics and Mechanics;
【机构】 中国科学技术大学近代力学系; 上海大学上海市应用数学与力学研究所;
【摘要】 通过数值分岔分析的方法对射流速度相等的平面等温对撞射流进行了研究,射流入口宽度和入口间距之比α固定为0.25。前人的研究发现在该构型中,随着Reynolds数(Re,基于射流速度和入口宽度)的增加,对称的基本流态将失稳并经过超临界pitchfork分岔产生一对不对称的定常流态。在此基础上,在更高Re区间发现了新的分岔过程,包括3个一次分岔和1个二次分岔,并发现了新的流态。
【Abstract】 Planar laminar isothermal opposed-jet flow with identical velocity amplitude at two inlets are investigated by numerical bifurcation analysis.Geometric aspect ratio α=D~*/W~*(D~*is the width of inlet and W~* the distance between two inlets) is fixed at 0.25.Previous studies have found that in this configuration(α=0.25),as Reynolds number(Re,based on the velocity amplitude of inflow and width of inlet) increases symmetric basic flow will undergo a symmetry-breaking pitchfork bifurcation and give rise to a new flow pattern whose up-down symmetry is broken.In this paper it is found that,at higher Re,another three primary bifurcations and one secondary bifurcation happen,after which various new flow patterns appear.
【Key words】 opposed-jet flow; bifurcation analysis; hydrodynamic stability;
- 【会议录名称】 第二十七届全国水动力学研讨会文集(上册)
- 【会议名称】第二十七届全国水动力学研讨会
- 【会议时间】2015-11-06
- 【会议地点】中国江苏南京
- 【分类号】O358
- 【主办单位】《水动力学研究与进展》编委会、中国力学学会、中国造船工程学会、河海大学