倾角对倾斜腔体对流的影响  

Influence of inclined angle on convection in an inclined cavity

作　　者：宁利中[1] 张迪 宁碧波[2] 吴昊[1] 田伟利[3] NING Li-zhong;ZHANG Di;NING Bi-bo;WU Hao;TIAN Wei-li(Faculty of Water Resources and Hydro-electric Engineering,Xi’an University of Technology,Xi’an 710048,China;College of Civil Engineering and Architecture,Jiaxing University,Jiaxing 314001,China;Department of Architecture,Shanghai University,Shanghai 200444,China)

机构地区：[1]西安理工大学水利水电学院,西安710048 [2]嘉兴学院建筑工程学院,嘉兴314001 [3]上海大学建筑系,上海200444

出　　处：《水动力学研究与进展（A辑）》2020年第4期526-531,共6页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金项目(10872164);西北旱区生态水利国家重点实验室基金项目(2017ZZKT-2)。

摘　　要：为了研究倾斜腔体中普朗特数Pr(28)0.0272的流体倾角对对流的影响,利用SIMPLE算法数值求解了流体力学方程组。结果说明,相对瑞利数r=6.0情况下,当倾角θ=10°时系统由最初的单圈型对流随着时间发展成密实的多圈型对流。当倾角θ=60°时系统由最初的单圈型对流随着时间发展成疏松的多圈型对流。对流稳定时间取决于最大垂直流速wmax的变化。对于不同的倾角,r=6.0时,密实的多圈型对流过渡到疏松的多圈型对流的分界点为qc=30°。对应于上述两种斑图,特征物理量分为具有不同特性的两段,它的分界点为qc=27°。因此,对于该文的流体,斑图的转变滞后于特征物理量的转变。在θ-r平面上,对流分为两个区域,q(27)qc时系统是密实的多圈型对流,q(29)qc时系统是疏松的多圈型对流。该文还建议了临界倾角qc随着r变化的关系曲线。In order to study the effect of the inclined angle of the fluid at the Prandtl number Pr(28)0.0272 in inclined cavity on convection,the SIMPLE algorithm is used to solve numerically the equations of fluid mechanics.The results show that for reduced Rayleigh number r(28)6.0,and the inclination angle q(28)10°,the system develops from initial convection with single roll to dense convection with multi rolls with time.At the inclination angle q(28)60°,the system develops from the initial convection with single roll to the loose convection with multi rolls with time.The time of convective stabilization depends on the variation of maximum vertical velocity wmax.For different inclination angles at r(28)6.0,a critical point in transition from the dense convection with multi rolls to the loose convection with multi rolls is about qc(28)30°.Corresponding to the above two patterns,the characteristic physical quantity is divided into two segments with different characteristics,and its dividing point is qc(28)27°.Therefore,for the fluid mentioned by the paper,the transformation of the pattern is lagged behind the transformation of the characteristic physical quantity.Convection is divided into two regions on the plane q-r.At q(27)qc,system is the dense convection with multi rolls,and system is the loose convection with multi rolls at q(29)qc.The relationship between the critical inclination angle qc and r is also suggested.

关 键 词：倾斜腔体 密实的多圈型对流 疏松的多圈型对流 临界倾角 

分 类 号：O357[理学—流体力学]