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底部加热的两板之间水平流动进口段的研究
宁利中,张珂,宁碧波,胡彪,田伟利
西安理工大学
摘要:
采用二维流体力学基本方程组对普朗特数的具有水平流动的底部加热的两板之间的流动特性进行数值模拟。结果说明,对于给定相对瑞利数,随着雷诺数的增加,底部加热的两板之间依次出现定常对流滚动,均匀行波对流滚动,具有水平流动进口段的局部行波对流滚动及水平流动。对于相对瑞利数,在雷诺数的范围内,系统是局部行波对流滚动,存在水平流动进口段。随着雷诺数的增加,水平流动进口段长度增加。对于雷诺数,在相对瑞利数的范围内,两板之间是局部行波对流动滚动,出现水平流动进口段。随着相对瑞利数的增加,水平流动进口段长度减小。本文给出了进口段长度随着雷诺数或随着相对瑞利数变化的经验公式。
关键词:  水平流动  对流滚动  进口段长度  局部行波
DOI:
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基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目)
Study on Entrance Region of Horizontal Flow between Two Plates Heated from Below
Ning Lizhong1,2,3, zhang ke1,2,3, Ning Bibo1,2,3, Hu Biao1,2,3, Tian weili1,2,3
1.Xi'2.'3.an University of Technology
Abstract:
The flow characteristics between two plates heated from below with horizontal flows in the Prandtl number is numerically simulated by using two-dimensional basic equations of fluid mechanics.The results show that for a given reduced Rayleigh number, with the increase of Reynolds number, steady convective rolls,uniform traveling wave convective rolls,localized traveling wave convective rolls with the entrance region of horizontal flow,and horizontal flow occur successively between two plates heated at the bottom. System is localized traveling wave convection rolls, and exists the entrance region of horizontal flow in the range of Reynolds numberat the reduced Rayleigh number. The length of the entrance region of horizontal flow increases with the increase of Reynolds number. Localized traveling wave convection rolls occur between the two plates, resulting in the entrance region of horizontal flow in the range of reduced Rayleigh numberfor Reynolds number. The length of the entrance region of horizontal flow decreases with the increase of reduced Rayleigh number. In this paper, the empirical formulas of the length of the entrance region varying with Reynolds number or reduced Rayleigh number are given.
Key words:  horizontal flow, convection rolls,entrance region length,localized traveling wave
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