The Effect of Environmental Temperature on Flow Instability of Natural Convection Between Two Vertical Infinite Parallel Plates

• Main Authors: Duo-Ching Liu, 劉多慶
• Other Authors: Yaw-Dong Shih
• Format: Others
• Language: en_US
• Published: 1999
• Online Access: http://ndltd.ncl.edu.tw/handle/52417257603614028620

碩士 === 大同工學院 === 機械工程研究所 === 87 === This thesis presents the analysis on flow instability of natural convection between two vertical infinite parallel differentially heated plates. Assuming Prandtl number to be 1, Pr=1, central difference structure of finite difference method is adopted to rewrite at each interior grid point the associated Orr-Sommerfeld equation into two difference equations which are composed by two functions ■ and ■. Subsequently, the difference equations are expressed in matrix form and the boundary conditions of ■ and ■ are applied at end points to obtain the neutral linear stability curves for various environmental temperatures. As a result, the critical Grashof number and the absolute value of critical wave number increase as the environmental temperature rises, while the critical wave velocity decreases as the environmental temperature rises.