化学反应和扩散引起的沿垂直平板层流自然对流的相似性解  

Similarity solution for laminar natural convection flow along a vertical flat plate caused by chemical diffusion and reaction

作　　者：王玉芝[1] 许学谘[1] 

机构地区：[1]浙江大学工程力学系

出　　处：《浙江大学学报（自然科学版）》1993年第5期663-672,共10页

基　　金：浙江省自然科学基金项目

摘　　要：本文应用无限小变换群理论,证明在壁面浓度与环境浓度之差,按x^(1/(3-2n))变化时,由于化学反应和扩散引起的沿垂直平板的定常层流自然对流是存在相似性解的。对相似性方程组在参数Sc=0.01,0.05,0.20,0.40,0.72;n=0,1.0,2.0;Q=0.5,1.0,2.0下,用Runge—Kutta方法进行了求解,得到了物理量随各参数变化的规律。In this paper, We applying infinitesimal form of the transformation groups theory, the ex-istance of Similarity Solutions for steady laminar natural convection flow caused by cheimical diffusion and reaction along a vertical flat plate is presented and proved, While conventration difference between the wall & surroundmg varies in accordance with x1/(3-2a). Furthermore, using Runge-Kutta method we solved similarity equations to obtain varying regularity of physical quantites with parameters at Sc = 0. 01,0. 05,0. 20,0. 40,0. 72;n = 0,1,2 and Q = 0. 5,1.0,2.0.

关 键 词：自然对流 群论 相似性解 

分 类 号：O152.9[理学—数学]