河南科学
河南科學
하남과학
HENAN SCIENCE
2013年
12期
2105-2107
,共3页
边界层%Adomian拆分%近似解
邊界層%Adomian拆分%近似解
변계층%Adomian탁분%근사해
boundary layer%Adomian decomposition method%approximate solution
对连续运动平板边界层问题进行了研究,其中平板以线性速度运动。通过引入适当的相似变换和Crocco变量变换技巧,将原边界层方程转化为一类奇异非线性两点边界值问题。利用Adomian拆分法给出了方程的近似解和壁摩擦力的近似值,并给出了壁摩擦力的数值解,近似解的可靠性被数值解所证明,也说明了我们所用方法的可靠性和有效性。
對連續運動平闆邊界層問題進行瞭研究,其中平闆以線性速度運動。通過引入適噹的相似變換和Crocco變量變換技巧,將原邊界層方程轉化為一類奇異非線性兩點邊界值問題。利用Adomian拆分法給齣瞭方程的近似解和壁摩抆力的近似值,併給齣瞭壁摩抆力的數值解,近似解的可靠性被數值解所證明,也說明瞭我們所用方法的可靠性和有效性。
대련속운동평판변계층문제진행료연구,기중평판이선성속도운동。통과인입괄당적상사변환화Crocco변량변환기교,장원변계층방정전화위일류기이비선성량점변계치문제。이용Adomian탁분법급출료방정적근사해화벽마찰력적근사치,병급출료벽마찰력적수치해,근사해적가고성피수치해소증명,야설명료아문소용방법적가고성화유효성。
A continuous moving flat boundary layer problems with a linear velocity distribution are studied. Boundary layer equations are changed into a class of singular nonlinear two-point boundary value problems by introducing appropriate similarity transformation and Crocco transformation technique. Approximate solution of equations and approximation of the skin friction are obtained using Adomian decomposition method,and numerical solution of the skin friction is given. The reliability of the approximate solution is verified using numerical solution. It shows the reliability and effinivence of the method that we used.