摘要
采用解析方法研究了上随体 Maxwell流体管内非定常流动问题 ,指出了该问题可归结为一个高阶非线性偏微分方程的求解问题 .利用 Chebyshev多项式的不同项数为基底的谱方法成功地将偏微分方程化为常微分方程组问题来处理 ,然后用 L
In the present investigation the unsteady flow of upperconvected Maxwell fluid in a horizontal circular pipe is studied by spectral method. The unsteady is mathematically reduced to a partial differential equation of second order. By using spectral method the partial differential equation can be reduced to a system of ordinary differential equations for different terms of Chebyshev polynomials approximations. The ordinary differential equations are solved by the method of the Laplace transform and the eigenvalue method that led to an analytical form of the solutions.
出处
《中南民族大学学报（自然科学版）》
CAS
2003年第2期90-93,共4页
Journal of South-Central University for Nationalities：Natural Science Edition
基金
国家自然科学基金资助项目 (批准号 :1 9832 0 5 0 )
四川省重点高新项目 (批准号 :0 2 GY0 2 9- 0 1 9)
