Falkner-Skan方程的某些新结果

Some new results of Falkner-Skan equation

著名的Falkner-Skan边界层方程″′f(η)+f(η)f″(η)+λ[1-(f′)2(η)]=0,η∈(0,∞)及边界条件f(0)=f′(0)=0,f′(∞)=1,0<f′(η)<1,η∈(0,∞)是流体力学领域最重要的方程之一.利用它的等价积分方程获得剪应力f″(η)新的估计,并改进了某些最近结果.

The well-known Falkner-Skan equation arising in the boundary layer problems f″（η）＋f（η）f″（η）＋λ[1-（f′）^2（η）]=0,η∈（0,∞）subject to the boundary conditiont：f（0）=f（0）=0,f′（∞）=1,0〈f′（η）〈1,η∈（0,∞）is one of the most important equations in the fluid mechanics. A new estimate of f″（η） is obtained by a singular integral equation equivalent to the Falkner-Skan equation. Some recent results are improved.