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《流体动力学》(英文版)lecture 16

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BASIS FOR INTERACTING BwNDARY LAYER THEORY olve viscaus flow eguahoms via asymp tobi senes 尸r4 meyer e 1e)=(9)+E()+∈4(小 ()+E()+e2k1()+ P()=A()P()+eP yp+Ey Since e multipl; es highest-order derivative vi. this is a Singular perturbation variables near w Uy)=(ky)+Eu(xy)+…x e x u=ay2+o(e ()()+∈W() U=u y overn nd metchi n4 cend, oms at s iona EV +影 3一A =-5+ zeroth.0rd Wo U: 0o 矿 4·H=O ,分 3+B U= Ord e 六A=∈V +影 de 说十v+治

Displacement Effects of Boundary Layer on Potential Flow u(x,y) whBL● ctual Flow v(x,ye)≡ve(x) au (ue -u)dy-ye dr where =“(-) y)=uel Displacement Body Model ve(=) D:SPuaCMEM SonE W Flow tangent to displacement bod d or ve=d(ueA)-ye dr △=6 (by comparing with Actual Flow ve) xy)=4(x) Wall Blowing Mode v(2)=wa+/"a ay Wall (x) Flow NOT Uwall- ye a→wal= d(u,6”) (by comparing with Actual Flow)

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