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1、繞圓柱無(wú)環(huán)量流動(dòng)和有環(huán)量流動(dòng)流線分布圖一、繞圓柱無(wú)環(huán)量流動(dòng)由均勻直線流動(dòng)和偶極流的流函數(shù)可疊加得繞圓柱無(wú)環(huán)量流動(dòng)的流函數(shù)方程為:Ψ=V∞r(nóng)sin(θ)-Msin(θ)2πr相應(yīng)流動(dòng)的流線方程為:V∞r(nóng)sin(θ)-Msin(θ)2πr=C(常量)不同C值對(duì)應(yīng)不同的流函數(shù)曲線,將極坐標(biāo)形式變成直角坐標(biāo)形式:V∞y-M2πryx2+y2=C(常量)1.V∞=10,M=500,C=10,-10,0,20,-20ezplot('10*y-500*y/(2*pi*(x^2+y^2))=10')holdonezplot('10*y-500*y/(2*pi*(x^2+y^2))=-10')h
2、oldonezplot('10*y-500*y/(2*pi*(x^2+y^2))=0')holdonezplot('10*y-500*y/(2*pi*(x^2+y^2))=20')holdonezplot('10*y-500*y/(2*pi*(x^2+y^2))=-20')holdon2.V∞=20,M=520,C=20,-20,0,40,-40ezplot('20*y-520*y/(2*pi*(x^2+y^2))=20')holdonezplot('20*y-520*y/(2*pi*(x^2+y^2))=-20')holdonezplot('20*y-520*y/(2*pi*
3、(x^2+y^2))=0')holdonezplot('20*y-520*y/(2*pi*(x^2+y^2))=40')holdonezplot('20*y-520*y/(2*pi*(x^2+y^2))=-40')holdon3.V∞=30,M=540,C=30,-30,0,60,-60ezplot('30*y-540*y/(2*pi*(x^2+y^2))=30')holdonezplot('30*y-540*y/(2*pi*(x^2+y^2))=-30')holdonezplot('30*y-540*y/(2*pi*(x^2+y^2))=0')holdonezplot('30
4、*y-540*y/(2*pi*(x^2+y^2))=60')holdonezplot('30*y-540*y/(2*pi*(x^2+y^2))=-60')holdon4.V∞=100,M=1000,C=30,-30,0,60,-60ezplot('100*y-1000*y/(2*pi*(x^2+y^2))=30')holdonezplot('100*y-1000*y/(2*pi*(x^2+y^2))=-30')holdonezplot('100*y-1000*y/(2*pi*(x^2+y^2))=0')holdonezplot('100*y-1000*y/(2*pi*(x^2+
5、y^2))=60')holdonezplot('100*y-1000*y/(2*pi*(x^2+y^2))=-60')holdon5.V∞=10,M=100,C=30,-30,0,60,-60ezplot('10*y-100*y/(2*pi*(x^2+y^2))=30')holdonezplot('10*y-100*y/(2*pi*(x^2+y^2))=-30')holdonezplot('10*y-100*y/(2*pi*(x^2+y^2))=0')holdonezplot('10*y-100*y/(2*pi*(x^2+y^2))=60')holdonezplot('10*y
6、-100*y/(2*pi*(x^2+y^2))=-60')holdon二、繞圓柱有環(huán)量流動(dòng)由均勻直線流動(dòng)、偶極流、點(diǎn)渦三者疊加后的復(fù)合流動(dòng),流函數(shù)方程為:Ψ=V∞(r-R2r)sin(θ)+Γ2πl(wèi)n(r)相應(yīng)流動(dòng)的流線方程為:V∞(r-R2r)sin(θ)+Γ2πl(wèi)n(r)=C(常量)不同C值對(duì)應(yīng)不同的流函數(shù)曲線,將極坐標(biāo)形式變成直角坐標(biāo)形式:V∞(x2+y2-R2x2+y2)+Γ2πl(wèi)nx2+y2=C(常量)1.V∞=10,R=3,Γ=0.1,C=0,10,20,30,40ezplot('10*y*(1-9/(x^2+y^2))+0.1*exp(sqrt(x^2+y^2))
7、/(2*pi)=0')holdonezplot('10*y*(1-9/(x^2+y^2))+0.1*exp(sqrt(x^2+y^2))/(2*pi)=10')holdonezplot('10*y*(1-9/(x^2+y^2))+0.1*exp(sqrt(x^2+y^2))/(2*pi)=20')holdonezplot('10*y*(1-9/(x^2+y^2))+0.1*exp(sqrt(x^2+y^2))/(2*pi)=30')holdonezplot('10*y*(1-9/(x^2+y