繞圓柱無環(huán)量流動(dòng)和有環(huán)量流動(dòng)流線分布圖

1、繞圓柱無環(huán)量流動(dòng)和有環(huán)量流動(dòng)流線分布圖一、繞圓柱無環(huán)量流動(dòng)由均勻直線流動(dòng)和偶極流的流函數(shù)可疊加得繞圓柱無環(huán)量流動(dòng)的流函數(shù)方程為：=V r sin()-M sin()2r 相應(yīng)流動(dòng)的流線方程為：V r sin()- M sin()2r =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-M2ryx2+y2 =C（常量）1. V=10，M=500, C=10,-10,0,20,-20 ezplot(10*y-500*y/(2*pi*(x2+y2)=10) hold on ezplot(10*y-500*y/(2*pi*(x2+y2)=-10) hold on ezplo

2、t(10*y-500*y/(2*pi*(x2+y2)=0) hold on ezplot(10*y-500*y/(2*pi*(x2+y2)=20) hold on ezplot(10*y-500*y/(2*pi*(x2+y2)=-20) hold on2. V=20，M=520, C=20,-20,0,40,-40 ezplot(20*y-520*y/(2*pi*(x2+y2)=20) hold on ezplot(20*y-520*y/(2*pi*(x2+y2)=-20) hold on ezplot(20*y-520*y/(2*pi*(x2+y2)=0) hold on ezplot(20

3、*y-520*y/(2*pi*(x2+y2)=40) hold on ezplot(20*y-520*y/(2*pi*(x2+y2)=-40) hold on3. V=30，M=540, C=30,-30,0,60,-60 ezplot(30*y-540*y/(2*pi*(x2+y2)=30) hold on ezplot(30*y-540*y/(2*pi*(x2+y2)=-30) hold on ezplot(30*y-540*y/(2*pi*(x2+y2)=0) hold on ezplot(30*y-540*y/(2*pi*(x2+y2)=60) hold on ezplot(30*y-

4、540*y/(2*pi*(x2+y2)=-60) hold on4. V=100，M=1000, C=30,-30,0,60,-60 ezplot(100*y-1000*y/(2*pi*(x2+y2)=30) hold on ezplot(100*y-1000*y/(2*pi*(x2+y2)=-30) hold on ezplot(100*y-1000*y/(2*pi*(x2+y2)=0) hold on ezplot(100*y-1000*y/(2*pi*(x2+y2)=60) hold on ezplot(100*y-1000*y/(2*pi*(x2+y2)=-60) hold on5.

5、V=10，M=100, C=30,-30,0,60,-60ezplot(10*y-100*y/(2*pi*(x2+y2)=30) hold on ezplot(10*y-100*y/(2*pi*(x2+y2)=-30) hold on ezplot(10*y-100*y/(2*pi*(x2+y2)=0) hold on ezplot(10*y-100*y/(2*pi*(x2+y2)=60) hold on ezplot(10*y-100*y/(2*pi*(x2+y2)=-60) hold on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：=V（r-R2r）si

6、n()+2 ln(r)相應(yīng)流動(dòng)的流線方程為：V（r-R2r）sin()+2 ln(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) +2 lnx2+y2 =C（常量）1.V=10, R=3, =0.1, C=0,10,20,30,40ezplot(10*y*(1-9/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=0) hold on ezplot(10*y*(1-9/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=10) hold on ezplot(10*y*(1-9/(x2+y2)+

7、0.1*exp(sqrt(x2+y2)/(2*pi)=20) hold onezplot(10*y*(1-9/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=30) hold onezplot(10*y*(1-9/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=40) hold on2.V=20, R=2, =0.1, C=0,20,-20,40,-40ezplot(20*y*(1-4/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=0) hold on ezplot(20*y*(1-4/(x2+y2)+0.1*exp(sqrt

8、(x2+y2)/(2*pi)=20) hold on ezplot(20*y*(1-4/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=-20) hold onezplot(20*y*(1-4/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=40) hold onezplot(20*y*(1-4/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=-40) hold on3.V=50, R=4, =0.1, C=0,10,-10,20,-20ezplot(50*y*(1-16/(x2+y2)+0.1*exp(sqrt(x2+y2)/

9、(2*pi)=0) hold on ezplot(50*y*(1-16/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=10) hold on ezplot(50*y*(1-16/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=-10) hold onezplot(50*y*(1-16/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=20) hold onezplot(50*y*(1-16/(x2+y2)+0.1*exp(sqrt(x2+y2)/(2*pi)=-20) hold on4.V=50, R=3, =-0.3, C=0

10、,20,-20ezplot(50*y*(1-9/(x2+y2)-0.3*exp(sqrt(x2+y2)/(2*pi)=0,-6 6,-5 5) hold on ezplot(50*y*(1-9/(x2+y2)-0.3*exp(sqrt(x2+y2)/(2*pi)=-20,-6 6,-5 5) hold on ezplot(50*y*(1-9/(x2+y2)-0.3*exp(sqrt(x2+y2)/(2*pi)=20,-6 6,-5 5) hold on5.V=1000, R=5, =-1, C=0,20,-20,40，-40ezplot(1000*y*(1-25/(x2+y2)-1*exp(sqrt(x2+y2)/(2*pi)=0,-6 6,-5 5) hold on ezplot(1000*y*(1-25/(x2+y2)-1*exp(sqrt(x2+y2)/(2*pi)=-20,-6 6,-5 5) hold on ezplot(1000*y*(1-25/(x2+y2)-1*exp(sqrt(x2+y2)/(2*pi)=20,-6