Problema de Stokes

Termodinámica de procesos irreversibles
© Daniel Alonso. IUdEA
Needs@"VectorFieldPlots`"D
vrAx_, y_E = 3 x J1 + 0.5 ’ SqrtAx2 + y2 E - 1.5 ‘ SqrtAx2 + y2 EN
3
vtAx_, y_E = -3 y J1 - 0.25 ’ SqrtAx2 + y2 E - 0.75 ‘ SqrtAx2 + y2 EN
3
0.5
3x 1+
Ix2
+
32
y2 M
1.5
x2 + y2
0.25
-3 y 1 -
Ix2 +
32
y2 M
0.75
x2 + y2
vxAx_, y_E := x vr@x, yD - y vt@x, yD
vyAx_, y_E := y vr@x, yD + x vt@x, yD
fieldAx_, y_E := If@Sqrt@x x + y yD > 1.1, 8vx@x, yD, vy@x, yD<, 80, 0<D
lx = 4;
dlx = 0.3;
ly = 2;
dly = 0.2;
g1 = VectorFieldPlot@field@x, yD,
8x, -lx, lx, dlx<, 8y, -ly , ly, dly<D
2
StokesFlow.nb
g2 = Graphics@Disk@80, 0<, 1DD
Show@g1, g2D