- #1

yrael

- 7

- 0

## Homework Statement

Show that the streamlines for a flow whose velocity components are u=c(x^2-y^2) and v=-2cxy, where c is a constant, are given by the equation x^2*y-y^3/3=constant. At which point (points) is the flow parallel to the y axis? At which point (points is the fluid stationary?

## Homework Equations

dy/dx=v/u

u=c(x^2-y^2)

x^2*y-y^3/3=constant

v=-2cxy

## The Attempt at a Solution

dy/dx=v/u=(-2cxy)/(c(x^2-y^2))=-2xy/(x^2-y^2)

intergral dy(x^2-y^2)=intergral -2xy dx

x^2y-1/3*y^3=-x^2y

ans y=sqrt(6)x?

How do i show what point is parallel to y-axis and what point is fluid stationary?