A two- dimensional flow field is defined as the equation of the streamline passing through the point (1, 2) is

Question

Question

Answer 1

Concept:

Streamline: It is the line along which stream function ψ remains constant.

If ψ = f (x,y)

dψ = 0

For streamline dψ = 0

∴

Calculation:

Given:

So, u = x and v = -y

Streamline equation:

Integrating both side

ln x = -ln y + ln c

xy = c

Given x = 1, y = 2

so, c = 2

so equation is xy – 2 = 0