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

Question

Question

This question was previously asked in

ESE Mechanical 2017 Official Paper

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