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

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ESE Mechanical 2017 Official Paper
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  1. xy + 2 = 0
  2. x2y + 2 = 0
  3. xy – 2 = 0
  4. x2y – 2 = 0

Answer (Detailed Solution Below)

Option 3 : xy – 2 = 0
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution

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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

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