# Fluids: potential flow, calculating gauge pressure from two sources

1. May 10, 2013

### twinned

1. The problem statement, all variables and given/known data

In a plane onset flow of 4 m/s, a source of strength 13 m2/s per metre is located at the origin (x=0, y=0) and another source of strength 18 m2/s per metre is located at (x=3m, y=0). Calculate the gauge pressure at the point (0, 2m), Take ρ =1.2kg/m3

2. Relevant equations

3. The attempt at a solution

I have attempted to work out the velocities, 13/(2pi*√x^2+y^2) and 18/(2pi*√(x-3)^2+y^2) and θ = 1.249 radians, although am somewhat unsure of how to proceed.

any help would be greatly appreciated! thanks

2. May 10, 2013

### Staff: Mentor

What is the magnitude of the velocity vector associated with each of the two sources at the point p?

What are the components of these velocity vectors in the x- and y-directions at point p?

What are the components of the velocity vector associated with the flow U at point p?

What are the components of the overall velocity vector at point p?

What are the components of the velocity of the fluid at infinity?

I presume that you need to calculate the gauge pressure as the pressure at point p minus the pressure at infinity.