(Solved): Potential Flow for a Dipole Source. Consider the potential flow for a "dipole" consisting of a sour ...

Potential Flow for a Dipole Source. Consider the potential flow for a "dipole" consisting of a source and a sink a distance "a" apart along the $x$-axis, as in the figure below. The volumetric outflow (per unit depth into the page) from the source is $Q$, while volumetric inflow for the sink is - $Q$. Gravitational effects can be neglected. a). What are the $x$ and $y$ direction velocity components, $v_x$ and $v_y$, for the dipole flow? b). How does pressure vary along the vertical center line $x=a/2$ ? Assume there are no body forces and approximate the flow as effectively frictionless. Also given: pressure infinitely far from the dipole equals $P_0$.