I am trying to model the Problem of 9.13 from Plawsky Transport Phenomena 3rd ed (below). Any ideas for how to set this up better? Thanks
The method of images uses precisely oriented collections of sources, sinks, and vortices
to establish artificial walls and so simulate more complicated flow fields. One such flow
field is formed by positioning two counter-rotating vortices a distance, d, from the
location of the hypothetical wall. The stream function for this flow is given by:
ψ = qo / 4π{ −ln [(x − d)^2 + y^2] + ln[ (x + d)^2 + y^2]}
a) Demonstrate that there is no flow through the wall.
b) How does the velocity vary along the length of the wall?
c) What is the pressure distribution along the wall?
The method of images uses precisely oriented collections of sources, sinks, and vortices
to establish artificial walls and so simulate more complicated flow fields. One such flow
field is formed by positioning two counter-rotating vortices a distance, d, from the
location of the hypothetical wall. The stream function for this flow is given by:
ψ = qo / 4π{ −ln [(x − d)^2 + y^2] + ln[ (x + d)^2 + y^2]}
a) Demonstrate that there is no flow through the wall.
b) How does the velocity vary along the length of the wall?
c) What is the pressure distribution along the wall?