What to do about noisy drain?
Adding an air admittance valve might help.


From rmit.edu.au



Depending on space restrictions, you could instead consider replacing a normal P-trap or bottle-trap with an "anti-siphon trap"


Example - McAlpine "Silentrap"


  The major advantage of the Silentrap over Resealing Traps is that because the air is drawn through the Valve and not through the water seal, gurgling is eliminated and a much quieter discharge is ensured


...


  Whenever syphonic conditions develop, the negative pressure causes the Valve to rise, allowing air to be drawn into the discharge pipe. The pressure is thereby neutralised before it can have any effect on the water seal within the Trap. On cessation of the syphonic action, the Valve closes, making the Silentrap air and watertight


...


  The Silentrap has been most rigorously tested and will not unseal, even under the most abnormal conditions


My emphasis.

There is an unusually good explanatory video which demonstrates the operation of this and other types of air-admittance valve (AAV)

This is just an example, Other brands are available and probably work just as well.