So, its time to revisit the dreaded HVAC issue again
After struggling with this part of the design for soooo long I'm hoping to finally move on. But after the effort Ive gone to in order to isolate as much sound as possible, I really dont want to mess it all up here!!
For the below calculations, I'm only looking at the single-room Recording Studio. (Since the Piano Room has operable windows and isolation is not critical, I will not require separate ventilation, and AC is fairly simple via a mini split.)
Heating/Cooling- Room Volume =57m3 (2000cf)
- Allowing for 6 room changes per hour, I will need to circulate 95 litres/sec. (200 cf/m)
- I'm looking at a mini-split unit that's a somewhat overspec'd, operating at 200 l/s on high speed. I figured If run it on low speed I should get enough volume and it's noise level will be brought down to about 20db.
- https://www.fujitsugeneral.com.au/produ ... astg09kmtc
Ventilation I'm providing fresh air via separate intake and exhaust vents, and to stop sound travelling through the ventilation, I'll build a silencer box where each vent penetrates a leaf, connected with flexible duct and driven by an inline fan on the intake vent (4 boxes in total).
This first part of the math's I'm good with:
- I'll aim to provide fresh air to 6 people at a rate of 28 litres/sec (60cfm)
- So that airflow doesn't create too much noise, I'll aim for a velocity of 60 metres/minute (200fpm)
- This will require a register where it enters/exits the room with cross sectional area of 280cm2 (43in2)
- Dimensions of the register = 17cm x 17cm (6.5 x 6.5in)
- Because a square path causes more turbulence I should morph those dims to approx 10 x 30cm
Now this is where it all gets hazy for me, so please correct me where I've gone wrong!!
- The cross sectional area of the flexible foil duct can a bit smaller than at the register, so lets say I reduce it to 180cm2 (28in2)
- Duct diameter = 150mm (6in)
- Velocity through the foil duct is now faster at 95 mpm (300fpm)
- When the air from the duct drops into the silencer, the air path should at least double, which will slow it down and cause an impedance mismatch, helping to reflect more sound back the way it came.
- So the silencer air path needs to be min 365cm2 (57in2) or more
- Dimensions of silencer air path = 19 x 19cm
- Velocity through the silencer = 45 mpm (150fpm)
I'm actually planning on building the silencer significantly larger than this, in the hopes that just throwing more at it will make up for any error in calcualtions (see sketch below)
Questions:- Does that last section of math and logic sound OK, or have I made a fundamental error in there?
- Is it OK for the fpm to drop down so slow within the silencer before hitting the register?
- Is it a case of "the larger the better" for a silencer box?
Many Thanks!! Gra