Mathematic help 😅

Alright need some help on this one

So I have a 440L biomass chamber and I want to flood it quick 3min approx
I have a solvent tank with more than enough solvent but I want to use a coil to cool the solvent down and have the biomass chamber flooded quick
So my question is what must be the orrifice of the coil to evacuate solvent from solvent tank to biomass chamber be to have 120 L of propane filled in 3 minutes at let’s say 8 bar (120 psi) pressure in the solvent tank and vacuum in the biomass chamber Wich is jacketed and cooled at -78C
I ll have a coil made on calculated orrifice and will then figure out what’s the length needed to get solvent to the temp I wish (-65C)
Lost as to where to start with these calculations thx
@cyclopath @downtheterphole @Tech1145

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The biomass chamber is -78 and the the solvent tank is starting at room temp?

What’s your coolant?

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I suspect @TheGratefulPhil or @Lincoln20XX are wayore qualified for that one than I….and I do recall that one of them did leave maths lying around here what are almost relevant.

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I’d definitely have to work this out from first principles to get anywhere with it.

But this website suggests the proper orifice size to be somewhere in the range of 0.7mm

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These are my all-time favorite threads. Someone is going to do a chart and someone else is going to write out all the math and then someone is going to put it into excel and share it . . . my very favorite kind of thread.

Carry on.

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why not cool all your solvent in tank and inject it faster?

how is the system setup?

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I’ll bet @IlluminatedExtractor can do these maths.

Dry ice iso alcohol

Nice tool :pray:

Solvent tank is big :upside_down_face: not jacketed

22mm internal diameter should be good
Slightly more than 3/4 “” :smiley:

I’m curious.
@Lincoln20XX gets 0.7mm
I get about twice that (1.47mm)

How are you getting 22mm using the same calculator?!?

I also got close to your 15 mm think Lincoln s number is gaseous form
And I checked liquid on another calculator
Pressure differential is a complex additional calculation Wich I only deducted 10%
22 mm is an additional 50% (diameter)to be sure the 40L per minute can be achieved :grinning:
Damn coil is 86 meters long for a temperature drop of 65 C and I only get 1 shot to make it right

Ps micron to mm is 000.0 might want to check that

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Almost 7/8” :eyes:

I use 60ft of 3/8 coil to cold inject. That gets me to the temp range your talking about

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Are you using tank pressure or a liquid pump to move solvent? Your solvent tanks pressure will drop significantly as soon as you open it to the chilled coil and biomass chamber. Liquid propane will change to vapor to fill headspace in solvent tank, which will chill the tank a little and lower pressure as well. You might need to add pressure to your solvent tank (recover hot vapor) simultaneously to keep your injection rate consistent.

N2 assist to keep. Pressure in solvent tank
Yes

I took a crack at it, hoping someone will leave me feedback as to why I’m wrong if I am.

Vdot = VavgAc
Ac = pi
d^2/4

dP/rho + dV^2/2 + rhogravitydHl = 0 (Bernoullis)
dP = P2- P1
dV = V2-V1

Energy due to height negligible, unless you just have a massive drop between orifice and chamber for shits n giggles
Vdot = 40L/min or 0.002666 m^3/s (units cancel out nicely when in m^3/s and not L/min)

Use Bernoullis to find V1, V2 is zero since propane stops at chamber. dP is 8 bar since chamber is vacuumed, I.e. pressure at point 2 is 0. Make sure units are all consistent

use Vdot = Vavg*Ac and assume that v1= Vavg
Ac is cross sectional area needed to maintain that velocity given that pressure drop, now find for diameter

Density for propane at -65C at 1 bar vs 10 bar is nearly the same, so I didn’t change density with respect to pressure since it does seem negligible but temperature taken into account.

Maybe did something wrong here but that was kinda fun

I got 17.93mm

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do you have a recovery pump big enough to pull a deep vac on your propane vessel?

I have pumps up to 136 cfm so I guess since the tank is 3600 effective liters
This is the main solvent tank.
What’s the idea of pulling a vacuum on the tank ?