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Horizontal CO2 reactor - Estimations for a big tank, or small tank

hypnogogia

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Yugang tank with Yugang Spray Bar did 1.5 pH drop during steady state. So if the surface area of your tank is twice Yugang's tank, you need a reactor with twice Yugang's tank reactor surface area (tube length * tube diameter) for having the same maximum 1.5 pH drop during steady state. This is the first priority.
I’m not sure that is a logical conclusion. Whilst your reactor managed. 1.5 drop for your tank, you can’t conclude that that a tank with twice the surface area would require a reactor with twice the surface area because we do not conclusively know whether it is tank surface area or tank volume that that determines the drop in relation reactor surface area.
 

Yugang

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Whilst your reactor managed. 1.5 drop for your tank, you can’t conclude that that a tank with twice the surface area would require a reactor with twice the surface area because we do not conclusively know whether it is tank surface area or tank volume that that determines the drop in relation reactor surface area
We can be pretty confident that my assumptions are good enough, and we don't need more than an rough estimation as to what would be the minimum dimensions for a given tank to achieve 1-1.5 pH drop. The logic is that we discuss steady state, i.e the CO2 in the water column is constant. This means that injected CO2 will either be consumed by plants, or outgassed at the surface. Now the plant consumption is just a minor part, typically 5-10%, so for the purpose of this estimation we may assume that in the steady state the CO2 injection balances with the outgassing at the surface. Take then for example a twice larger tank surface, means twice more outgassing, requires twice more injection and thus twice the surface area of the reactor. I hope this clarifies it.

The detailed physics and math for a more accurate estimation can be done, but is not really useful for the purpose in this thread. When we have a couple of reactors working for hobbyists, with various tank sizes, flows, we will confirm/correct soon enough what the minimum dimensions should be and can build on that practical evidence.

Note: a couple of years ago I did a numerical modelling of CO2 in the tank, from measured pH curves, and found that plant uptake is a small part of the overall CO2 consumption - which confirms what is generally understood to be the case. If we would find it useful, and having some spare time, I may take up this modelling again to have more accurate data on the ramp up and stabilisation of CO2. Not sure if it is worth it though.
 
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Ok so Yugang tank [TankL=1,000mm : TankW=450mm : ReactorL=1,000mm : ReactorD = 25mm] therefore [TankA = 450,000mm2 : ReactorA = 25,000mm2] and the ratio TankA:ReactorA = 18

LB Tank [TankL=1500mm : TankW = 410mm] TankA = 615,000mm2 so ReactorA should be 34,167mm Given the pipe I'm most familiar working with has a diameter of about 2" (ReactorW=45mm) your assumptions are that I would need a reactor of 769mm.

Have I understood your interpretation correctly.
 

hypnogogia

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We can be pretty confident that my assumptions are good enough, and we don't need more than an rough estimation as to what would be the minimum dimensions for a given tank to achieve 1-1.5 pH drop. The logic is that we discuss steady state, i.e the CO2 in the water column is constant. This means that injected CO2 will either be consumed by plants, or outgassed at the surface. Now the plant consumption is just a minor part, typically 5-10%, so for the purpose of this estimation we may assume that in the steady state the CO2 injection balances with the outgassing at the surface. Take then for example a twice larger tank surface, means twice more outgassing, requires twice more injection and thus twice the surface area of the reactor. I hope this clarifies it.
But those assumptions do not hold when we consider that a certain volume of water can hold a certain amount of CO2 and we therefore need to be able to provide that to even get our 1-1.5 ph drop in the first place.
I like your idea and am tempted to make my own, but I’m not convinced that the maths is as straight forward as you claim.
 

Yugang

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Ok so Yugang tank [TankL=1,000mm : TankW=450mm : ReactorL=1,000mm : ReactorD = 25mm] therefore [TankA = 450,000mm2 : ReactorA = 25,000mm2] and the ratio TankA:ReactorA = 18

LB Tank [TankL=1500mm : TankW = 410mm] TankA = 615,000mm2 so ReactorA should be 34,167mm Given the pipe I'm most familiar working with has a diameter of about 2" (ReactorW=45mm) your assumptions are that I would need a reactor of 769mm.

Have I understood your interpretation correctly.
Check :) this should work. If you can, try to be on the safe side and take a bit extra reactor length for a stronger ramp up (don't know your tank volume, and don't know your surface agitation).

But those assumptions do not hold when we consider that a certain volume of water can hold a certain amount of CO2 and we therefore need to be able to provide that to even get our 1-1.5 ph drop in the first place.
I like your idea and am tempted to make my own, but I’m not convinced that the maths is as straight forward as you claim.
If I understand your argument correctly - assume that under steady state the total water column will hold a constant mass of CO2, there is no CO2 added or taken out (otherwise pH would still change and we have no steady state). What we inject, in fact an equivalent volume of CO2, will therefore not be added to the water, but go straight to the plants and to outgassing. Just think of it as a CO2 molecule accountant :)

I’m not convinced that the maths is as straight forward as you claim.
It is an estimation with a practical objective - design a working reactor with roughly correct dimensions. Indeed we can apply more subtle math, but it would not really be helpful and be merely confusing.
 
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hypnogogia

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So a thought experiment. Would a 1000L tank require the same horizontal reactor as 250L tank if both have the same surface area?
 

Yugang

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So a thought experiment. Would a 1000L tank require the same horizontal reactor as 250L tank if both have the same surface area?
The outgassing at the surface is a function of the CO2 ppm in the tank, the surface area and the surface agitation. It is NOT dependent on the tank volume/depth. Therefore for steady state operation (same CO2 ppm, same surface area and same surface agitation in both tanks) we will need exactly the same performance from our reactor, with exactly the same injection rate to compensate for the outgassing CO2 losses.

Of course for the initial CO2 loading (from fully degassed water), the reactor has to do more work on the bigger tank and it will take more time. Also the bigger tank will have a bit more CO2 outgassed during the night, as the higher volume will keep CO2 ppm longer high, with a little higher outgassing, and thus will see a bit more outgassing over the full CO2-off period. So in summary we would like a slightly bigger reactor to enable a faster ramp up to steady state for the bigger tank.

In summary, both tanks have almost same reactor requirements (maintain steady state), but it is helpful to have a bit more reactor capacity for ramp up in the bigger tank, making sure we reach stability within an acceptable time.

This all is under the condition, as you proposed, that both tanks have same surface area.
 
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Unexpected

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the gas pocket in the Co2 Spray Bar or Horizontal Reactor will be fully absorbed in typically 15-30 min.
I've been questioning myself what the appropriate CO2 shut off time I should be. I'm currently having it turn off 1 hour before lights off. Based on your post, I'm wondering if I should reduce the CO2 off time to say 30 minutes to light off. Thoughts?
 

Yugang

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I've been questioning myself what the appropriate CO2 shut off time I should be. I'm currently having it turn off 1 hour before lights off. Based on your post, I'm wondering if I should reduce the CO2 off time to say 30 minutes to light off. Thoughts?

CO2 stability matters most for the plants in the first hours of the photoperiod, less so at the end of the daylight. I usually turn CO2 off one hour, or 90 min before lights off, but admittedly some others may have better opinions on this.
 
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I turn mine off 150mins before lights out. Mostly so I can enjoy a bubble free tank during feeding time and the best part of the evening. Hence my interest in a reactor. At the moment my ramp up period is 165 mins as well. I do have an awful lot of surface agitation
 

Yugang

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I would hope that equipment vendors lurk on these fora, but not sure if they actually do.

I am a fan of Fluval, own an FX4, so let me take this example:

A214_image6-43.jpg


Following the calculations in this thread, one would find that a simple 40 cm diameter compartment, horizontal reactor, above or below this canister would be more than enough to supply a 300 * 50 * 50 = 750 liter tank with >30 ppm CO2.
Just a few centimetres extra height of plastic, perhaps an additional valve, with very little extra cost.

Just a suggestion, hope someone is listening :)
 
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Wookii

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Quoting your post from @Hanuman's thread here @Yugang, for further discussion on your design:

This is a recommendable post @Hanuman , as usual your great building skills and well documented. I admit, too often when I work on my tank I consider how @Hanuman would do it :thumbup:

We’ve seen so many posts on many variation of bubble reactors in the past 20-30 years or so, I guess in the thousands, and yours is probably not the last. It’s not that dissolving CO2 in water is so difficult, or that it is a real technical challenge…

I think it’s probably bad forum etiquette to use your post only to promote an alternative, so I’ll make sure that I give some detailed replies on your post, even though I would never again consider building or optimising a bubble reactor. With lots of data and arguments I have had limited success gaining traction for the Horizontal Reactor on this forum, so it is probably foolish to expect that more scientific arguments and calculations will make any change … so YESSSS that’s exactly what I’ll do :lol::twisted:

Let’s start with a thought experiment. We take your bubble reactor, turn it 90 degrees into a horizontal position. This is then a Horizontal CO2 Reactor , no bubbles anymore - will that make things better or worse?
So let's do some simplified estimations, not exact science but just enough to get a feeling and a sense why Horizontal CO2 Reactor works.

View attachment 205743

When the reactor is horizontal, upper half filled with CO2 and lower half with a flow of water, the surface area for CO2 absorption is 25.806 mm2. If we assume for a moment, if we're to have a vertical reactor, that our bubbles are 3 mm diameter, each bubble represents a 28 mm2 surface area for CO2 absorption to the water. So we calculate that we would need 913 bubbles to get to the same CO2 absorbing area as the horizontal reactor would do. When I took slow motion videos of my bubble reactor, it did not even come close to this number, as anyone may confirm in their reactors.

The objection to this simplified calculation may be that in reality we do not have all same size 3 mm bubbles, but some smaller and some bigger. If we would redo the above calculations, we find:
So for any mix if above bubbles sizes (if we feel that that’s closer to reality), we would need many hundreds of bubbles – much more than we can observe in our real life reactors. Therefore it is safe to assume that for any given pipe size, the horizontal reactor variant packs much more punch than the vertical bubble variant. I won’t duplicate the other advantages of this simplified reactor method, they can be found in the thread, but will mention some below.


Please do not take my remarks as addressed to you personally, because indeed you do not claim you ‘own’ the ideas from what you have posted, and just post your implementation for the benefit of others.


Copying your reactor makes sense for a similar size tank, water flow from pump, etcetera. I have never seen posts on any forum that prescribes what are the correct dimensions for any bubble reactor, as a function of the user’s setup This is probably also not possible, as there are too many unpredictable variables at play in a bubble reactor, so that it is really hard to make a reliable model for its operation and performance. The horizontal reactor is much simpler to understand and model, and that’s why I’ve posted an estimation how to calculate the correct dimensions for any tank size.

When we focus on what we want to achieve (no noise, 100% efficiency, no bubbles in tank), and follow the Optimisation procedure that I used in my AquaMedic reactor, we see why in my personal view a by pass is highly desirable. I would personally never build a reactor without by pass, because you miss the optimization option and you get either bubbles escaping or noise if and when CO2 / water flows are not matched.

You said it :)


CO2 pressure will be at equilibrium with local water pressure, and therefore always very close to atmospheric pressure.


CO2 build up in the chamber is the main cause of water splashing and making noise. I would slowly increase the water flow at any given CO2 injection, using bypass valve, until this CO2 pocket disappears and the reactor is perfectly silent. If it appears that we then have bubbles escaping from the bottom, we learn that we have exceeded that maximum reactor capacity and it is better to reduce CO2 flow.

You are correct that a CO2 pocket in the top of the reactor also gives a reduction of flow in the system. It is worth mentioning (I did not before as I found the physics too confusing to mention) that the bubbles in a reactor will give a back pressure to the pump and reduce the flow to the tank. This is the same physics as airlift pump, and also explained in the youtube that I attach below. The Horizontal Reactor will not give any backpressure, as there are no bubbles pushing water against the flow and no CO2 pocket where we could create a noisy and energy wasting waterfall.


I believe the Niloc reactor is the best commercially available, but pricey, but still some room for improvement IMO, especially in the top where I worry a bit about noise.


For a Horizontal CO2 Reactor any plastic pipe from the local plumbing store will be good, transparent is just nice to have, as there is really no need to observe what’s going on inside.


I modified my AquaMedic reactor so that I could have automatic purging of any trapped air. I am mean enough to leave that as a little innovation puzzle, and am happy to share my solution in a PM :cool:
Horizontal CO2 Reactor also purges itself of trapped air, the valve is just an optional nice to have.


---------------------------------------------------------- // -----------------------------------------------

Youtube videos to illustrate physics of backpressure in bubble reactor:





So I've skim read through this thread, and it's an interesting concept.

As I mentioned way back with you were doing the same thing with the spray bar and the in tank half inverted pipe, this type of passive diffusor is how CO2 injection was first implemented in tank - I still have a 25 year old JBL diffusor that essentially is an upturned clear plastic tray with suction cups attached and a CO2 pipe inlet that you placed just under the surface near the filter outlet. It worked well for such a simple concept and didn't need compressed gas which wasn't widely available to hobbyists at the time. So the passive diffusion method has been around a while and is a method that works.

The interesting thing that you've developed here with this evolved idea is being able to take that big ugly bit of kit out of the tank which is key for many users. Most can tolerate a small length of acrylic pipe finishing at a tiny diffuser stone, but not a big chunk of plastic in the tank.

There are some initial issues I have with the design you have proposed, and some questions that I'm interest to see if you have tested:


Form Factor:

I think the biggest issue you are up against with this design is form factor. If my understanding is correct, the design advocates a length of (4"?) pipe the entire length of the tank - is that right? That simply isn't possible to install in 90% of cabinets - most cabinets of larger tanks have at least two dividers, so even 1/3rd tank length would be a challenge. My stand is open underneath the full 1500mm tank length, but even I wouldn't want, and couldn't realistically house, a full length 4" pipe.

I understand you might be able to split the length and run them in series one above the other, but again, that's not an easy install, and it standard to become very complicated to implement having say 4 x 375mm lengths of pipe for a 1500mm tank.

This is the reason that vertical reactor are so popular - they are easy to site, and don't take up much room.


Pump requirement:

What kind of pressure drop/flow rate decrease do you see with this system? I assume it's fairly significant, and not something that would work inline with a canister filter?

If so, and it requires a separate pump, that rules it out for 90% of users, and mean it really only works with a sump - I guess you could use it without a sump, and just run from and into the display tank, but then you've got filtration issues?


Cleaning:
I think issue has already been raised, but how would you go about cleaning a full tank length pipe - I assume it would require complete disassembly? Again the sheer size requirements make this very difficult.


Some ideas:

I'm not trying to pick holes here, the concept is sound, I just don't think the implementation is at all practical. The solution to that might be simple though - at the end of the day you are just trying to achieve a target surface area exposure of water surface to the gas.

What immediately springs to mind is spiral and plate coolers used in brewing and other cooling applications. For those the aim is to maximise exposure time of the liquid to the heatsink, but they also need to limit the size and form factor, so the water is pushed through a network of channels, rather than in a linear fashion:

71spm8-vnnL.jpg


This could be the potential solution to your form factor problem. For example, instead of a tank length of rigid pipe, you could use a coil of flexible pipe - and perhaps (with some modification to prevent gas escape) create two or more vertical levels of coils with a couple of rigid elbows:

1685100262602.png


Again, I stull suspect it would require a separate pump and circulation loop to the tank or sump, which would end interest for the vast majority of users.

This of course would be the DIY solution, the commercial solution would be a moulded plastic affair with an inlet and outlet, that runs the water through a concentric circle with the gas void above. A removable lid would make for way cleaning of the cavity inside, and if pressure/flow loss isn't as much of an issue that I suspect it might be, this could be fabricated as a nice round disc that the canister filter can sit on top of, reducing usage of cabinet space. (EDIT: Actually, I assume that's what you are referring to in your post above?)
 

Hanuman

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Pump requirement:

What kind of pressure drop/flow rate decrease do you see with this system? I assume it's fairly significant, and not something that would work inline with a canister filter?

If so, and it requires a separate pump, that rules it out for 90% of users, and mean it really only works with a sump - I guess you could use it without a sump, and just run from and into the display tank, but then you've got filtration issues?
I think this bit I can answer. If I go this right, you don't actually need an additional pump since this is a passive system and only relies on your spray bar or out-flow flow which is positionned on the opposite side of the CO2 horizontal reactor.
 

Wookii

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I think this bit I can answer. If I go this right, you don't actually need an additional pump since this is a passive system and only relies on your spray bar or out-flow flow which is positionned on the opposite side of the CO2 horizontal reactor.

I think you're referring to the old 'Spray Bar' one that sat in tank, this is a sealed version that sits inline with the filter or separate pump (?)
 

LMuhlen

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I expect the pressure loss to be negligible, considering it is water flowing slowly through a large cross-section straight tube, with minimal connections along the way. Also, it seems that for noise reasons the flow is being kept strictly laminar.
 

Yugang

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Thank you @Wookii @Hanuman @LMuhlen , great to have some on this forum chewing and digesting, and hopefully that clarifies the ideas also to other readers. I realise my posts are not always the easiest to digest, so I will also try to be more clear and concise.

I think the biggest issue you are up against with this design is form factor. If my understanding is correct, the design advocates a length of (4"?) pipe the entire length of the tank - is that right? That simply isn't possible to install in 90% of cabinets - most cabinets of larger tanks have at least two dividers, so even 1/3rd tank length would be a challenge. My stand is open underneath the full 1500mm tank length, but even I wouldn't want, and couldn't realistically house, a full length 4" pipe.

I understand you might be able to split the length and run them in series one above the other, but again, that's not an easy install, and it standard to become very complicated to implement having say 4 x 375mm lengths of pipe for a 1500mm tank.
I don't prescribe any pipe length, or diameter. I even don't prescribe that a pipe should be used. When you follow the design calculations in the first post (I think I should repost a more concise and eloquent version that I wrote for another forum), the only prescription is the reactors CO2/water surface. Once you know the surface area, you could do that in a circular box (like the FX4 filter I posted earlier), a rectangular kitchen Tupperware box (for small tanks), a pipe where the product length*diameter gives the correct surface, or perhaps a combination of pipes as also @Unexpected has done.

If you like, please give me the dimensions of your tank, and I'll walk you through the calculations. There is so much flexibility in how you can implement the Horizontal Reactor concept, that I have no doubt you can find a good solution for your cabinet. And, as I demonstrated in the other thread, any given pipe length that you use as a Horizontal CO2 Reactor will pack more punch than the same pipe used in a vertical bubble reactor as this bubble reactor can't hold enough bubbles to meet the horizontal reactor's effective absorption surface area.

This is the reason that vertical reactor are so popular - they are easy to site, and don't take up much room.
The reason for vertical reactor is that nobody ever thought that we can make decent reactors without bubbles. As my calculations demonstrate, a horizontal reactor will be more compact than a vertical reactor, and besides that have many advantages that the bubble reactor does not have.

What kind of pressure drop/flow rate decrease do you see with this system? I assume it's fairly significant, and not something that would work inline with a canister filter?
You just include a horizontal large diameter pipe in your circuit, with a gentle river of water. The pressure drop will be negligible, certainly compared to bubble reactors. It is in fact just some extra length of tubing.

What immediately springs to mind is spiral and plate coolers used in brewing and other cooling applications
When we know the necessary surface area, we don't care about complexity of design. Just use a Tupperware box if your like, and forget the internal structure.

This could be the potential solution to your form factor problem.
In conclusion, I don't see any form factor problem at all. Happy to further discuss this if my remarks were not clear, or you don't buy it. Happy to do calculations for your tank, and this should be really straightforward. For demonstration of the concept, it could be nice if you post what bubble reactor is going to give you guaranteed success for you larger tank, and then we can then compare that to the Horizontal Reactor in a 'beauty contest' of designs.

This of course would be the DIY solution, the commercial solution would be a moulded plastic affair with an inlet and outlet, that runs the water through a concentric circle with the gas void above. A removable lid would make for way cleaning of the cavity inside, and if pressure/flow loss isn't as much of an issue that I suspect it might be, this could be fabricated as a nice round disc that the canister filter can sit on top of, reducing usage of cabinet space
You are correct, but there is little support required, added value if you like, from commercial solutions as we are using the simplest of the simplest.
You need a calculator with pen and paper, then you make a trip to the plumbing store and you buy a piece of plastic pipe and two end pieces to connect to your tubing. That's it, there is no complexity to be dealt with (like pumps, carefully shaped nozzles and flow patterns, needle wheels, diffusers, rotors, venturies), no difficult parts (not needed to make transparent) and in fact no role for commercial vendors unless they want to supply hobbyists with three or so standard dimensions (nano tank, 100 litre, 300 litre).

A removable lid would make for way cleaning of the cavity inside
Opening and cleaning of the reactor seems not necessary to me, as I wrote you could fill it with bioballs and get free of charge a bio filter capacity. Why would you want to clean it? If you insist, then buy end pieces with thread so that you can screw.

If I go this right, you don't actually need an additional pump
Correct

I think you're referring to the old 'Spray Bar' one that sat in tank, this is a sealed version that sits inline with the filter or separate pump (?)
I was about to comment. Indeed you are right.
Check.

I expect the pressure loss to be negligible, considering it is water flowing slowly through a large cross-section straight tube, with minimal connections along the way. Also, it seems that for noise reasons the flow is being kept strictly laminar.
Correct. We don't need strictly laminar flow (that is a confusion that goes back to my imperfect description of CO2 Spray Bar a year ago). Just a gentle river of water, nearly everything will do from that perspective. You just don't want a too powerful pump on it that turns the pipe into a water splashing, noisy, bubble ejecting washing machine. So I do recommend a bypass, as a gentle flow will make operation easiest.
 
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Wookii

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@Yugang do you have some photos of the designs you have tested so far and achieved a suitable pH drop. It might be useful to see them in the flesh so to speak. Have you been able to test the flow drop?

I’m likely not understanding the physics properly (not my field) but I don’t understand how water flowing into, and out of, a large open box or large diameter pipe, is going to maintain the same flow rate as without it?
 
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Yugang

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@Yugang do you have some photos
The short answer is perhaps Unexpected tank picture

pxl_20230412_175332559-jpg.jpg


I am trying to get everyone on board with the 'physics', which is a big word for actually very simple stuff. Apologise for any repeats, or sounding like a teacher, I just try my best to clarify.

How do I know that it works? It is because the physics is exactly equivalent to the CO2 Spray Bar that I tested for more than a year and reported most results in the thread . The 'physics' of CO2 Spray Bar is nothing more complicated than having a gentle stream of water, with a surface to a pocket of CO2 above it. It is at this CO2/water interface that CO2 absorption takes place:

1659516559719-png.png


1659516956621-png.png


Now the very simple next step is to take this whole water/CO2 interface out of the tank, and put it inside a closed tube that we can hang in our cabinet:

1667041652162-png.png


The physics (CO2 absorption from gas pocket to a water flow) is exactly the same, the only difference is that the water does not flow in the tank from back to front (from the water spray bar, and hitting the CO2 in the CO2 Spray Bar), but in a pipe from right to left in above diagram.

As I tested a lot with the CO2 Spray Bar I know how much CO2/Water surface I need for 1.5 pH drop in one tank, and can easily translate that to the Horizontal Generator on any other tank. In short, I explained that more clearly on this link , you want the ratio (tank surface area / Reactor surface area) to be about 17.7. From this simple starting point we can make some corrections, but remembering this ratio is enough.
I don’t understand how water flowing into, and out of, a large open box or large diameter pipe, is going to maintain the same flow rate as without it?
When you start with the situation that the closed pipe or box is 100% filled with water, the situation is quite clear. Water is pushed out from the exit, and if the box or pipe is big there will be very little pressure drop or flow reduction.
Now you start to inject CO2, so that a smaller gas bubble build in the top of the box/pipe. The box is closed, so no water or CO2 can leak and therefore water will flow from the exit, nearly same as without any CO2 inside. This continues until the gas pocket becomes so big, that the surface starts to touch the water outflow and CO2 bubbles start to escape from the reactor.
When you have the reactor in operation you will have a 'river of water' inside that will leave the closed reactor through the exit at nearly same speed, and no significant pressure drop, as compared to a fully water filled reactor without any CO2. Does this clarify the question?

Note: I built more than 10 CO2 Spray Bar prototypes to understand how it works and test pH curves in my tank. I was so happy with it, but it was that my SO became increasingly unhappy with me working in the kitchen of our apartment, that I decided to never build the Horizontal Reactor myself. It would simply have too little added value for my tank, and none for my understanding of the operation / physics.
 
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LMuhlen

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I’m likely not understanding the physics properly (not my field) but I don’t understand how water flowing into, and out of, a large open box or large diameter pipe, is going to maintain the same flow rate as without it?
There will be a flow rate reduction, anything that is added will have that effect. But it is going to be negligible. Probably not measurable.

Pressure drop, and by consequence the flow rate reduction, is proportional to the speed of the fluid squared. Furthermore, it is divided by the diameter and, for laminar flow, divided by the diameter again. All that is to say that an increase in the diameter, which reduces pressure drop and reduces flow speed, which in turn also reduces pressure drop, leads to a drastic reduction of pressure loss. A long piece of large diameter tubing will cause a pressure drop equivalent to a much shorter tube of standard diameter. Any curves in the tubing leading to the reactor itself should impact flow rate more than the reactor part.
 
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