Gents, great addition to the engineers tool box. Could I ask two favours, Q is energy or power (energy flow rate) using mass or mass flow rate respectively (no mix & match). This brings me to the second point, units. Pls stipulate units. As an example, pressure can be in many units, i.e. pa, bar, psi, mmHg, mmH2O to name a few. We don't want to be using l/s when we should be using kg/s by accident.

Thanks for sharing guys 😅 I am definitely no maths teacher and this was a video to share with and help others who had gone through the Heat Geek training. We are all learning, and if there are any areas that are incorrect, I would be grateful to know where specifically. It certainly works in my calculations.

Good stuff :) As an extension to this, which may help to simplify things further, I noted that a lot of the elements of that equation are constants so we can group all of these together and figure out a slightly simpler equation multiplying all the variables by a single constant (which is approximate/rounded due to pi etc). The result of the algebra gives in general: d = 17.4 * sqrt(P / (v * deltaT)) You could take this further by saying that for a boiler installation with deltaT = 20, d = 3.9 * sqrt(P / v) or for a heat pump installation with deltaT = 7, d = 6.6 * sqrt(P / v) Hopefully those equations make sense written down that way :) ...and to echo an earlier comment, you do have to make sure that the units are the same otherwise these constants won't work and the calculation for d will end up being ridiculous!!

This is brilliant thanks for sharing, comes over really well mate cheers.

Brilliant! Written this one down in the awakening course notes

thanks for the tips , really useful explanation

Like so many of the heat geek videos. I can follow the science. Or in this case the maths to work out the pipe size to use. At times I was filling in the equation before he wrote it. Once he started it off. He should have been a teacher. His explanation of how and why he was doing things was first class. Better than most maths teachers I had. The rest of the symbols and graphics no idea. The introduced example figures. One can only assume are written in the specs of the heat pump somewhere. Never going to fit one so doesn't really matter. But as an info nerd I enjoyed the video. Most of your videos are food for thought which makes them interesting.

My head is hurting after all that... Will make a spreadsheet out of it. Brill work!

Well done Micheal , Adam I managed to put the equation in a scientific calculator and got the same answers. But not sure how without a scientific calculator how would work it out.

Bloody brilliant. 👍

We've been looking at the various online resources relating to heating and heat pumps for a while now and a lot of times you watch an installer seemingly throw out a magic value for heat capacity but how they got to those values never made any sense until now. Things like "why are you multiplying by 4.2?" "Where does that 0.9" figure come from. I'm no heating engineer, as I'm sure you can tell, but I now think I have a reasonable understanding of the maths to have been able to recreate the formulas for our house so now having those conversations with a Heat Geek won't feel quite as daunting when we get to that stage of the process.

How can Q/1000 = P/(c*dT) be equal to Q = P/(1000c*dT) it should be, because we have to multiply with 1000, Q = 1000*P/(c*dT)

A useful rule of thumb I discovered on a plumbing forum was "One kWhr will heat 1 tonne of water by 1 degree C", so delta T of 20C will deliver 2 kW if the flow is 0.1 tonnes per hour. From memory its only 92% accurate, but good enough to sanity check your calculations.

Thanks for this. Using this calculation a 6mm pipe would be good for 2Kw, (one big radiator). Yet micro-bore pipes seem to be frowned upon these days. I've seen 15mm recommended to each radiatior. Is there something else I'm missing?

Am I right in assuming that the formulas would be using the inside diameter of the pipe? 10mm OD copper is about 8mm ID which would reduce the capacity significantly.

If Q is the mas flow rate, where do you get the value for v from?

how to do this on an iphone or can you ??

I wish i could understand these formulas ??

Thanks for sharing 👍

nice one guys, thank you! regarding the velocity, is there a max speed not to be exceeded for the fluid in the radiator to be noiseless please?

Damn, could have went with 15 instead of 22s!

Could someone just print some tables to use

Can you adjust the velocity (flow rate) and/or power to accommodate existing pipe diameter?

So how do you punch that equation in to a calculator??