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Only a fraction of the electrical energy.." - Sure, I realise that. I (thought I) used the
1W value which is UV emission rather than the 5W overall 'power' value.
(In fact - as another respondent pointed out I used 11W). I goofed with the 11W, which came from another example I was trying earlier, so thank you for telling me about that.
I meant to use the top row; here is a copy & paste of the top row from the data sheet
HCL5W/G23 12,5mm 83mm 5W 180mA 34V 9µW/cm2 1W I have now ammended the original post.
Regarding the sphere and presumably spherically symmetrical point source: That is the kind of idealised model I have seen in some text books. I would have thought this is not a useful way to present data for a tubular source.
I am really surprised that this is the way the data is shown, but your answer is very close to theirs so that is the most likely explanation.
Below I have repeated the 1m sphere calculation for all examples. The fairly consistent 'error' might be related to emission at other frequencies.
To judge whether a UV tube is suitable for a given use, I'd want to know the results for examples like that I tried to do at the start - "flux at some radial distance".
Q: Are my calculations & reasoning correct is this respect?
Many thanks for all the help!
I found what looks like good information here:
https://docs-emea.rs-online.com/webdocs/1506/0900766b81506d14.pdfFor the case of water sterilisation, an equation of the same form I had at the top (circumferance at X metres * length) does appear - but that is only to find the 'required' dose. Also, they use several lamps, around the circumference of the water tube. So it's not the same situation as my example.
To find what dose is delivered, they use one of two charts. The 1st is for distance under 0.5m. The second chart, where I assume things are sort of like a 1-D line of point sources applies for over 1m.
For a point source, I can see the square law applies. For a linear source we have a continuum of point sources. The flux would presumably be 'the integral of' the point source case, but I've not worked this out yet.