Ok, I spared no expense and bought a flashlight at the local supermarket today, for EUR 3.99
(battery included). It is the Ledlites E3 and needs one AAA battery. The package says 16 lumen. I illuminated my lux meter in about 10 cm distance, and the light cone was about 10 cm^2, and it showed 11,740 lux. This is reasonable, because if 1,000 lumen illuminates 1m^2, the density measured in lux is 1,000 lux for this light power, so if it is concentrated on 10 cm^2, lux is equal to 100 times the lumen output, so the magnitude is right, if I understood this and my calculations are right. A pretty nice flashlight for this price. Of course there is already a review for it on Youtube:
I opened it to see what's inside, here are some pics:
I guess it is some kind of joule thief construction, a coil and the transistor might be on the back. Didn't want to destroy it, will do this after the test.
Then I connected the plus contact (it has some mini spring on the board, this might be a problem with the Batteroo sleeve), screwed in the tube (the tube, where the minus terminal of the battery is at the end, presses on the PCB board to close the circuit, when you turn it; I sanded it to connect a crocodile clip) and tested it with a power supply. The result is amazing, you can still see it very dim at 0.2 V (no regulation, at 1.5 V it uses about 310 mA, dropping fast with voltage) :
1.5 V: 11740 lux
1.4 V: 9970 lux
1.3 V: 8020 lux
1.2 V: 6010 lux
1.1 V: 3910 lux
1 V: 1950 lux
0.9 V: 1518 lux
0.8 V: 1166 lux
0.7 V: 859 lux
0.6 V: 630 lux
0.5 V: 380 lux
0.4 V: 250 lux
0.3 V: 129.5 lux
0.2 V: 57.2 lux
At 0.1 V it turned off. The ambient light was about 38 lux. It turns on again at 0.63 V when increasing the voltage.
At which light output should I say it is dead? At 0.9 V it is still bright enough that I can illuminate a paper in 1 m distance and read the text in darkness (about 1/8 of the max light power, but the eye is logarithmic, so it doesn't look that much darker). Would this be a good number? Below this it will decrease really fast anyway. The package says battery life time is 18 hours, so for the testing procedure might be sufficient to check it every half an hour or so with the lux meter, while using the other sleeve to create various curves.
More complicated than I thought to define a good test procedure for a flashlight.