Reading my course notes from 1979 I see that in UK land service we had three smoke generators in service at that time: No 8, No 24 and No 28.
From your thread it seems that the No 8 was in service at least in WW2. It was used during training but I have nothing to tell me for what purpose. Perhaps it was just a smaller, cheaper version of the larger generators? It was designed to emit smoke for 80 seconds.
The Mk 4 had a steel body and was 4 inches in diameter and 4 inches high. It was filled with priming, igniting and smoke composition with a total explosive filling of about 3 1/2 Lb. A hole in the top was covered with a cellulose acetate disc, presumably for waterproofing. For use the disc was pierced and a 6 inch length of safety fuze (Fuze Safety No 11 Mk 2) was inserted and lit with a Match Fuzee. The safety fuze burned for about 15 seconds and the priming composition for a further 5 seconds before passing the flame to the igniting composition and from that to the smoke composition.
The Smoke Generator No 8 Mk 5 was the same as the Mk 4 except that the filling was recessed to accept the Igniter No 8 Smoke Generator Mk 1 and 18 inches of twin cable for electrical ignition. For ignition the user had to employ 10 yards (30 feet) minimum of electric cable connected to a 6 Volt or 12 Volt battery. Smoke was emitted 5 seconds after ignition.
The Smoke Generator No 8 Mk 6 differed from the Mk 5 by having a steel clip welded to the closing disc and used an Igniter Smoke Generator No 8 Mk 2. Perhaps the steel clip was an anti-snatch device for the cable, so if someone were to snag a foot on the cable it might not detach the cable from the generator?
The Generator Smoke No 24 was 12 times bigger than the No 8, with a burning time of 11 - 18 minutes (not sure why not a more specific time). The Mk 2 version had a waterproof tear-off disc with a five second delay of primed cotton cambric underneath. Ignition was by match fuzee.
The Generator Smoke No 24 Mk 5 differed from the Mk 2 by having an Igniter Electric Smoke Generator No 84 Mk 1/1. Some also had a Relay Igniter Mk 1, allowing connection to another generator, to maintain smoke generation for a longer duration.
Generator Smoke No 28 had a smoke emission time of 5 minutes. The Mk 2 version had a match head igniter and Fuze electric F92 Mk 1/1. A celluloid igniter cover provided waterproofing prior to use. A hardwood striker covered in striker composition was wrapped in paper and taped to the top of the generator. It seems then that this version of the No 28 could be ignited manually and electrically. It could also be ignited by another No 28, by use of Igniter Relay Mk 2, similar to the relay ignition used with the No 24 Mk 5.
I hope this is of use to you.