(ie. solid rocket fuel from heavy oil).
Heavy oil doesn't make rocket fuel...? You mean Kerosene maybe?
I add sulfur to the lubricant recipe, to spice it up a tad and make it a little more like how lubricants are made.
https://www.machinerylubrication.com/Read/28548/sulfur-used-in-lubrication
I see.
as one can not derive elemental sulfur and elemental hydrogen from a single process (at least to my understanding)
According to this https://consequential-lca.org/clca/by-products-recycling-and-waste/not-fully-utilised-by-product/example-sulfur-from-refineries/, sulfur is typically processed by oxygen, not water.
Sulfur is a by-product of processing natural gas and refining high-sulfur crude oils. According to US EPA most of the 68,000,000 metric tons of sulfur produced worldwide in 2012 was a by-product from refineries and other hydrocarbon processing plants (US EPA 2014).
The most common conversion method used in refineries is the Claus process, named after the scientist that first patented the method (US EPA):
The process consists of multistage catalytic oxidation of hydrogen sulfide according to
the following overall reaction:
2H2S + O2 → 2S + 2H2O
The Claus process involves burning one-third of the H2S with air in a reactor furnace to form sulfur dioxide (SO2) according to the following reaction:
2H2S + 3O2 → 2SO2 + 2H2O + heat
The remaining un-combusted two-thirds of the hydrogen sulfide undergoes Claus reaction (reacts with SO2) to form elemental sulfur as follows:
2H2S + SO2 ←→3S + 2H2O + heat
Sulfur is an important component of fertilizer, but also has many other industrial uses.
And currently, you need the hydrogen back from that hydrogen sulfide to keep the refinery running. I should add a water electrolysis recipe, if I do that.