NOVELTY - Hydrogen is generated in fuel supply system combined with hydrogen consuming device by storing slurry of lithium and/or sodium borohydride particles in water in storage vessel (10), conveying portion of slurry to inlet of axial flow-through reactor, reacting borohydride particles and water in reaction zone (20), removing reaction products, and conveying hydrogen gas to hydrogen consuming device.    USE - Used in the generation of hydrogen in fuel supply system combined with hydrogen consuming device.    ADVANTAGE - The invention is compact and generates a high yield of hydrogen gas.    DETAILED DESCRIPTION - The generation of hydrogen in fuel supply system combined with hydrogen consuming device involves storing slurry of lithium and/or sodium borohydride particles in water in storage vessel, the water containing dissolved hydride ion to inhibit chemical reaction with the borohydride at ambient storage temperatures of the slurry, the slurry comprising (wt.%) 1.6-2.5 parts of water/part of lithium borohydride or 1-1.5 parts of water/part of sodium borohydride; conveying portion of slurry to inlet of axial flow-through reactor upon demand for hydrogen from the hydrogen consuming device, the reactor having reaction zone; reacting borohydride particles and water in the reaction zone at above 90 degrees Celsius to produce reaction products comprising hydrogen gas and solid by-products while mixing the borohydride particles and solid by-products in the reaction zone to expose unreacted borohydride particle surfaces for reaction with water, and conveying the mixed materials through the reaction zone; removing the reaction products from the reactor; and conveying hydrogen gas to hydrogen consuming device or to hydrogen buffer (50) container for the device.    DESCRIPTION OF DRAWING(S) - The figure is a schematic view of the hydrogen generation system.    Storage vessel (10)    Screw pump (12)    Cooling source (18)    Reaction zone (20)    Inlet (22)    Outlet (24)    Buffer (50)