There is definitely a procedure. Your manual is your best bet, as there are numerous possibilities on how the fuel system is bled on your particular machine.
Generally, the water separator / filter can be either left loose (so air can escape) with the fuel petcock open until fuel begins spilling out. Some separators will have a bleeder valve or bolt that can be loosened to accomplish the same thing.
If air has been moved past the separator, the procedure may involve opening a bleeder knob or bolt further downstream, and either turning the key on to the start position with the engine not running (electric lift pumps), or cranking the engine on mechanical lift pump systems.
If you have to crank the engine with a bleeder, be sure to limit the cranking time and allow a significant cooling period between attempts.
Finally, some systems self bleed without bleeder screws. My ZD Mowers get the key left on (not running) for a minute or two to bleed air from the system.
