it’s not just that tho…it’s about how the entire baron fuel system works that needs to be addressed…
fuel pumps off, you have 0 control…either fuel flows or it doesn’t, but there is no calculation that says x% mixture is needed minimally for combustion while Y% is the maximum needed at which the cylinder is flooded with excess gas and cools the egt and reduces rpm slightly…then if you add fuel pump, all it does is ensure there is adequate pressure on the fuel lines given the baron is a low-wing aircraft, that during less than 1g maneuvers fuel will still be forced to the high-mounted engines. it does affect fuel flow in these extreme conditions as without the fuel pump, the fuel flow (and thus mixture ratio) will be lessened due to lack of sufficient pressure of fuel and not enough fuel will reach the engine for the mixture selected.
to fix the fuel issue is a big thing to overhaul the fuel system.
first, you need to know the fuel pressure given the configuration of the aircraft and fuel in the tank at the drain port…less fuel makes less pressure on the feed drain port, so as you run lower on fuel, the pressure will exponentially lessen (not linearly).
once you know how much fuel pressure is available, you need to know how much fuel pressure is changed via the tubing that takes the fuel from the tank to the port. fuel fed from the right wing won’t have the pressure on the left wing it does due to the extra run length to get it there.
now that you know what the pressure is at the cylinders, you can calculate how much fuel is available for the mixture lever to utilize. so calculate the min and max thresholds for mixture control given the air density (mathematically a figure of the displacement of the cylinder, you need a particular amount of air for a particular amount of fuel for perfect combustion) and see where the mixture is at given the available pressure. the mixture only produces a set ratio of air to fuel, but with less pressure, the fuel part is lessened overall…even maxing the mixture to full will still take in more air keeping the imbalanced mixture. the fix for this situation is improve the fuel pressure via the pumps.
once you have the ratio for perfect combustion, you have to figure out the minimum mixture to sustain combustion at all and the effect on the rpm that will have.
you also will need the ratio for full mixture richness and the effect of oversaturation of the fuel into the cylinder and what that does to the rpm, which isn’t nearly as much as getting the mixture close to cutoff point…
then you can add in the pressures supplied by the boost pump, in this case low and high will have different pressures, but since the other factors are all based on the current pressure to the engine cylinders, this just adjusts the available fuel
the actual numbers for pressures and ratios are simple to get a ballpark and can be changed to get more accurate reflections, but if you build the model of the system based on digital descriptions of the real world components with all their various attributes, it makes for a totally realistic system overall…