Working on the equations today while I was at work, and I came up with the following:
Emission Rate <= Cylinder capacity maximum.
Emission Rate = steam volume / throttle percentage. (amount of steam in cylinder to be exhausted, based on the maximum steam that the cylinder will hold minus the amount of steam being admitted to the cylinder via throttle setting.
( pi * cylinder stroke * cylinderdiameter^2 ) * throttle percent + cuttoff percent / 2
Emission length = Wheel rps (determined by speed of locomotive )( RPS = 3600*S/(2*pi*R)) / number of cylinders * cutoff percent. i.e. length of time in seconds that one of the piston valves is open.
I'm going on two assumptions that I need verified: The throttle determines the volume of steam going into the open piston valve, and the cutoff determines how long the valve is open during the power and exhaust strokes.
Looking at this:
http://www.animatede...locomotive.html
It seems that the amount of steam admitted remains exactly the same at a given throttle setting? That seems confusing to me, because if the cutoff is closed, or nearly so, the steam isn't going into the cylinder, so then throttle percent * cutoff percent / 2 should be correct then? For the cylinder to receive steam equivalent to 100% of it's volume, both would have to be 100%. Closing the throttle to 50% would still only allow a maximum of 50% of steam volume, regardless if the cutoff is 100% open or not? This led me to conclude that the correct equation would be throttle percentage - ( 100% - cutoff percentage ).
So, if the throttle were at 50% full, and the cutoff was at 50%, half of the available steam from the throttle setting would go into the piston, which would allow half of the steam to pass through, meaning 25% is making it to the cylinder?
So, basically, the rate of steam particles will be dependent on the amount of steam going up the stack and will last as long as the piston valve is open on the exhaust stroke.
Next question is on stack smoke color.
Does the steam and smoke mix to the point that they blend in color? So, light smoke and heavy steam will be light grey, or do they really just exhaust from the stack separately? I watched several Youtube videos (great homework!) and it seems they sort of kind of stay separate?
Robert