here is some traditional imbert gasifier math from gasser guru Dutch John
calculating gas required to run an engine...
G = V x n x 0.5 x 0.48 x 0.72 [l/s]
60
G is the needed quantity of gas in liters per second
V is the engine displacement in liters
n is the rpm
0.5 is the four stroke factor
0.48 is the mixture composition (1: 1.1)
0.72 is the filling degree of the engine (assumption)
60 for the conversion to seconds
DJ's volvo example
Example: G = 2.32 x 2,750 x 0.5 x 0.48 x 0.72 = 18.4 [liter cold gas per second]
60
calculating the restriction
d = square root from (4/pi x G/Vi)
d is the restriction diameter
pi is 3.142
G is quantity of cold gas per second
Vi is the superficial velocity being: 2.5 [m/s] = 25 [dm/s] for an Imbert
Example: d = square root from ((4/3,142) x (18,4/25)) = 0.97 [dm] = 97 [mm]
from this you can calculate the rest of the dimentions
all of that should get you in the ball park.
I build what i consider a modified imbert so I usually calculate restriction sizes and use that as my starting point.