Post by
IvoryJ30t »
https://forums.nicoclub.com/ivoryj30t-u9485.html
Thu Aug 12, 2004 3:52 pm
first, you need to do some calculations.
you need to convert metric displacement to cubic inches.
2.4L x 61 [cubic inches per liter] = 146 ci [ i rounded to 145 for the graph].
now, you need the absolute temperature in rankin. rankin is on the farenheit scale. since i used 70F, you need to add 70 to 460. 460 is the absolute temperature of 0F. 460 + 70 = 530 degrees rankin.
and were using sea level [14.7 psia]
now, take your displacement in ci, and divide it by 1728. write that number down, because its constant through the calculations because displacement doesnt change. [ 0.08449074]
now, the other half of the volume flow equation is to multiply that number by one half of RPM. rpm needs to be divided in half because the KA is a 4 cycle motor and only half the displacement is pumped per revolution. for 5000 rpm, you multiply 0.08449074 by 2500 [half of 5000]
at 5000 rpm, the motor is pumping 211.22685 CFM [cubic feet per minute] you need to do that calculation for every rpm point you want to graph.
CFM= ( CID/1728)x(RPM/2)
now, you need to convert the raw CFM into a mass flow that is useful.
heres where it gets sticky, after you have calculated the CFM flow for the RPM points you want to graph, you need to calculate the mass flow for all the pressure ratios you want to see. if you use 1 2 and 3 as the PR's, you just have to plot the 3 points on the graph for the specific RPM, and connect the dots.
lets continue with 5000 RPM.
a PR of 1 is no boost. its atmospheric pressure. therefore we will use 14.7 psi as the absolute pressure since theres no compression in the turbo.
lbs/min= (absolute pressure * CFM * 29) / ( 10.73 * absolute temperature)
for a PR of 1, take 14.7 psi, multiply by 211.22685, and multiply that number by 29. you get 90046.006155
take the absolute temperature of 530 rankin [70F] and multiply by 10.73 you get 5686.9
divide 90046.006155 by 5686.9 and you get 15.8339 lbs/min
multiply the lbs/min by .85 [see explanation at bottom] =13.458815 lbs/min. therefore, the dot for 5k RPM and a PR of 1 would go on the intersection of PR 1 and 13.46lbs/min on the flow chart.
{when you figure for a PR of 2, you use 29.4 for absolute pressure.a PR of 3 is 44.1 [this is assuming 14.7 psi atmospheric pressure.]}
you need to do the first equation for every RPM point you want to graph, and you need to do the second equation for every PR you want to plot for each RPM line.
for example, i did the first equation 4 times since i calculated 4 RPM lines. next, i had to do the second equation for each PR point on each RPM line. i used 3 points [pr 1,2,3]. therfore i used the first equation 4 times, and the second equation 12 times. [3 pr points, 4 rpm lines]
the lines are formed by connecting the dots you form from the second equation.
now, after you have done all the calculations for the points you want to graph, you need to multiply the final numbers by .85 that corrects for volumetric efficiency.
after you have corrected all the points [*0.85], plot them on the flow chart. connect the dots you make.