MATLAB code
MATLAB code: clear
clc
%air
psi=8.5; %psi on gauge
d1a=.25; %in dia inlet
d2a=.015; %in dia outlet
pa=.07647; %lbm/ft3 density
%fuel
p1f=14.6959488; %psi atmsophere
d1f=.25; %in dia inlet
h2f=.015; %in height outlet
w2f=.03; %in height outlet
n2f=6; %number of outlets pf=1.572; %lbm/ft3 density
qf=1.6; %gal/hr
%constants
g=32.174;
%air
p1a=psi+p1f; %pesure adjusted to actual
a1a=pi*(d1a/2)^2; %area inlet
a2a=pi*(d2a/2)^2; %area outlet
pa=(pa/g)/1728; %slug/in3 density
%fuel a1f=pi*(d1f/2)^2; %area inlet
a2f=6*(h2f*w2f); %area outlet
pf=(pf/g)/1728; %slug/in3 density
qf=(qf*231)/(3600); %in3/s
%solution
p2f=p1f-((qf/a2f)^2-(qf/a1f)^2)*(pf/2) p2a=p2f;
qa=(a2a*((2*(p1a-p2a)/pa)/(1-(a2a/a1a)^2))^.5); qf
p2f=p2f+.01
qf=(a2f*((2*(p1f-p2f)/pf)/(1-(a2f/a1f)^2))^.5)
MATLAB command window:
p2f =
14.6756
qf =
0.1027
p2f =
14.6856
qf =
0.0733