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t_pr.m
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function[t]=t_pr(p,r)
% temperature as a function of pressure and density (old tgas3.f)
r0 = 1.292;
p0 = 101330;
t0 = 273.15;
gascon = 287.06;
rho=r;
y=(log(rho/r0))/(log(10));
x=(log(p/p0))/(log(10));
if (abs(y+4.5)<.045)
iflag=0;
rsave= rho;
ym = y;
y= -4.5+.045;
yhigh = y;
rho = (10^y)*r0;
jflag = -1;
elseif (abs(y+0.5)<.005)
iflag = 1;
rsave = rho;
ym = y;
y = -0.5 + .005;
yhigh =y;
rho = (10^y)*r0;
jflag=-1;
else iflag = -1;
end
while(1)
z1 = x-y;
if (y>-0.5)
if (z1<= .25)
t = p/(rho * gascon);
elseif(z1 <= 1)
tnon = (-.00154141+.000658337*y) + ((.982201-.00385028*y)*z1) +...
((.000123111-.00040821*z1+.0000213592*y)*y*y) + ...
((.0377441+.00456963*y-.0235172*z1)*z1*z1);
t = (10^tnon)*t0;
elseif(z1<=1.45)
tnon = (.806492+.0991293*y) + ((-1.70742-.228264*y)*z1) + ...
((.005035-.00613927*z1+.000169824*y)*y*y) + ...
((3.02351+.131574*y-1.12755*z1)*z1*z1) + ((-.11793-.212207*y) ...
+ ((1.36524+.405886*y)*z1) + ((-.018823+.0165486*z1-.0005114*y)*y*y) +...
((-2.10926-.189881*y+.879806*z1)*z1*z1))/(1.0+...
(exp(195.9604-42.69391*y-173.4931*z1+37.62898*y*z1)));
t = (10^tnon)*t0;
else
if(z1>2.3)
error=true;
end
tnon = (-1.66249-.0891113*y) + ((4.11648+.0878093*y)*z1) +...
((-.00309742+.00199879*z1+.0000685472*y)*y*y) + ...
((-1.84445-.00750324*y+.305784*z1)*z1*z1) + ((11.1555+1.321*y) +...
((-17.1236-1.2919*y)*z1) + ((.0628124-.0307949*z1+.00157743*y)*y*y) + ...
((8.63804+.307809*y-1.42634*z1)*z1*z1))/(1.0+...
(exp(133.0611+8.979635*y-72.65298*z1-2.449009*y*z1)));
t = (10^tnon)*t0;
end
elseif (y > -4.5)
if (z1 <= 0.25)
t = p / (rho*gascon);
elseif( z1 <= 0.95)
tnon = (.020391+.0076731*y) + ((.848581-.0293086*y)*z1) + ...
((.000840269-.00147701*z1+.0000313687*y)*y*y) + ...
((0.267251+.0237262*y-.141973*z1)*z1*z1);
t = ((10^tnon)*t0);
elseif (z1 <= 1.45)
tnon = (-5.12404-.2847*y) + ((15.4532+.452475*y)*z1) + ...
((-.0122881+.00856845*z1-.000325256*y)*y*y) + ...
((-13.5181-.168725*y+4.18451*z1)*z1*z1) + ((7.52564+.835238*y) +...
((-19.5558-1.23393*y)*z1) + ((.033451-.0234269*z1+.000481788*y)*y*y) +...
((17.1779+.454628*y-5.09936*z1)*z1*z1))/(1.0+(exp(61.48442-18.28123*y-54.68755*z1+15.625*y*z1)));
t = (10^tnon)*t0;
elseif (z1 <= 2.05)
tnon = (-12.3779-1.14728*y) + ((24.1382+1.38957*y)*z1) + ...
((-.0363693+.0224265*z1-.000323888*y)*y*y) +...
((-14.2844-.406553*y+2.8752*z1)*z1*z1) + ((4.40782+1.33046*y) + ...
((-11.545-1.59892*y)*z1) + ((.053058-.0310376*z1+.00047765*y)*y*y) +...
((8.57309+.471274*y-1.96233*z1)*z1*z1))/(1.0+(exp(140.75-6.499992*y-77.5*z1+5.0*y*z1)));
t = (10^tnon)*t0;
else
if (z1>2.5)
error=true;
end
tnon = (-12.7244-1.66684*y) + ((17.2708+1.45307*y)*z1) + ...
((-.0364515+.0190463*z1+.000480787*y)*y*y) + ...
((-6.97208-.304323*y+.967524*z1)*z1*z1) + ((7.7133+.50834*y) + ...
((-9.8211-.449138*y)*z1) + ((-.000941787-.00240293*z1-.00082845*y)*y*y) +...
((4.1653+.0963923*y-.588807*z1)*z1*z1))/(1.0+(exp(-1092.654-305.312*y+465.6243*z1+131.2498*y*z1)));
t = (10^tnon)*t0;
end
elseif (z1 > 0.25)
if (z1 <= 0.95)
tnon = (.123718+.0108623*y) + ((.224239-.0824608*y)*z1) +...
((-.00117615-.00187566*z1-.000119155*y)*y*y) +...
((1.18397+.0648520*y-.55263*z1)*z1*z1);
t = (10^tnon) * t0;
elseif (z1 <= 1.4)
tnon = (-8.12952-.828637*y) + ((22.6904+1.41132*y)*z1) + ...
((-.0298633+.0270066*z1-.000228103*y)*y*y) + ...
((-19.1806-.578875*y+5.6258*z1)*z1*z1) + ((-3.99845+.226369*y) + ...
((2.52876-.728448*y)*z1) + ((.0109769-.0183819*z1-.00015138*y)*y*y) +...
((2.99238+.39144*y-2.04463*z1)*z1*z1))/(1.0+(exp(-38.87015-29.08228*y+40.70557*z1+26.82347*y*z1)));
t = (10^tnon) * t0;
elseif (z1 <= 1.95)
tnon = (-19.8573-1.67225*y) + ((37.6159+2.10964*y)*z1) + ...
((-.0340174+.0231717*z1-.0000980257*y)*y*y) + ...
((-22.2215-.644596*y+4.40486*z1)*z1*z1) + ((-5.36809+.241201*y) + ...
((-1.25881-.862744*y)*z1) + ((-.00379774-.00781335*z1-.000380005*y)*y*y) + ...
((5.58609+.378963*y-1.81566*z1)*z1*z1))/(1.0+(exp(20.8-25.6*y+1.0*z1+18.0*y*z1)));
t = (10^tnon) * t0;
else
if (z1>2.6)
error=true;
end
tnon = (-23.3271-1.89958*y) + ((32.144+1.68622*y)*z1) + ...
((-.0442123+.0282629*z1+.000663272*y)*y*y) + ...
((-13.8645-.340976*y+2.04466*z1)*z1*z1) + ((8.35474+1.71347*y) + ...
((-16.0715-1.63139*y)*z1) + ((.0414641-.0230068*z1+.0000153246*y)*y*y) +...
((8.70275+.360966*y-1.46166*z1)*z1*z1))/(1.0+(exp(111.5884-6.452606*y-53.37863*z1+2.026986*y*z1)));
t = (10^tnon) * t0;
end
else
t = p / (rho * gascon);
end
if(iflag==-1 || jflag==1)
return
end
if(jflag==0)
tlow = t;
t = tlow + (thigh - tlow) / (yhigh - ylow) * (ym - ylow);
rho = rsave;
return
end
thigh = t;
y = -4.5 - .045;
if(iflag==1)
y = -0.5 - 0.005;
end
ylow = y;
rho = (10^y) * rho;
jflag = 0;
end
end