error message when trying ot integrate

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Rodrigo Blas
Rodrigo Blas 2020-4-23
评论： Rodrigo Blas 2020-4-23
To = 27 + 273.15; % C
vo = 2; % dm^3/s
cao = 0.1; % mol/dm^3
k1 = .01; % dm^3/mol*s
tha = 1;
thb = 1;
ha = -20000; hb=-15000; hc=-41000; % cal/mol
cpc = 30;cpa=15;cpb=15; % cal/mol*k
sumtcp = tha*cpa+thb*cpb;
delcp = cpc-cpb-cpa;
dhrx = hc-hb-ha;
E = 10000; % cal/mol
R = 1.987; % cal/mol*k
x1 = .85;
ca = cao*(1-x);
cb = cao*(1-x);
cc = cao*x;
fao = cao*vo;
%%CSTR VOLUME
T = To+(-dhrx)*x/((sumtcp)+delcp*x) ;
k = k1*exp(E/R*(1/To-1/T));
ra = -(k*(cao)^2*(1-x)^2);
vcstr = fao*x/(-ra);
%%PFR Vol
fun = @(x) fao/(-ra);
>> vpfr=integral(fun,0,x1)
Error using integralCalc/finalInputChecks (line 526)
Output of the function must be the same size as the
input. If FUN is an array-valued integrand, set the
'ArrayValued' option to true.
Error in integralCalc/iterateScalarValued (line 315)
finalInputChecks(x,fx);
Error in integralCalc/vadapt (line 132)
[q,errbnd] =
iterateScalarValued(u,tinterval,pathlen);
Error in integralCalc (line 75)
[q,errbnd] =
vadapt(@AtoBInvTransform,interval);
Error in integral (line 88)
Q = integralCalc(fun,a,b,opstruct);
>>
I keep getting this error message. Not sure how to fix
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Rodrigo Blas
Rodrigo Blas 2020-4-23
To=27+273.15; %%C
vo=2; %%dm^3/s
cao=0.1; %%mol/dm^3
k1=.01; %%dm^3/mol*s
tha=1;thb=1;
ha=-20000; hb=-15000; hc=-41000; %%cal/mol
cpc=30;cpa=15;cpb=15; %%cal/mol*k
sumtcp=tha*cpa+thb*cpb;
delcp=cpc-cpb-cpa;
dhrx=hc-hb-ha;
E=10000; %%cal/mol
R=1.987; %%cal/mol*k
x1=0.85;
ca=@(x) cao*(1-x);
cb=@(x) cao*(1-x);
cc=cao*x;
fao=cao*vo;
%%CSTR VOLUME
T=@(x) To+(-dhrx)*x/(sumtcp+delcp*x) ;
k=@(x) k1*exp(E/R*(1/To-1/T));
ra=@(x) -(k*ca*cb);
%%vcstr=fao*x/(-ra);%%
%%PFR Vol
f=@(x) fao./(-ra(x));
vpfr=integral(f,0,x1);
>> Jallohw9p6
Undefined operator '*' for input arguments of type
'function_handle'.
Error in Jallohw9p6>@(x)-(k*ca*cb)
Maybe make the part I want to integrate into a seperate function?
Would that be easier?

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采纳的回答

Ameer Hamza
Ameer Hamza 2020-4-23
Try this code and compare it with your code to see the issues.
To=27+273.15; %%C
vo=2; %%dm^3/s
cao=0.1; %%mol/dm^3
k1=.01; %%dm^3/mol*s
tha=1;thb=1;
ha=-20000; hb=-15000; hc=-41000; %%cal/mol
cpc=30;cpa=15;cpb=15; %%cal/mol*k
sumtcp=tha*cpa+thb*cpb;
delcp=cpc-cpb-cpa;
dhrx=hc-hb-ha;
E=10000; %%cal/mol
R=1.987; %%cal/mol*k
x1=0.85;
ca=@(x) cao*(1-x);
cb=@(x) cao*(1-x);
% cc=cao*x;
fao=cao*vo;
%%CSTR VOLUME
T=@(x) To+(-dhrx)*x/(sumtcp+delcp*x) ;
k=@(x) k1*exp(E/R*(1/To-1/T(x)));
ra=@(x) -(k(x).*ca(x).*cb(x));
%%vcstr=fao*x/(-ra);%%
%%PFR Vol
f=@(x) fao./(-ra(x));
vpfr=integral(f,0,x1);

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