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#5 |
初级会员
注册日期: 2009-02-26
年龄: 45
帖子: 4
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程序虽然有些长,我想直接贴出来比较方便吧,如下:
function N=drawmesh(m4,m5) n=2; R=8.314; F=96485; T0=298; ra=5.5*10^8; rc=7.0*10^8; Ea=1.0^10^5; Ec=1.2*10^5; ila=2.99*10^4; ilc=2.16*10^4; p1=0.97; p2=0.21; p3=0.03; p0=1; Eel=8*10^4; o=3.6*10^7; L=20*10^(-6); s=-55.5666; h=-248303; k=1/100; i=14500; T=1073; %T=1173, i=17000 %T=1273, i=18500 % i can be 2000A/m^2 or 14500A/m^2 (where the power density of the fuel cell attains its maximum) g=h-T*s; i0a=ra*(p1/p0)*(p3/p0)*exp(-Ea/(R*T)); i0c=rc*(p2/p0)^(1/4)*exp(-Ec/(R*T)); E0=-g/(n*F); E=E0+R*T/(n*F)*log(p1*p2^(1/2)/p3); d1=2*n*asinh(i/(2*i0a))+2*n*asinh(i/(2*i0c))-log(1-i/ila)-log(1-i/ilc)+i*n*F*L/(o*R)*exp(Eel/(R*T)); nint=R*T*d1/(n*F); Pc=i*E-i*R*T*d1/(n*F)-(i*n*F*k)/(R*T*d1)*(E-R*T*d1/(n*F))^2; Nc=Pc/(-i*h/(n*F)); V=E-R*T*d1/(n*F); m3=1.1; x=1.2; f=@(T2)(-T0*(exp(-(T2*x-T2-log((T*x-T2)/x/(T-T2))*x*i*m4+log((T*x-T2)/x/(T-T2))*x*i*m4*Nc+log((T*x-T2)/x/(T-T2))*x*m5*T-log((T*x-T2)/x/(T-T2))*x*m5*T0)/m3/x/(-i*m4+i*m4*Nc+m5*T-m5*T0))-1)/(-exp(-(T2*x-T2-log((T*x-T2)/x/(T-T2))*x*i*m4+log((T*x-T2)/x/(T-T2))*x*i*m4*Nc+log((T*x-T2)/x/(T-T2))*x*m5*T-log((T*x-T2)/x/(T-T2))*x*m5*T0)/m3/x/(-i*m4+i*m4*Nc+m5*T-m5*T0))+x)-(T0*(lambertw(exp((-m3*T*T2*x^2+m3*T^2*x^2+m3*T2^2*x-log((T*x-T2)/x/(T-T2))*T*T2*x^2-T*T2*x^2+log((T*x-T2)/x/(T-T2))*T^2*x^2-log((T*x-T2)/x/(T-T2))*T2^2-T*T2+2*T*T2*x-log((T*x-T2)/x/(T-T2))*T^2*x+log((T*x-T2)/x/(T-T2))*T*T2-m3*T*T2-2*m3*T*T2*x+m3*T^2*x+m3*T2^2+log((T*x-T2)/x/(T-T2))*T2^2*x)/m3/(T^2*x^2-T^2*x-T*T2*x^2+T*T2+T2^2*x-T2^2))/(x-1))*x-lambertw(exp((-m3*T*T2*x^2+m3*T^2*x^2+m3*T2^2*x-log((T*x-T2)/x/(T-T2))*T*T2*x^2-T*T2*x^2+log((T*x-T2)/x/(T-T2))*T^2*x^2-log((T*x-T2)/x/(T-T2))*T2^2-T*T2+2*T*T2*x-log((T*x-T2)/x/(T-T2))*T^2*x+log((T*x-T2)/x/(T-T2))*T*T2-m3*T*T2-2*m3*T*T2*x+m3*T^2*x+m3*T2^2+log((T*x-T2)/x/(T-T2))*T2^2*x)/m3/(T^2*x^2-T^2*x-T*T2*x^2+T*T2+T2^2*x-T2^2))/(x-1))-1)/(lambertw(exp((-m3*T*T2*x^2+m3*T^2*x^2+m3*T2^2*x-log((T*x-T2)/x/(T-T2))*T*T2*x^2-T*T2*x^2+log((T*x-T2)/x/(T-T2))*T^2*x^2-log((T*x-T2)/x/(T-T2))*T2^2-T*T2+2*T*T2*x-log((T*x-T2)/x/(T-T2))*T^2*x+log((T*x-T2)/x/(T-T2))*T*T2-m3*T*T2-2*m3*T*T2*x+m3*T^2*x+m3*T2^2+log((T*x-T2)/x/(T-T2))*T2^2*x)/m3/(T^2*x^2-T^2*x-T*T2*x^2+T*T2+T2^2*x-T2^2))/(x-1))*x-x-lambertw(exp((-m3*T*T2*x^2+m3*T^2*x^2+m3*T2^2*x-log((T*x-T2)/x/(T-T2))*T*T2*x^2-T*T2*x^2+log((T*x-T2)/x/(T-T2))*T^2*x^2-log((T*x-T2)/x/(T-T2))*T2^2-T*T2+2*T*T2*x-log((T*x-T2)/x/(T-T2))*T^2*x+log((T*x-T2)/x/(T-T2))*T*T2-m3*T*T2-2*m3*T*T2*x+m3*T^2*x+m3*T2^2+log((T*x-T2)/x/(T-T2))*T2^2*x)/m3/(T^2*x^2-T^2*x-T*T2*x^2+T*T2+T2^2*x-T2^2))/(x-1))))); T2=fzero(f,1000) T4=-T0*(exp(-(T2*x-T2-log((T*x-T2)/x/(T-T2))*x*i*m4+log((T*x-T2)/x/(T-T2))*x*i*m4*Nc+log((T*x-T2)/x/(T-T2))*x*m5*T-log((T*x-T2)/x/(T-T2))*x*m5*T0)/m3/x/(-i*m4+i*m4*Nc+m5*T-m5*T0))-1)/(-exp(-(T2*x-T2-log((T*x-T2)/x/(T-T2))*x*i*m4+log((T*x-T2)/x/(T-T2))*x*i*m4*Nc+log((T*x-T2)/x/(T-T2))*x*m5*T-log((T*x-T2)/x/(T-T2))*x*m5*T0)/m3/x/(-i*m4+i*m4*Nc+m5*T-m5*T0))+x) T1=T2/x T3=x*T4 u=(T-T1)/(T-T2); v=(T3-T0)/(T4-T0); Nt=1-T4*(x-1)/(m3*log(v))*((i*m4*(1-Nc)-m5*(T-T0))^(-1)-log(u)/(T2*(1-1/x))) Pt=(-i*h/(n*F)*(1-Nc)+h*m5/(n*F*m4)*(T-T0))*Nt N=Nc+Nt*(1-Nc-m5*(T-T0)/(m4*i)) P=(-i*h/(n*F))*N % to plot N-i-T type ezmesh(@drawmesh,[14500,17000,1073,1273]) in the command window |
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