Please help me to connect between three points with plot (draw line)
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I want to connect the three points (draw line) shown in the picture in the plot command.
function sol= proj
clc;clf;clear;
global lamda
%Relation of base fluid
rhof=1;
kf=0.613*10^5;
cpf=4179*10^4;
muf=10^-3*10;
sigf=0.05*10^-8;
alfaf=kf/(rhof*cpf);
%FE3O4
ph1=0.01;
rho1=5180*10^-3;
cp1=670*10^4;
k1=9.7*10^5;
sig1=0.74*10^-2;
%copper
ph2=0.01;
rho2=8933*10^-3;
cp2=385*10^4;
k2=401*10^5;
sig2=5.96*10^-1;
%Relation of hyprid
m=5.7;
kh=kf*((k1+(m-1)*kf-(m-1)*ph1*(kf-k1))/((k1+(m-1)*kf+ph1*(kf-k1))))*((k2+(m-1)*kf-(m-1)*ph2*(kf-k2))/((k2+(m-1)*kf+ph2*(kf-k2))));
muh= muf/((1-ph1)^2.5*(1-ph2)^2.5);
rhoh=rhof*(1-ph2)*((1-ph1)+ph1*(rho1/rhof))+ph2*rho2;
v1 =rhof*cpf*(1-ph2)*((1-ph1)+ph1*((rho1*cp1)/(rho2*cp2)))+ph2*(rho2*cp2);
sigh=sigf+(3*((ph1*sig1+ph2*sig2)-sigf*(ph1+ph2))/(((ph1*sig1+ph2*sig2)/(sigf*(ph1+ph2)))+2-((ph1*sig1+ph2*sig2)/sigf)+(ph1+ph2)));
alfah=kh/v1;
myLegend1 = {};
rr = [0.2 0.3 0.4];
for i =1:numel(rr)
Nt = rr(i);s2=1;
qq=[13 14 15];
Prf=qq(i);
an=0.1;Lb=1;Pe=0.1;
p=-0.5;q=-0.5;M=1; L=(muf/rhof);L1=L^(p);L1=L^(p);
delta=s2/(L1);
Nb=1; Nr=1;sc=0.45;gamma=pi/3;
a=25;b=0.1;v=1;u=1;
s1=1;s2=1;
s3=sqrt(a/(muf/rhof));
Tw=273+50;Ti=273+27;deltaT=Tw-Ti;
Lf=rhof*kf;
y0 = [1,0,1,0,0,1,0,1,0,1,0];
options =bvpset('stats','on','RelTol',1e-4);
m = linspace(0,1.5);
solinit = bvpinit(m,y0);
sol= bvp4c(@projfun,@projbc,solinit,options);
figure(1)
plot(qq(i),-(sol.y(11,1)),'s')
grid on,hold on
myLegend1{i}=['Nt = ',num2str(rr(i))];
grid on,hold on
i=i+1;
end
figure(1)
legend(myLegend1)
hold on
function dy= projfun(~,y)
dy= zeros(11,1);
% alignComments
E = y(1);
dE = y(2);
F = y(3);
dF= y(4);
W = y(5);
t = y(6);
dt = y(7);
phi = y(8);
dphi = y(9);
z=y(10);
dz=y(11);
dy(1) = dE;
dy(2) = (rhoh/muh)*((((a*u)/L1^(2)))*E^2+(1/L1)*W*dE+((sigh/sigf)/(rhoh/rhof))*(1/L1^2)*M*E*sin(gamma)*sin(gamma));
dy(3) = dF;
dy(4) = (rhoh/muh)*((((b*v)/L1^(2)))*F^2+(1/L1)*W*dF+((sigh/sigf)/(rhoh/rhof))*(1/L1^2)*M*F*sin(gamma)*sin(gamma));
dy(5) = -(1/L1)*(u*a*E+b*v*F);
dy(6) = dt;
dy(7) =(Prf*(rhof/muf))*(1/(Nr+(kh/kf)))*(((v1)/(rhof*cpf))*(1/L1)*W*dt-(muh/(rhof*cpf))*(L1/s1)*(1/deltaT)*(-(1/L1)*(u*a*E+b*v*F))^2);
dy(8)= dphi;
dy(9)=(sc/L^(p+1))*W*dphi-(s1/s2)*(Nt/Nb)*(((Prf*(rhof/muf)))*(1/(Nr+(kh/kf)))*(((v1)/(rhof*cpf))*(1/L1)*W*dt-(muh/(rhof*cpf))*(L1/s1)*(1/deltaT)*(-(1/L1)*(u*a*E+b*v*F))^2));
dy(10)=dz;
dy(11)=(Lb/((muf/rhof)*L1))*W*dz+Pe*delta*dz*dphi+(Pe*delta*z+((Pe*delta*an)/(s3*(muf/rhof)^q)))*((sc/L^(p+1))*W*dphi-(s1/s2)*(Nt/Nb)*(((Prf*(rhof/muf)))*(1/(Nr+(kh/kf)))*(((v1)/(rhof*cpf))*(1/L1)*W*dt-(muh/(rhof*cpf))*(L1/s1)*(1/deltaT)*(-(1/L1)*(u*a*E+b*v*F))^2)));
end
end
function res= projbc(ya,yb)
res= [ya(1)-1;
ya(3)-1;
ya(5)-0;
ya(6)-1;
ya(8)-1;ya(10)-1;
yb(1);
yb(3);
yb(6);
yb(8);
yb(10)];
end
0 Commenti
Risposte (1)
Voss
il 10 Feb 2023
Inside the loop, store the values necessary to plot the line after the loop. See the y_store variable below.
proj
function sol= proj
clc;clf;clear;
global lamda
%Relation of base fluid
rhof=1;
kf=0.613*10^5;
cpf=4179*10^4;
muf=10^-3*10;
sigf=0.05*10^-8;
alfaf=kf/(rhof*cpf);
%FE3O4
ph1=0.01;
rho1=5180*10^-3;
cp1=670*10^4;
k1=9.7*10^5;
sig1=0.74*10^-2;
%copper
ph2=0.01;
rho2=8933*10^-3;
cp2=385*10^4;
k2=401*10^5;
sig2=5.96*10^-1;
%Relation of hyprid
m=5.7;
kh=kf*((k1+(m-1)*kf-(m-1)*ph1*(kf-k1))/((k1+(m-1)*kf+ph1*(kf-k1))))*((k2+(m-1)*kf-(m-1)*ph2*(kf-k2))/((k2+(m-1)*kf+ph2*(kf-k2))));
muh= muf/((1-ph1)^2.5*(1-ph2)^2.5);
rhoh=rhof*(1-ph2)*((1-ph1)+ph1*(rho1/rhof))+ph2*rho2;
v1 =rhof*cpf*(1-ph2)*((1-ph1)+ph1*((rho1*cp1)/(rho2*cp2)))+ph2*(rho2*cp2);
sigh=sigf+(3*((ph1*sig1+ph2*sig2)-sigf*(ph1+ph2))/(((ph1*sig1+ph2*sig2)/(sigf*(ph1+ph2)))+2-((ph1*sig1+ph2*sig2)/sigf)+(ph1+ph2)));
alfah=kh/v1;
myLegend1 = {};
rr = [0.2 0.3 0.4];
y_store = zeros(1,numel(rr));
for i =1:numel(rr)
Nt = rr(i);s2=1;
qq=[13 14 15];
Prf=qq(i);
an=0.1;Lb=1;Pe=0.1;
p=-0.5;q=-0.5;M=1; L=(muf/rhof);L1=L^(p);L1=L^(p);
delta=s2/(L1);
Nb=1; Nr=1;sc=0.45;gamma=pi/3;
a=25;b=0.1;v=1;u=1;
s1=1;s2=1;
s3=sqrt(a/(muf/rhof));
Tw=273+50;Ti=273+27;deltaT=Tw-Ti;
Lf=rhof*kf;
y0 = [1,0,1,0,0,1,0,1,0,1,0];
options =bvpset('stats','on','RelTol',1e-4);
m = linspace(0,1.5);
solinit = bvpinit(m,y0);
sol= bvp4c(@projfun,@projbc,solinit,options);
figure(1)
y_store(i) = -(sol.y(11,1));
plot(qq(i),-(sol.y(11,1)),'s')
grid on,hold on
myLegend1{i}=['Nt = ',num2str(rr(i))];
grid on,hold on
i=i+1;
end
figure(1)
plot(qq,y_store,'k')
legend(myLegend1)
hold on
function dy= projfun(~,y)
dy= zeros(11,1);
% alignComments
E = y(1);
dE = y(2);
F = y(3);
dF= y(4);
W = y(5);
t = y(6);
dt = y(7);
phi = y(8);
dphi = y(9);
z=y(10);
dz=y(11);
dy(1) = dE;
dy(2) = (rhoh/muh)*((((a*u)/L1^(2)))*E^2+(1/L1)*W*dE+((sigh/sigf)/(rhoh/rhof))*(1/L1^2)*M*E*sin(gamma)*sin(gamma));
dy(3) = dF;
dy(4) = (rhoh/muh)*((((b*v)/L1^(2)))*F^2+(1/L1)*W*dF+((sigh/sigf)/(rhoh/rhof))*(1/L1^2)*M*F*sin(gamma)*sin(gamma));
dy(5) = -(1/L1)*(u*a*E+b*v*F);
dy(6) = dt;
dy(7) =(Prf*(rhof/muf))*(1/(Nr+(kh/kf)))*(((v1)/(rhof*cpf))*(1/L1)*W*dt-(muh/(rhof*cpf))*(L1/s1)*(1/deltaT)*(-(1/L1)*(u*a*E+b*v*F))^2);
dy(8)= dphi;
dy(9)=(sc/L^(p+1))*W*dphi-(s1/s2)*(Nt/Nb)*(((Prf*(rhof/muf)))*(1/(Nr+(kh/kf)))*(((v1)/(rhof*cpf))*(1/L1)*W*dt-(muh/(rhof*cpf))*(L1/s1)*(1/deltaT)*(-(1/L1)*(u*a*E+b*v*F))^2));
dy(10)=dz;
dy(11)=(Lb/((muf/rhof)*L1))*W*dz+Pe*delta*dz*dphi+(Pe*delta*z+((Pe*delta*an)/(s3*(muf/rhof)^q)))*((sc/L^(p+1))*W*dphi-(s1/s2)*(Nt/Nb)*(((Prf*(rhof/muf)))*(1/(Nr+(kh/kf)))*(((v1)/(rhof*cpf))*(1/L1)*W*dt-(muh/(rhof*cpf))*(L1/s1)*(1/deltaT)*(-(1/L1)*(u*a*E+b*v*F))^2)));
end
end
function res= projbc(ya,yb)
res= [ya(1)-1;
ya(3)-1;
ya(5)-0;
ya(6)-1;
ya(8)-1;ya(10)-1;
yb(1);
yb(3);
yb(6);
yb(8);
yb(10)];
end
2 Commenti
Voss
il 11 Feb 2023
You're welcome!
Where do the x- and y-coordinates of the points defining those two lines come from?
Once you have the coordinates, you can plot the lines.
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