How to format the figure from 2-D to surface figure like as the attached figure. The third axis represnt different values for Bi "Take any value for Bi"
Show older comments
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 = {};myLegend2 = {};
rr = [1 10 20]
for i =1:numel(rr)
Re = rr(i);
Bi=1;
Prf=2;
p=-0.5; L=(muf/rhof);L1=L^(p);Lt=L1^+1;
Nr=0.1;
gamma=pi/3;
a=1;b=0.1;v=1;u=1;
M=3;
Nt=1;Nb=1; sc=0.6;s1=1;s2=1;
Tw=273+50;Ti=273+27;deltaT=Tw-Ti;
Lf=rhof*kf;
y0 = [1,0,1,0,0,1,0,1,0];
options =bvpset('stats','on','RelTol',1e-4);
m = linspace(0,4);
solinit = bvpinit(m,y0);
sol= bvp4c(@projfun,@projbc,solinit,options);
disp((sol.y(1,20)))
figure(1)
plot(sol.x,(sol.y(6,:)))
grid on,hold on
myLegend1{i}=['Pr = ',num2str(rr(i))];
xlabel('eta');
ylabel('(thetas-thetaf)/thetas');
i=i+1;
end
figure(1)
legend(myLegend1)
hold on
function dy= projfun(~,y)
dy= zeros(9,1);
% 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);
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) =(Bi*Prf*(rhof/muf)*Re)*(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));
end
end
function res= projbc(ya,yb)
res= [ya(1)-1;
ya(3)-1;
ya(5)-0;
ya(6)-1;
ya(8)-1;
yb(1);
yb(3);
yb(6);
yb(8)];
end

2 Comments
Syed Sohaib Zafar
on 4 Aug 2023
Hello..
You are coding for 2-D plot. To Get surface plot you must set a grid (x,y) with Bi and eta values and their resultant values in Z.
T K
on 10 Aug 2023
Answers (1)
Syed Sohaib Zafar
on 5 Aug 2023
1 vote
Hello.. You are coding for 2-D plot. To Get surface plot you must set a grid (x,y) with Bi and eta values and their resultant values in Z.
1 Comment
Syed Sohaib Zafar
on 5 Aug 2023
And find theta for different Re.
Categories
Find more on Creating, Deleting, and Querying Graphics Objects in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!