hello. i am trying to plot a graph of ut (terminal velocity) against D (diameter) and my code is as below. i can plot the data but somehow the graph is not what i expected it to be. can someone help me? thank you in advance!
% m-file to plot ut vs D
D=0:1e-3:5e-3;
ut=miniclasstest1920_i(D);
plot(D,ut);
[D(1) ut(1)];
[D(end) ut(end)];
ut1=miniclasstest1920_i(1e-5);
ut2=miniclasstest1920_i(5e-3);
[ut1 ut2]
% function miniclasstest1920_i
function ut=f(D)
rho_s=2350;
rho=1100;mu=2e-3;
g=9.81;
LD=length(D);
ut=zeros(LD,1);
for n=1:LD
u=zeros(10,1);
Re=zeros(10,1);
u(1)=1e-5;
Re(1)=(rho*u(1).*D(n))/mu;
err(1)=abs(Re(1)-0);
i=1;
while err(i)>1e-6
if Re(i)<0.2
u(i+1)=((g*D(n).^2)*(rho_s-rho))/(18*mu);
Re(i+1)=(rho*u(i+1)*D(n))/mu;
elseif 500<Re(i)<2e5
u(i+1)=sqrt((3.*D(n)*g*(rho_s-rho))/rho);
Re(i+1)=(rho*u(i+1)*D(n))/mu;
else
disp('odd')
end
i=i+1;
err(i)=abs(Re(i)-Re(i-1));
end
end
u=u(1:i-1);
ut(n)=u(end);
end

6 Comments

Jan
Jan on 15 Apr 2021
How can we help you based on the information "somehow the graph is not what i expected it to be"? We do not know, what you expect.
hello
code fixed !! the output of the function was incorrect (wrong index and not at the right position in the loop structure)
% m-file to plot ut vs D
D=0:1e-3:5e-3;
ut=f(D);
plot(D,ut);
function ut=f(D)
rho_s=2350;
rho=1100;
mu=2e-3;
g=9.81;
LD=length(D);
ut=zeros(LD,1);
for n=1:LD
u=zeros(10,1);
Re=zeros(10,1);
u(1)=1e-5;
Re(1)=(rho*u(1).*D(n))/mu;
err(1)=abs(Re(1)-0);
ci=1;
while err(ci)>1e-6
if Re(ci)<0.2
u(ci+1)=((g*D(n).^2)*(rho_s-rho))/(18*mu);
Re(ci+1)=(rho*u(ci+1)*D(n))/mu;
elseif 500<Re(ci)<2e5
u(ci+1)=sqrt((3.*D(n)*g*(rho_s-rho))/rho);
Re(ci+1)=(rho*u(ci+1)*D(n))/mu;
else
disp('odd')
ci
end
ci=ci+1;
err(ci)=abs(Re(ci)-Re(ci-1));
end
ut(n)=u(ci) ; % and not u(end)
end
end
thank you Mathieu NOE for fixing my code!
Glad I could help
have a good day
Jan
Jan on 16 Apr 2021
@Mathieu NOE: If you post this as an answer, it can be accepted.
tx for the reminder !
have a good day

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 Accepted Answer

hello again
official answer below :
code fixed !! the output of the function was incorrect (wrong index and not at the right position in the loop structure)
% m-file to plot ut vs D
D=0:1e-3:5e-3;
ut=f(D);
plot(D,ut);
function ut=f(D)
rho_s=2350;
rho=1100;
mu=2e-3;
g=9.81;
LD=length(D);
ut=zeros(LD,1);
for n=1:LD
u=zeros(10,1);
Re=zeros(10,1);
u(1)=1e-5;
Re(1)=(rho*u(1).*D(n))/mu;
err(1)=abs(Re(1)-0);
ci=1;
while err(ci)>1e-6
if Re(ci)<0.2
u(ci+1)=((g*D(n).^2)*(rho_s-rho))/(18*mu);
Re(ci+1)=(rho*u(ci+1)*D(n))/mu;
elseif 500<Re(ci)<2e5
u(ci+1)=sqrt((3.*D(n)*g*(rho_s-rho))/rho);
Re(ci+1)=(rho*u(ci+1)*D(n))/mu;
else
disp('odd')
ci
end
ci=ci+1;
err(ci)=abs(Re(ci)-Re(ci-1));
end
ut(n)=u(ci) ; % and not u(end)
end
end

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