I am fitting these curves in my MATLAB but the y-axis of every curve is not matching with that of the textbook figure. Can someone help in this. I am in real worry.

Question

Shubhangi Agrawal 2021-1-26

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/727118-i-am-fitting-these-curves-in-my-matlab-but-the-y-axis-of-every-curve-is-not-matching-with-that-of-th

编辑： Shubham Khatri 2021-2-3

This is the graph I want to plot-----

And the parameters are------

But I am getting this graph----

I am also attaching the code which I used-------------------------------------------------------------------------

% implement YanoandKoga1 Model as a Matlab anonymous function

YanoandKoga1 = @(S) 0.51*S./(1.413+S+(S.^2/1250)+(S.^3/4.561));

% calculate mu

mu = YanoandKoga1(S);

hold on

% plot result

plot(S,mu,'k --'), xlabel('S (g/l)'), ylabel('\mu (1/h)');

% implement YanoandKoga2 Model as a Matlab anonymous function

YanoandKoga2= @(S) 0.41*S./(5.23+S+(S.^3/2.64));

% calculate mu

mu = YanoandKoga2(S);

hold on

% plot result

plot(S,mu,'k-'), xlabel('S (g/l)'), ylabel('\mu (1/h)');

% implement AlagappanandCowan Model as a Matlab anonymous function

AlagappanandCowan= @(S)(0.82*S./(4.366+S+(S.^2/2.246)))-(0.004379*(S+2.985));

% calculate mu

mu = AlagappanandCowan(S);

hold on

% plot result

plot(S,mu,'k-o'), xlabel('S (g/l)'), ylabel('\mu (1/h)');

% implement WaymanandTseng Model as a Matlab anonymous function

WaymanandTseng= @(S)(0.3164*S./(0.7346+S))-((0.01618)*(S+0.2886));

% calculate mu

mu = WaymanandTseng(S);

hold on

% plot result

plot(S,mu,'k -.'), xlabel('S (g/l)'), ylabel('\mu (1/h)'), legend('YanoandKoga1','YanoandKoga2', 'AlagappanandCowan','WaymanandTseng');

axis([0 20 0 0.3])

set(gca,'YTick',[0 0.05 .1 0.15 0.2 0.25 0.3 ])

set(gca,'YTickLabel',[0 0.05 .1 0.15 0.2 0.25 0.3 ])

set(gca,'XTick',[0 2 4 6 8 10 12 14 16 18 20 ])

set(gca, 'XTicklabel', [0 2 4 6 8 10 12 14 16 18 20 ])

title('\mu vs S')

------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Can anyone tell where I am lacking?

Thanks in advance.

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VBBV 2021-1-26

在 MATLAB Online 中打开

% implement YanoandKoga1 Model as a Matlab anonymous function
YanoandKoga1 = @(S) 0.51*S./(1.413+S+(S.^2/1250)+(S.^3/4.561));
% calculate mu
mu = YanoandKoga1(S);
hold on
% plot result
plot(S,mu,'k --'), xlabel('S (g/l)'), ylabel('\mu (1/h)');
% implement YanoandKoga2 Model as a Matlab anonymous function
YanoandKoga2= @(S) 0.41*S./(5.23+S+(S.^3/2.64));
% calculate mu
mu = YanoandKoga2(S);
hold on
% plot result
plot(S,mu,'k-'), xlabel('S (g/l)'), ylabel('\mu (1/h)');
% implement AlagappanandCowan Model as a Matlab anonymous function
AlagappanandCowan= @(S)(0.82*S./(4.366+S+(S.^2/2.246)))-(0.004379*(S+2.985)); % NOTICE THE CHANGE IN SIGN 
% calculate mu
mu = AlagappanandCowan(S);
hold on
% plot result
plot(S,mu,'k-o'), xlabel('S (g/l)'), ylabel('\mu (1/h)');
% implement WaymanandTseng Model as a Matlab anonymous function
WaymanandTseng= @(S)(0.3164*S./(0.7346+S))-((0.01618)*(S+0.2886)); % NOTICE CHANGE IN THE SIGN 
% calculate mu
mu = WaymanandTseng(S);
hold on
% plot result
plot(S,mu,'k -.'), xlabel('S (g/l)'), ylabel('\mu (1/h)'), legend('YanoandKoga1','YanoandKoga2', 'AlagappanandCowan','WaymanandTseng');
axis([0 20 0 0.3])
set(gca,'YTick',[0 0.05 .1 0.15 0.2 0.25 0.3 ])
set(gca,'YTickLabel',[0 0.05 .1 0.15 0.2 0.25 0.3 ])
set(gca,'XTick',[0 2 4 6 8 10 12 14 16 18 20 ])
set(gca, 'XTicklabel', [0 2 4 6 8 10 12 14 16 18 20 ])
title('\mu vs S')

Shubhangi Agrawal 2021-1-26

Where is the change ?

VBBV 2021-1-26

编辑：VBBV 2021-1-26

I mean the desired coefficients for desired amplitudes you want may not be same. The amplitudes you shown in reference figure may require or is using different coefficients than the ones shown.

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Answer 1

Shubham Khatri 2021-2-3

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/727118-i-am-fitting-these-curves-in-my-matlab-but-the-y-axis-of-every-curve-is-not-matching-with-that-of-th#answer_613927

编辑：Shubham Khatri 2021-2-3

在 MATLAB Online 中打开

Hello,

You need to define a symbolic variable. You can define it by using syms. For more information on syms please refer to this documentation link. After defining the variable you need to define a range of values for which you need to find the value of the function. I have specified a range from 0 to 20 with an intervel of 0.01 in variable S. Also, I found some typos in the code which I have corrected. Please find the below code.

clc
clear all
syms S
% implement YanoandKoga1 Model as a Matlab anonymous function
YanoandKoga1 = @(S) 0.51*(S./(1.413+S+((S.^2)./1250)+((S.^3)./4.561)));
% calculate mu
S=0:0.01:20;
mu =YanoandKoga1(S);
hold on
% plot result
plot(S,mu,'k --'), xlabel('S (g/l)'), ylabel('\mu (1/h)');
% implement YanoandKoga2 Model as a Matlab anonymous function
YanoandKoga2= @(S) 0.41.*(S./((5.23+S+((S.^3)./2.64))));
% calculate mu
mu = YanoandKoga2(S);
hold on
% plot result
plot(S,mu,'k-'), xlabel('S (g/l)'), ylabel('\mu (1/h)');
% implement AlagappanandCowan Model as a Matlab anonymous function
AlagappanandCowan= @(S)0.82.*(S./(4.366+S+((S.^2)./2.246)))-(0.004379.*(S+2.985)); % NOTICE THE CHANGE IN SIGN 
% calculate mu
mu = AlagappanandCowan(S);
hold on
% plot result
plot(S,mu,'k-o'), xlabel('S (g/l)'), ylabel('\mu (1/h)');
% implement WaymanandTseng Model as a Matlab anonymous function
WaymanandTseng= @(S)(0.3164*(S./(0.7346+S)))-((0.01618)*(S+0.2886)); % NOTICE CHANGE IN THE SIGN 
% calculate mu
mu = WaymanandTseng(S);
hold on
% plot result
plot(S,mu,'k -.'), xlabel('S (g/l)'), ylabel('\mu (1/h)'), legend('YanoandKoga1','YanoandKoga2', 'AlagappanandCowan','WaymanandTseng');
axis([0 20 0 0.3])
set(gca,'YTick',[0 0.05 .1 0.15 0.2 0.25 0.3 ])
set(gca,'YTickLabel',[0 0.05 .1 0.15 0.2 0.25 0.3 ])
set(gca,'XTick',[0 2 4 6 8 10 12 14 16 18 20 ])
set(gca, 'XTicklabel', [0 2 4 6 8 10 12 14 16 18 20 ])
title('\mu vs S')