Non Dimensionalization Of Self Similar Curves

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SULENDER SAHU
SULENDER SAHU 2022-3-5
编辑： Torsten 2022-3-5
How can I non dimesionalize these self similar curves along x-axis.
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Torsten
Torsten 2022-3-5
编辑：Torsten 2022-3-5
Plotting the outcomes in non-dimensional quantities (x/L versus V/Vmax) as above seems to show that they exhibit a different behaviour due to some parameter I don't know (35,60,100,135). So merging the curves (whatever you mean by this) does not make sense in my opinion.
There might be one single function f(x/L,s) depending on a spreading parameter s that gives the four curves for different values of this spreading parameter. Is it such a function you are looking for ? Then try exp(-((x/L-60)/s)^2), e.g.
SULENDER SAHU
SULENDER SAHU 2022-3-5
编辑：SULENDER SAHU 2022-3-5
Yes exactly...I need one single function f(x/L,s) and this function will give different curves upon plugging the different values of s into that function

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Torsten
Torsten 2022-3-5
编辑：Torsten 2022-3-5
s = 2:10
f = @(x,a)exp(-((x-60)/a).^2)
x = 40:0.01:80;
for i = 1:numel(s)
fnum(:,i) = f(x,s(i));
end
plot(x,fnum)
By the way: The attribute "self-similar" is reserved for a phenomenon in connection with fractals. It's wrong in the given context.

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