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Optimization function needs to integrated in problem

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Kaiser Ahmed Bhuiyan
Kaiser Ahmed Bhuiyan on 17 Jun 2020
Answered: Matt J on 17 Jun 2020
Hi,
I have a function σ=σ_W+kT/(rS_W )* ln⁡((1-Ka_s)/(1-Ka_s (1-C) ))
here, the value of r , K ,C needs to be sorted out by optimization .
sigma is the surface tension , S_W = 10^-19 , k = 1.38*10^-23 , T=298 K ; a_s= needs to take value from excel file.
my constraints are : 0<K<1 , C>0 and no constraints for r .
i was suggested to use fmincon function to do this ... but i don't have clear idea of this .
Could someone please help ?

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Answers (1)

Matt J
Matt J on 17 Jun 2020
No, it's just a linear equation. Expand the ln() into two terms and rewrite as
σ=σ_W+kT/(rS_W )* ln⁡((1-Ka_s) - kT/(rS_W )*ln(1-Ka_s (1-C) ))
=Known1 +A*Known2+B
where A=k/r and B=kT/(rS_W )*ln(1-Ka_s (1-C) )). This is an unconstrained linear equation in A and B.

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