Solving a system of mass balance equations with implicit variables

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Zain Shabeeb 2019-7-20

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https://ww2.mathworks.cn/matlabcentral/answers/472631-solving-a-system-of-mass-balance-equations-with-implicit-variables

编辑： Torsten 2019-7-22

Schab model mass balance equations.PNG

Hi,

I want to solve a system of mass balance equations which have concentrations implicit in them. I have attached a photo of the mass balance equations above. 'n' = 1:15 and 'm' = 1:20. so it is a 15 by 20 column of cells. I want to apply the mass balance so that it can update the concentrations of the cell (m,n) but there is no equation for the concentration separately and concentrations cannot be written explicitly (they are also part of the 'tNa' and 'tA' terms, and they cant be explicitly written in those terms)

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Zain Shabeeb 2019-7-22

Another problem I am having is that the 'C' terms are implicit in the mass balance equations and cannot be separared.'t' is a function of 'C' and so in the mass balance equations, 'C' cannot be made explicit. So if i write the mass balance equations in a loop, how will the 'C' terms get updated after each loop iteration?

Torsten 2019-7-22

编辑：Torsten 2019-7-22

The C-terms get updated by the ODE-integrator because they are the solution variables. You specify dC(m,n)/dt (m = 1,...,20 ; n = 1,...,15), and the formula you provided is explicit for

dC(m,n)/dt .

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