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jmt71-Visitor
1-Visitor
January 16, 2018
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Equation solving challenge

  • January 16, 2018
  • 2 replies
  • 3923 views

Hi everyone,  I´m currently working on a particle retention research. I work with mathcad and I´ve reached a point at which solving an equation actually became a challenge that can no longer keep for myself. Said so, I would be really thankful if someone could help me out with this.

Let me explain the situation: I need to find an equation that allows me to match experimental data to the Ho-Zydney model. I´ve tried to do so by working with 4 independent variables which values I must guess, however, doing this takes too much time, as I have to adjust them (or at least try to) one by one. So, I tried to find out a way by using odsolve, but this is not helping me minimize the guess values to those 4 parameters. I´ve been Reading a paper that claims to solve that situation by using Euler´s method and some iterative process, this paper however, does not give much detail about it, so I guess I should stop trying to guess and find another way to solve my problem.

Thank you in advance, I am open to advices related to this particular challenge.

Best answer by Werner_E

I am not sure what the number 6894.6 should be which you have as scaling in the plot but if its your goal the the two graphs (Experimental data and Ho-Zydney) should be the same, here is a possible solution:

Bild.PNG

 

 
 

2 replies

W
Werner_E25-Diamond IAnswer
25-Diamond I
January 16, 2018

I am not sure what the number 6894.6 should be which you have as scaling in the plot but if its your goal the the two graphs (Experimental data and Ho-Zydney) should be the same, here is a possible solution:

Bild.PNG

 

 
 
    J
    jmt71-VisitorAuthor
    1-Visitor
    January 16, 2018

    Thanks for your time, and obviosly I would like to ask you just one question about your answer, please could you explain me how the second "Given" that you used works?.

    Thank you.

    PD: the number it is a convertion factor

     

     

    F
    Fred_Kohlhepp23-Emerald I
    23-Emerald I
    January 16, 2018

    I think you're getting wrapped up in unit conversions.

     

    You specify Pin in Pa, and PolExp in psi, then try to fit a differential equation solution. 

     

    Work at sorting out consistent units (and don't forget "UnitsOf()" function)

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