So for all all offends this, uh, this curve will be the same.
#Freemat format int into long plus#
And so you could see that for para fins that is, and over to end plus two were And as an integer for all offends, it's just one half. So again, I define this x hat as to be the ratio of the X over y. And so if we want 2% or the theoretical air, um, we can divide this by this, and we get this expression here.
So this ratio is all we really need to find is this eyes this value here don't need the We don't need anything else Thio to get our what were as looking for Because the we know the story geometric ratio is this for a general hydrocarbon. And then also the If we had, whether we have asked air or pure oxygen. So let's see here we then get this racial and that ratio is a function of the hydrocarbon and then simply the dry, more percentage of co two. Um, in terms off, these are all going to be in terms of the story geometric constant for the for the fuel. We Can we have this? You can find, um, the, uh, psychometric constant for the oxygen. Well, here we have, um, b 02 of the reactant. So we have this we can solve for all these things. Um, you know, this is, um Let's see, here we can. Now, let's see here, um, we can then take, um, take the racial here where we have, um the, uh, constant circuit metric constant for co two, which Oh, yeah, right here and again we can Let's see here we can take.
We have the, um, spoken metric constant for the 02 on the products in here. And then So that winds up giving us this again. Um, because that's what we've measured on the dry basis. So if we look at the total for all the dry components again, we just take the all the gasses. Ah, we can get the ah, more percentage of try, co two. Geometric racial for, um, um constant for oxygen as reacting And as for product now, what we can do that is again. You just get these questions here, notice that we have, um uh um a story. So that allows us to look at 22 cases if we have era pure oxygen, um, doing striking metric balances. Um uh, if we do, if this is a rare, then we have This is 3.7576 If if there's just pure oxygen, then this is zero.
I also used a variable n here, um, thio to denote whether we have nitrogen or not. So, um, again, we're told us assume a general hybrid carbon. Um, I I solve the problem in the general case and made some plots to show what show you what, What you need to program and then the results that you should get. So again, since I'm, um I can't really write a program for you. And we wish to calculate the percentage of theoretical air for any given percentage of combustion products. See, ex wife, Um, where? H and y input parameters. I should also add that I am using an older version of matlab (R2006a).In this problem were asked to write a program to solve the general case of problem 31 for any hydrocarbon fuel. My first example (with 31 instead of 32) shows that, in general, matlab will not give the exact answer for such a calculation. I don't know if it is just luck that matlab gets the other three entries exact, or if the matlab algorithm does a better job than octave of minimizing floating point errors. These commands show that matlab does not give the exact value for the zero in the lower left entry: The output format might make it look exact, as in ahmatti's post below.
The exact result should still be, but it is not an apples-to-apples comparison.Įven with the same matrix, matlab does not give the exact answer. as ahmatti points out below, I used the wrong matrix in that example.
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