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TOPIC: Cylinder tank simulation

Cylinder tank simulation 3 weeks 4 days ago #10755

  • jds
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Hello,
In the simulation tools there's a cylinder tank simulation but this is for a vertical tank.

I'm curious if anybody has any experience in simulating a horizontal tank? I'm trying to get the maths done, but I think my maths knowledge has been gone too far away ...
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Cylinder tank simulation 3 weeks 4 days ago #10757

  • claes
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Hi jds,

With pythagoras theorem I get that the change in tank level in one scan time is
F * t / (2 * l * sqrt(2 * r * L - pow(L, 2)))
where

F is in flow minus out flow
l is cylinder length
r is cylinder radius
L is tank level
t is scantime

Note that this is infinity when L = 0 and L = 2r.

/Claes
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Cylinder tank simulation 3 weeks 3 days ago #10759

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thanks again Claes!
F * t / (2 * l * sqrt(2 * r * L - pow(L, 2)))
Is it correct that the first multiply needs to be an equal sign?
Can I put this formula in one way or an other in a Carithm to distilate the level out of it?
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Cylinder tank simulation 3 weeks 3 days ago #10760

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No, this is the change in level so the level is

L = L + F * t / (2 * l ...

In a CArithm it would be something like
OA1 += A1 * A2 / (2 * A3 * sqrt( 2 * A4 * OA1 - pow(OA1, 2)));
where you connect A1 to the net flow, A2 to a ScanTime object, and insert constants for cylinder length in A3 and radius in A4.
Level on output OA1.

You first have to test that L or L - 2r is not close to zero cause this will give an invalid value.

/Claes
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Cylinder tank simulation 3 weeks 2 days ago #10761

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Claes,

worked like a charm B)

Thanks!
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