Density Control in Tank (TL) - Simscape
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How do i control the density of the liquid (Not water) in the tank by adding and removing the water to the liquid?
2 个评论
Sam Chak
2022-8-18
@Keshav Arora, can you provide the formula of density of mixed liquid and water?
Keshav Arora
2022-8-19
编辑：Keshav Arora
2022-8-19
回答（1 个）
Sam Chak
2022-8-19
0 个投票
I'm don't know how density ρ works in the Simscape watertank. However, you can probably derive something like this:
... Eq. (1)
... Eq. (2)Referring to the watertank model, where the volume of water in the tank is 
, the product of the cross-sectional area of the tank and the height of water in the tank. Thus, 
. Suppose that water is pumped the tank through applying the voltage E to the electric water pump and the dynamics is given by
, the product of the cross-sectional area of the tank and the height of water in the tank. Thus, . Suppose that water is pumped the tank through applying the voltage E to the electric water pump and the dynamics is given by
. ... Eq. (3)Inserting Eq. (3) that into Eq. (2) yields
... Eq. (4)From Eq. (1)
... Eq. (5)Inserting Eq. (5) that into Eq. (4) yields
... Eq. (6)Clearly, it is a first-order nonlinear system.
Now, you can manipulate the voltage E to achieve the desired density of the mixed liquid and water in the watertank.
The derived density model maybe naive because inside the watertank, the volume of the liquid subtance is ignored.
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2022-8-18
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