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# Liquid Density and Tank Leakage

08/25/2017 2:43 PM

What is the relation between the density of liquid which is kept in different tank to touch the ground, if it is leakage from different tank at same height? Suppose I have different type of liquid such as water, Brine, caustic, HCL in different tank so what is the relation of density in which if this liquid leakage from same height to touch the ground?

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#1

### Re: Liquid Density and Tank Leakage

08/25/2017 3:17 PM

Sir Isaac Newton doesn't care about the density of the fluid if you can ignore the air frictional losses. The viscosity of the fluid and the aperture of the leak will have an effect. I think you will want to have a discussion with Mr. Reynolds and Mr. Stokes.

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#3

### Re: Liquid Density and Tank Leakage

08/25/2017 3:43 PM

G.A. from me. Assuming the leaks are in the same place and same height, how thick or thin (viscosity) will be a major factor on how much of each hits the floor. Evaporation rates will effect it also. If I have 2 tanks of solvent, say one with butyl cellosolve and one with acetone, Even though acetone has a lower viscosity I would expect more butyl cellosolve on the floor because it's evaporation rate is .079 as opposed to acetones 5.6.

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#2

### Re: Liquid Density and Tank Leakage

08/25/2017 3:39 PM

Fortunately we have a calculator available that compares the viscosity, temp, density on the effect of flow through a hole/venturi....

http://www.pipeflowcalculations.net/nozzle.xhtml

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#4

### Re: Liquid Density and Tank Leakage

08/25/2017 3:51 PM

You may need to pose your question once again in your native tongue, and then find an interpreter. Somehow this question does not "touch the ground", i.e. make contact with me.

There are too many variables present for any coherent answer to be made to your question as stated in English. Why is there a "different tank"?

Do you mean this: Different tanks, all the same height, all the same liquid height, and all having a specified small leak hole in the tank at the same height (not the same as the height of the liquid)(but where is the hole in the tank?), and each tank contains a different chemical solution.

Suppose the hole is on the top of the tank: Zero leakage occurs, except some vapor loss from the hydrochloric acid (HCl) tank, and if you had an alcohol tank, there would also be vapor leakage from a hole in the top.

Suppose the hole is at the bottom, but the leak is not coming from the floor of the tank: Maximum leakage occurs from each tank of liquid. More liquid leaks out of the tank with the most dense fluid contained, unless viscous flow sets a lower limit of flow (caustic soda 50% is more viscous than saturated salt brine, and is slightly less dense as I recall, although there is more dissolved solute than the brine.

Each tank with its column of liquid produces a static head pressure related to the height of the liquid (the same in each case), but proportional to the density of the fluid in the tank, such that the heaviest liquid will produce the highest static pressure. Pressure is the driving force of leaks in a gravitational field.

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#5

### Re: Liquid Density and Tank Leakage

08/25/2017 4:27 PM

I think I understand what you are asking. Assume that the viscosity is the same, the hole size and height are the same, only the density is different. Will the denser liquid hit the ground the same distance from the leak as the less dense liquid? That is a valid question.

Let us assume we can ignore air resistance which would affect the less dense liquid more than the denser liquid.

The trajectory of the stream will be determined by the fluid velocity exiting the hole, so the question boils down to whether the exit velocity will be the same regardless of the density.

One way to look at it is that a unit parcel of liquid inside the tank at the level of the hole has potential energy PE = g*h*ρ and exiting the tank a kinetic energy of KE = (1/2)*ρ*v2, and conservation of energy says these should be equal. Therefore, the velocity v = sqrt(2*g*h). Note that the density ρ cancels out, so to a first approximation the stream hits the ground at the same distance regardless of density.

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#6

### Re: Liquid Density and Tank Leakage

08/25/2017 4:55 PM

Oh, I so missed that one! You are clearly stating that regardless of how much pressure is produced, it is only the driving force of flux, not the acceleration. Since F=ma, then

a=F/m, and in terms of liquid passing through a plane, a is what gets the job done.

F/A = P and m/A relates to density (but is dimensionally not density). Is m/A flux density? (mass per unit area).

I beg to differ on viscosity, as the liquids the OP mentioned specifically do not have the same viscosity. The most viscous fluid would then "fly" least far from the tank.

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#7

### Re: Liquid Density and Tank Leakage

08/25/2017 5:44 PM

Yeah, I totally agree about viscosity...maple syrup would probably just drip down the side....

I didn't think density was quite so obvious. A dense liquid has more head pressure but requires more force to accelerate. It turns out the two cancel out.

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#8

### Re: Liquid Density and Tank Leakage

08/25/2017 9:25 PM

Depends on how big the barrel is and how big the hole is....

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#10

### Re: Liquid Density and Tank Leakage

08/28/2017 8:57 AM

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#12

### Re: Liquid Density and Tank Leakage

08/29/2017 1:17 PM

The Great Molasses Flood of 1919....

..." A large molasses storage tank burst and a wave of molasses rushed through the streets at an estimated 35 mph (56 km/h), killing 21 and injuring 150. "...

https://en.wikipedia.org/wiki/Great_Molasses_Flood

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#13

### Re: Liquid Density and Tank Leakage

08/29/2017 1:47 PM

OMG - to be killed by molasses. Those must have been the slower ones?? Although 35 mph is impressive for molasses, was this the hot stuff, it had to be didn't it?

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#14

### Re: Liquid Density and Tank Leakage

08/29/2017 10:55 PM

Well it was not heated by anything other than the environment, so it wasn't hot...that was the problem once it hit you, you were stuck, it was so thick and deep that people couldn't escape, some were able to be pulled out in time but a lot were just overcome, it was like thick sticky quicksand....

Free book online...

..."Shortly after noon on January 15, 1919, a fifty-foot-tall steel tank filled with 2.3 million gallons of molasses collapsed on Boston’s waterfront, disgorging its contents as a fifteen-foot-high wave of molasses that briefly traveled at thirty-five miles an hour. Dark Tide tells the compelling story of this man-made disaster that claimed the lives of twenty-one people and scores of animals and caused widespread destruction. "...

This is the tank before the collapse....↓↓

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#15

### Re: Liquid Density and Tank Leakage

09/12/2017 5:15 PM

That probably put quite a damper on the baked beans industry.

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#16

### Re: Liquid Density and Tank Leakage

09/13/2017 9:18 AM

Yes, but there were a plethora of NJ housewives scouring the streets for the viscous, sweet elixir they could slather over hubby's pancakes.

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#9

### Re: Liquid Density and Tank Leakage

08/27/2017 6:17 AM

Is it as warm in the summer as it is in the country?

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#11

### Re: Liquid Density and Tank Leakage

08/28/2017 8:58 AM

Pretty much so, and BTW you really nailed that one!

BTW what is the difference between a duck, and how much is a hen way?

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#17

### Re: Liquid Density and Tank Leakage

10/30/2017 7:22 AM

The relationship depends upon the viscosity, as well as the density.

As an example, the rate of loss from a tank containing Mercury (Hg) will be far greater than that containing Lyle's Golden Syrup (other brands of sugar syrup are available), all other things being the same. However, the total loss by volume will be the same, given that each fluid will take a different time to arrive at his volume.

Ideally, the tank should not leak. If it is going to leak, let it be a relatively benign fluid such as water rather than any other liquid; that is the reason for carrying out hydraulic tests on anything containing liquids, or anything under pressure, before they are pressed into duty on service fluids. Make sure there is a record of the test that is acceptable to the facility's insurance company, and that periodic re-tests are carried out at appropriate intervals.

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