Tank drainage time [bernoulli]

Hi all,

It's been a while since I've posted.

I have a problem I'm stuck on. I'm trying to calculate how much time it will take for a tank to drain itself into another lower tank. I know the flow will be faster at start and slow down with the lowering liquid column. I'm trying to develop an equation for the height of liquid in terms of time so I can obtain the drainage time, the mean flow as well as the maximal flow in the pipe.

Using the Bernoulli equation between point 2 (first tank's liquid level) and point 1 (just as the liquid exits the pipe - enters the second tank), I developed an equation relating the height of liquid in the first tank to the velocity in the pipe. My problem is both are functions of time. Here's my route so far :


(direct : http://i1189.photobucket.com/albums/z434/Virgule99/Tankdrainage.jpg)

So as you see, I have 2 terms that are functions of t : z(t) and V1(t).

What now ?

 

Hi Virgule,

If you have Fluid Mechanics by Douglas/Gasiorek/Swaffield page 485 / 486 does a worked example of this type of problem. I can email the couple of pages from this book if you want - since posting pictures appears to be difficult on this web site.
Hope this helps.

Gordon.

 

Please send me the reference, sent you a private message.

 

Hi Gordon
Please do me a favor, Can I have that pages?
Thanks.
Hadi

 

Hey guys this is a public forum so why can't you make the solution PUBLIC? I'd like to see it. I'm sure others would too!
Bruce

 

Hi Gordon,

Please could you email me the the pages from the mentioned book?

Many Thanks,

Douglas

 

why do you assume that the flow is stream line and not turbulent?

 

Please do provide me the formula for calculating drain time for a tank and I'm trying to calculate how much time it will take for a tank to drain itself into existing drainage networks...