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Problem Solving In Process Systems Analysis And Control


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#1 vergil.aleria

vergil.aleria

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Posted 02 June 2010 - 08:32 PM

I have been trying to answer this specific problem from Process Systems Analysis and Control by Donald Coughanowr and I do not know how to deal with the Laplace Transform of the equation. The problem goes this way

Problem 6.4 Develop a formula for finding the time constant of the liquid-level system shown in Fig. P6.4 when the average operating level is h,. The resistance R is linear. The tank has three vertical walls and one which slopes at an angle alpha from the vertical as shown. The distance separating the parallel walls is 1.

I am hoping that you guys can help me figure out the answer for this problem. I am stuck with doing the Laplace transform of y(dy/dt)...

#2 USR

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Posted 02 June 2010 - 11:02 PM

hi...your approach to solve the problem is something which is missing in the post...
well do you realize in this question that the area is variable?? This is how it is..the distance between parallel sides is unity the other distance is what is varying with the level in the tank..next step is making the mass balance writing the transient eqn. then the steady state balance and all that...but to get the final thing you will have to learn the concept of linearization...hope it helps..

Edited by USR, 02 June 2010 - 11:19 PM.


#3 vergil.aleria

vergil.aleria

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Posted 06 June 2010 - 09:12 AM

Yeah... I manage to write down the equations... I guess that my problem really is how to linearize the equation.... Thanks for your reply btw..




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