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2
Equilibration in two communicating water tanks



Main
Two cylindrical tanks are connected by a hose at the bottom. Water in one of the tanks flows into the second tank. Levels in both tanks are measured as functions of time. More…


Photographs
Eight photos of the process, intervals of 15 seconds:
Two_Tanks_Equ_000.gif     Two_Tanks_Equ_015.gif
Two_Tanks_Equ_030.gif     Two_Tanks_Equ_045.gif
Two_Tanks_Equ_060.gif     Two_Tanks_Equ_075.gif
Two_Tanks_Equ_090.gif     Two_Tanks_Equ_105.gif
Movies
Two_Tanks_Water_1.mov
Two_Tanks_Water_2.mov
Data files
Two_Tanks_Water.xls
Models

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Description
DESCRIPTION OF EXPERIMENT
Experiment
Two cylindrical tanks are connected by a hose at the bottom. Water in one of the tanks flows into the second tank. Levels in both tanks are measured as functions of time.
When the water is allowed to flow, it flows from the tank with the higher level to the one with the lower level. The levels change quickly at the beginning and more slowly later on. When the levesl have become equal, the flow of water stops.


Dimensions
(Pertaining to data set; photographs are from a different experiment.)
Diameter: Tank 1: 0.10 m
Diameter: Tank 2: 0.15 m
Pipe: Length: 30 cm
Pipe: Diameter: 6.0 mm

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Assignment
A POSSIBLE PATH THROUGH THE INVESTIGATION…
Basics

Particulars


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Model
MODEL EQUATIONS AND MORE…
Laws of balance
V1(t) = V1(t - dt) + (- IV) * dt
INIT V1 = A1*h1_init
V2(t) = V2(t - dt) + (IV) * dt
INIT V2 = A2*h2_init
Flows
IV = k*SQRT(h1-h2)
Relations
h1 = V1/A1
h2 = V2/A2
Parameters
A1 = PI*0.1^2
A2 = PI*0.148^2
h1_init = 0.173
h2_init = 0.0297
k = 7.3e-5

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Questions
SOME SIMPLE QUESTIONS…

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