The three-tank problem: a new vision (Part 1)
Keywords:
problem, three-tanksAbstract
The three-tank problem is a classic problem in fluid mechanics and its solution has been tackled in several
ways. The problem consists of calculating the flow rates and velocities in the three branches that make up
the one-node hydraulic system, as well as the piezometric level or relative level of the node with respect to
the levels of the free surfaces of the water in the other tanks. In this article, the first of two in this line of
research, a working methodology with an analytical approach is developed for the direct and explicit solution
of this type of problem in its different operating schemes. A working format is provided for a general solution
of the calculation of the piezometric level in the node. Under this new approach to the analysis of these types
of hydraulic systems, the three-tank problem is presented as a particular case of the n-element problem. A
procedure is presented to solve the problem of the indeterminacy of the direction of circulation of the tank
or intermediate element, a key component for a correct definition of the case to be solved. The working
methodology is presented by means of the resolution of a practical example that is very common in pumped
water systems.
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References
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