, determine the period of the oscillations. Note: we will calculate the mani value of at any point of the tube as a function of ž second derivative of the position of the surface of the liquid in the right branch, and we will seek to obtain a differential equation of the type: ż + wzz = 0 b) Solving the equation would

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Oscillations in a U-shaped tube We consider a U-shaped tube of width L initially filled with a fluid of density p up to a height ho. We initially push the fluid down in one of the branches, and we suddenly release this constraint: the fluid then oscillates in the U-tube. A) Assuming the perfect fluid, and using Bernoulli's formula unsteady between the two surfaces free, determine the period of the oscillations. Note: we will calculate the mani value of at any point of the tube as a function of ž second derivative of the position of the surface of the liquid in the right branch, and we will seek to obtain a differential equation of the type: ż + wzz = 0 b) Solving the equation would give oscillations that last indefinitely. This is of course not so in reality. - What physical phenomenon have we overlooked? - What physical property of the fluid should be considered? - What is the S.I. unit of this property? c) A.N .: we give ho = 20 cm, L = 10 cm. Give the period T in seconds. ho
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