EXAMPLE FROM MECHANICS OF THE FLUIDS
| Law on the flows
When one measures the speed to which a basin is emptied, one measures a variation of level of the basin. The reference mark is the bottom of the basin with like locates algebraic the zero. This water which is not any more in the basin left in a place located low only the algebraic value. Initially this water always exists, and is some share on a total reference mark. Thus the bottom of the basin is a balance and the formula of the flow will be the height starting factor of expo of less time on OJ which depends on the form of the evacuation and which varies. One should not lose sight of the fact that the final result is a balance of a value which should not in no case to be comparable to zero.
Analyze of a step
Formulate and analyzes particular case of the swirls.
Drawn from the observation of the lock of Nourriguier, the swirls are transformed into solitary wave when they do not have enough place for dévelloper. This wave goes up the current.
There is a high limit and a low limit in the appearance of a swirl. These limits depend the total head and on the flow.
Cavitation (liquid/gas) can generate swirls which will go in the direction of the current. Always with the same law of the limits (pressure/speed).
Experimental data measured on a flow of water:
initial time of 0,01s since the zero are not defined, the height is 60 cm from where:
H = 60; T = 0,01 S
H = 55; T = 13,33 S
H = 50; T = 16,58 S
H = 45; T = 21,14 S
H = 40; T = 27,08 S
H = 35; T = 34,44 S
H = 30; T = 42,27 S
H = 25; T = 49,94 S
H = 20; T = 59,32 S
H = 15; T = 77,13 S
H = 10; T = 119,27 S
If one take the current formula simplified for reasons of concept (What is in addition advised by the books of analysis); the flow is equal to a constant, factor of the square root of the difference in pressure.
Always for reasons of concept I thus release myself from the problems of dimension to thus compare only the function square root of the pressure height by a factor K (the exit being with a negligible pressure).
If one takes the values referred to above and that one calculates the medium flow, one realizes that qelles that are dimensions of volume and property of flow which one applies to measurement there is a shift of factor four which pushes me to seek a new formula. It is true that the current formula gives an aspect resembling the real curve éffectuée by a flow, but in the application of my trade, I refined another proposal for a formula.In the final analysis the formula that I propose is an alternative of a naturally stable system. An alternative because it appears a constant. The result obtained being the level of water, there is the function of the flow in the function of the variation, these functions being naturally stable.
Moreover if I vary the drain opening thus the flow, I can obtain a particular case which will correspond to the formula K factor of the square root the height if not the formula is the height of origin factor of expo of less time that OJ divides. This value OJ being it even a built variable of constant a factor of
author: Andre pierre jocelyn
Hypothesis on time