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The real secret of turbulence is the sequential , and thus discrete nature of it . It is quite clear that a streamline oscillates after impacting a density and lubricity/ viscosity region. This oscillation is generated along and at the boundary between the different regional substances. While it is easy to overlook it is plain to see that vortices not only dance around each other they oscillate sequentially relative to each other. This sequence is given the name phase which obscures its function. The sequential process is to seed, grow and protect the formation of a regional vortex until it is given birth to by reason of exceeding its dynamic boundary conditions, at the same time as this grows , the protecting vortex is shed by a thinning umbilical cord which is eventually and rapidly drawn into the anti flow around the developing vortex and becomes the seed for another anti vortex to grow and repeat the cycle.

The drive for this cyclical vortex production is the head pressure of the flow, but the inherent vorticity shapes the dynamics through the density and viscosit/ lubricity profiles. In a fluid, rigidity drops off on a sliding scale. Thus a rigid rotational description is misleading. The rotation of a fluid is easily shaped on its boundary. Thus to draw a line of circulation around a vortex is erroneous, while rotation implies a closed loop it does not imply a continuous boundary. In fact the boundary is best described as a collection of arcs. The nature of these arcs could be quite arbitrary, but observation suggests trochoids as good approximations or splines. Thus we may define a circulation boundary as an intersection of trochoidal arcs and the vorticity as the sum of the vorticity of the trochoids.

This then leaves sections of the circulation amenable to interaction, so that a powerful contra trochoid can knock out a circulation spline, but still. Lose the loop. The reduction in the circulation this implies can lead to a vortex core with higher vorticity peeling off and running against the unravelling circulation boundary.
The collapse of the outer boundary allows pressure deformations to seed a contra vortex

The determination of the rotational profile can be modelled by the winding of a piece of elastic. The tension that moves the fluid behaves like a compression or stress front that travels at a fixed speed along a spiral surface rotating out against a spiral surface being dragged in and thus creating another compression or stress front between successive layers of the first. This continues until as many interleaved spiral urfaces as can be supported are achieved and the whole fluid is subject to these cylindrical stress surfaces. The vortex movement is then block like but not rigid. Individual sheets may reach fracture points a and shear away from the elastic like sheet allowing local turbulence to develop. This may grow and lead to a collapse of the sheets dependent on it, or form a trapped bubble that rotates in the vortex, depending on the local density, lubricity and viscosity. These bubbles may be long lasting , intermittent or explosive.

The behaviour of fluids is certainly very interesting and capable of all inconceivable motions! …

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It is so easy to fall into the trap of right and wrong! Before Einstein, very few believed in atoms or electrons. They were powerful conceptual models. They proved to be very useful tools. They were wonderful aides de campe when pondering the behaviours of natural systems. What changed?

Scientists as a group reflect thir cultures, and those cultures provide alternative myths. What factualises a myth? It is the ability to choose what an individual wants to accept as a premise! For many disaffected scientists a revolution in thought was needed, a paradigm shift to avoid the inconsistencies of cultural mythologies. So a powerful rethink was done, under the twin headings of scientific rationalism. This rethink could point to magic, technology as its justification for demanding that the old myths give way to the new myths. But in this kind of struggle for hearts and minds myths have to be defined as facts! They are the same thing, but those who call a myth a fact merely betray their intellectual faith, their dogmatic certainty, their rational conviction, their revolutionary paradigm shift.

All human conception is mythical, imaginative, probable but never certain. Thus concepts like" reality ", are designed to cut off argument at the knees. " Truth" is designed to control the debate, both are expressions of convictions.

There are other viable conceptions of living in this experience, that do not require social or cultural approval, but they ecome increasingly difficult to sustain in an environment dominated by other animate groups. Inevitably one has to fight to fuck and feed, or flee to avoid being fucked or becoming food, or one has to negotiate.
It turns out that negotiation produces the most stable relationships over time. These are called symbiotic. The point is they do not eliminate the other options! Eventually the negotiated stability breaks up and a new arrangement has to be negotiated after a period of fight and flight.

None of us can negotiate with destiny. But destiny is a concept of the implacable Fates that both create and destroy. What we can do is adopt and adapt whatever utilitarian behaviours enhance our survivability.

Thus my paradigm shift does not invalidate the hodge podge standard model, it must do equally as well and better if it is to be a utilitarian exercise. It is clear that that is a very tall order, not for intellectual reasons, but for biological and cultural ones. …

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I am very pleased with the paradigm shift I am in the process of establishing. I have reconfigured everything material in terms of fluids and fluid mechanics. Suddenly the world makes more sense, and a whole range of phenomena become connected by simple patterns.
I have to reemphasise the crucial concept of shear! It is not the quantity or measured amount that is of fundamental importance, but the concept itself. Pressure also as the motive , the concept of accelerative motion, that is motion as cause, is as fundamental, since it is the motive of shear.

In fluid dynamics we may properly examine the concept of shear in experimental set ups such as pipes or tunnels, and in so doing identify the complex motions and effects and attributes of shear. It is clear that shear does more than just separate layers. Equally pressure is much more complex than just high or low. It results in various manifestations of other phenomena and attributes to matter.

The interplay between these phenomena is complex, but we may distinguish them sufficiently clearly by various combinations of pressure measurements and attendant shear behaviour. …

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Schroedinger’s equations versus Maxwells equations for fluid mechanics.

Lebesgue versus Eudoxus : Metric Theory.