_{1}

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Present long range interactions for signals, as well as large scale rare phenomena at Earthquakes are subjects of wave dynamics with large impact. Here, that will be addressed in a general (science fiction) format. The method used is based on energy balance for a continuum and kinematics of noncircular orbits, nco. Released vortex formation in a process invoking escape velocity for beamed up Dinosaurs, is modeled with fluid dynamics of a Helix. It is found that elasticity in terms of volumetric changes and vorticities interact giving large velocities and interchange of potential and kinetic energies. The model is an example of atmosphere integrative physiology.

With the 3 pictures from NASA, in

Nowadays at day time, there are clouds and wind dynamics, together with all the new IT-signals. These are small scale, and present in an enormous multitude beyond reach. Several isolated phenomena and also complex flows, are covered with different models and simulations. In the present paper, we will consider few assumptions for a spiral shaped motion, such that dynamics enter due to interaction of whirls and volumetric changes of space. The results display as formulas for the motion. Such formats have significance in many applications, both on large and small scales. However, as is pointed out, when comparing with

experimental results, also interpretations in terms of fractals and discrete point solutions sometimes needs to be invoked. Realizing this provides the novelty of the paper together with the exact results, based on a relatively small initial model.

At night, several sights are found by amateur astronomers e.g. black holes in between two stars and a light spot with an aura. Here, a strange interaction in the sky will be elaborated: Since the Dinosaurs were large, rocky in texture and with ability to fly, these could have been involved in possible past formations in the sky.

The scenario is partly outlined by Mr J Sullivan c.f. [

First, we will revisit the wave dynamics proposed in [

Although, the elastic waves without scattering and damping derived in [

Within electromagnetism EM [

This Helix flow will be analysed by exact analytic methods. Since there is much work present in this area both exact and with CFD, initially we will provide a review reference.

Modeling of Whirls/Eddies with Continuum DynamicsComputational fluid dynamics, CFD, with large eddy simulations, LES, is a powerful method, to simulate flows governed by some turbulence but also composed into other structures. In [

LES refers to a discipline in fluid mechanics, where turbulent flow is consi

dered composed as spatial mean values with small variation. Issues in the modeling are to choose the scales and subdivisions, among many possible configurations and linearisation to achieve unique solutions. Sounding out the abbreviation, the word large probably refers to the number of eddies and the possibility of solving large problems. If referring to the grid size, such that entire whirls are not modeled in details, it is the opposite of Kolmogorov scale modeling. It could also point to other applications e.g. large scale astronomy. Here, we will consider eddies, on the meso-scale, consisting of a Dinosaur and rocks, mainly.

In what follows, the modeling is outlined. For a fluid with viscosity, continuum mechanics with thermodynamics and additional assumptions of heat capacity and heat flux gives an equation for the rate of energy

where, with usual notations;_{t} denotes entire time derivative. Here, we consider a flow where also vorticities w, such that L = D + W, D is symmetric and W = skew(L) = wx, where x is the cross product.

Continuity for mass reads

When the thermal part is self-balanced, (2) substituted in (1) gives

The change in density is due to elasticity for the Dinosaur,

junction with structure interaction of the stones, and here, detailed models for that will be cast into a model for kinematics as in [

Next, evaluation of the densities is done to obtain the angular velocity components in the Helix.

Assume no explicit time dependency and the frame of a noncircular orbit nco [_{0}, L-frequency fw_{0}, radius r_{0}, eccentricity r_{e}.

Then, the derive of density can be evaluated such that

where the approximation

or,

The angular velocity in the flow primarily concerns the xy-plane, _{z}. As seen in _{z} at the boundary of the Helix that contributes to the escape velocity. Let w_{t} denote this super level with a smaller vorticity and

With the density evaluation (4), above this gives

Remark: For the classical science fiction action “beamed up” in the tangential direction, the velocity v = w_{t}R, R being some radius, is governing. In the present modeling, the radius R is arbitrary so in fact, energy or a flow criterion rules. However, for light, it is likely that v adjusts to a suitable value e.g. as from the Sun, reach a planet.

Released vortex formation in a process invoking escape velocity for beamed up Dinosaurs, was modelled with fluid dynamics of a Helix. Modeling consists ofvolumetric changes and vorticities in interaction with density and an assumed noncircular orbit velocity. The concept provides an example of atmosphere integrative physiology. Other such not yet so exploited are human and animal interactions with the moon EM-signals and the Earth magnetic field.

To Dr Christian Baumgarten for telling about cyclotron accelerators, to astronomer Paul C Swift for sharing telescopic views of space, to Dr Benhmidene for valuable discussions on CFD and to Mr Adel Soualmia for information on space matter.

J-T Strömberg, L. (2017) Dinosaur Dynamics in an Integrative Model for Rotating Rocks and Deformable Bodies. Open Journal of Molecular and Integrative Physiology, 7, 35-40. https://doi.org/10.4236/ojmip.2017.73003