7.6.5 Composition of the energy fluxes

According to the description of the generic model of the real bounding surfaces, we have noticed that these objects (RBS) determine the decomposition of the incident fluxes into many components. There is a general (de)composition process of the material fluxes on RBS, which is valid for any kind of material flux which interacts with a RBS, either they are ware or people fluxes occurred at the incidence with a state RBS, or molecular or ionic fluxes in case of a RBS of a living cell (plasmatic membrane). In case of the RBS of the abiotic MS, the situation is absolutely similar, only that the number of incident flux types is much lower than the biotic MS, the structural fluxes being important in this matter (SF, which shall be presented in the following section), but moreover, the energy fluxes (EF). Due to this reason, we shall minutely review the composition of EF on RBS and as a result of this composition, we would be able to understand that most of the physical amounts such as the impulse, force, power, pressure etc. are nothing but some EF or properties of EF.

The composition and decomposition of EF on RBS of a driven MS is made in accordance with specific rules (we might even call them laws), which regulate the interaction (composition) processes between the outer and inner EF stored into the proper volume of MS. According to the objectual philosophy, these rules are:

1. The composition of EF takes place only on a RBS (more precisely, into the transition volume of RBS).

Comment 7.6.5.1: This assertion includes all types of RBS which were aforementioned, including the ones with uneven, non-permanent or periodical distributions. The composition process is a distributed process (just as the fluxes) made-up from all the possible interactions occurred between the elements of the two or more fluxes, interactions which are placed into the transition volume from the impact zone. It is clear that in case of the abiotic MS, the flux’s composition processes on RBS of a MS with a certain analytical structural level may be also decomposed into composition processes of EF on RBS of the constitutive MS, with more reduced structural levels. The important issue is that, regardless the structural level, the fluxes are composed only on a RBS of a MS with that particular structural level, because only in that place the outer fluxes interact with the inner fluxes.

2. The RBS transmittance for EF can never be null.

p_e>0 (7.6.5.1)

Comment 7.6.5.2: Even if the RBS permeability of a driven MS is null for the support material objects of EF, there will still be propagation EF on RBS (surface waves, shock waves etc.) which will always send forward a part from the incident flux energy to the driven system. Because p_e>0, at the impact of an EF with a MS, therefore, a conducted flux will always exist (an EF action over the system). Under the absurd assumption that the permeability p_e of a MS would be null, this means that, at the impact of an outer EF, no matter how powerful is, the state change of a MS would be null, which means that this system would have an infinite inertia.

3. Only the coherent and collinear components of the interactive EF are composed, respectively, the collinear components with the normal line between them and the collinear ones with the tangent line between them, both belonging to the outer influx and inner influx (reaction flux).

Comment 7.6.5.3: Since the fluxes are vector amounts, the addition or subtraction of the amounts (operations produced during the composition process) have a meaning only at the level of their homologous components (which are collinear), so that the flux’s collinear components may be algebraically combined, because only the sense (sign) and magnitude (modulus) differences of FDV still exist.

Definition 7.6.5.1: The abstract surface (theoretical, imaginary) through which the collinear and opposite flux intensities are equal (the common coherent component is null) is named equilibrium surface (ES).

Comment 7.6.5.4: The equilibrium surface is a local reference for the intensity difference between the interactive energy fluxes. Since it is a local reference, its spatial position can be variable in case of the variable interactive fluxes.

In general, there are two types of mutually orthogonal component types (normal and tangential), consequently, their related equilibrium surfaces will be mutually orthogonal. Therefore, an ES will be related to the normal components (which is orthogonal on the normal line from the local reference point), and an ES will be related to the tangential components (orthogonal on the tangent line from the local reference point).

Definition 7.6.5.2: If during the composition process, the equilibrium surfaces (both for the normal and tangential components) are motionless against an outer RS, that particular state is named an equilibrium state (of the interactive fluxes) against that RS.

Obviously, since the common component of FDV which are combined two by two is null, the result is that there is no motion of their common application point.

4. The composition process of the interactive FE takes place until the resources depletion of one of the fluxes.

Comment 7.6.5.5: Because, in most of the cases, each flux has a finite stockpile of transportable⁵4 attribute, this stockpile representing the resource of that flux, it is natural that if one of the fluxes is depleted (its intensity is cancelled) during a composition (interaction) process, the „composition” term does not make sense any longer. In case of a MS, because its volume is always finite, the EF stockpile from this volume shall be finite as well, and therefore, during the composition processes between a field (flux with endless resources as long as the field source exists) and the stored EF into MS (reaction flux), the latter would be the first (and only one) which will be depleted. In case of the composition of two fluxes with finite energy resources (such as the collision between two MS), the first depleted components would be the resources of the body with a lower kinetic energy.

5. During the composition process, under the equilibrium state, the equal coherent and opposite fluxes may be converted (in specific cases) either into stochastic fluxes or into coherent closed fluxes.

Comment 7.6.5.6: If the transition volume of the RBS from the impact (composition) zone of the two coherent and opposite fluxes is considered a finite volume in which equal energy quantities are coming through opposite directions, it is natural that the energy’s conservation principle (applied only for the transition volume) to state that the kinetic energy of the two fluxes does not vanish, but it is preserved. How is it possible to conserve the kinetic energy in a motionless space (under equilibrium)? This is simple! As we have noticed in section 7.6.2, in a stochastic or periodical (coherent closed) energy flux, the only flux types which are able to store kinetic energy in a motionless medium (only under a global motionless, more exactly, the inner T reference is motionless against an outer T reference, but at the element level, there is an either chaotic or coherent, but periodical motion).

6. At the completion of the composition process, when the equilibrium state vanishes, the remanent stored flux can be converted (in specific cases) into a coherent flux.

Comment 7.6.5.7: This rule is very clear in case of the elastic collisions, when the stochastic flux stored in the two collided bodies remains global motionless, until the flux resources of one of the bodies are depleted. At that moment, the equilibrium state vanishes (without the opposition of the depleted flux), and the stochastic flux stored into the contact zone (baric component) shall generate the two repulsion (deflection) forces which will set in motion in reverse direction the bodies which are under interaction. But the collision processes also imply the local heating of the impact zone, process which takes-over a part of the energy deployed by the two combined fluxes, and which will make-up the thermal component of the stored flux. It is clear that this thermal flux, even after the equilibrium vanishing, would not be converted into a coherent flux, neither do the stochastic fluxes involved in the plastic collisions.

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INDEX

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