scholarly journals The Generalized Poynting Theorem for the General Field and Solution of the 4/3 Problem

2019 ◽  
Vol 14 ◽  
pp. 19-40
Author(s):  
Sergey G. Fedosin
Keyword(s):  
Pressure Field ◽  
Mass Density ◽  
Relativistic Energy ◽  
Equilibrium System ◽  
Gravitational Fields ◽  
Acceleration Field ◽  
System Of Particles ◽  
Field Coefficient ◽  
The Given ◽  
Poynting Theorem

The generalized Poynting theorem is applied to the equilibrium system of particles, both inside and outside the system. The particles are bound to each other by means of the electromagnetic and gravitational fields, acceleration field and pressure field. As a result, the correlation is found between the acceleration field coefficient, the pressure field coefficient, the gravitational constant and the vacuum permittivity. This correlation also depends on the ratio of the charge density to the mass density of the particles inside the sphere. Due to the correlation between the given field coefficients the 4/3 problem is solved and the expression for the relativistic energy of the system is refined.

scholarly journals Estimation of the physical parameters of planets and stars in the gravitational equilibrium model

2016 ◽  
Vol 94 (4) ◽  
pp. 370-379 ◽  
Author(s):  
Sergey G. Fedosin
Keyword(s):  
Equilibrium Model ◽  
Pressure Field ◽  
Physical Parameters ◽  
Acceleration Field ◽  
Precise Calculation ◽  
Proposed Model ◽  
Calculation Results ◽  
Field Coefficient ◽  
Physical Quantities ◽  
Gravitational Equilibrium

The motion equations of matter in a gravitational field, acceleration field, pressure field, and other fields are considered based on the field theory. This enables us to derive simple formulas in the framework of the gravitational equilibrium model, which allow us to estimate the physical parameters of cosmic bodies. The acceleration field coefficient, η, and the pressure field coefficient, σ, are a function of the state of matter, and their sum is close in magnitude to the gravitational constant, G. In the presented model the dependence is found of the internal temperature and pressure on the current radius. The central temperatures and pressures are calculated for the Earth and the Sun, for a typical neutron star and a white dwarf. The heat flux and the thermal conductivity coefficient of these objects’ matter are found, and the formula for estimating the entropy is provided. All the quantities are compared with the calculation results in different models of cosmic bodies. The discovered good agreement with these data proves the effectiveness and universality of the proposed model for estimating the parameters of planets and stars and for more precise calculation of physical quantities.

scholarly journals Spatial Fluctuating Pressure Calculation of Underwater Counter Rotating Propellers under Noncavitating Condition

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
L. X. Hou ◽  
A. K. Hu
Keyword(s):  
Fourier Transform ◽  
Hydrodynamic Interaction ◽  
Pressure Field ◽  
Spherical Surface ◽  
Hydrodynamic Performance ◽  
Fluctuating Pressure ◽  
Pressure Distributions ◽  
Pressure Calculation ◽  
Calculation Results ◽  
The Given

The spatial fluctuating pressure field (FPF) of counter rotating propeller (CRP) under noncavitating condition is investigated. The hydrodynamic performance and pressure distributions on the blade surfaces are obtained through low-order potential-based panel method, which is also used to analyze the hydrodynamic interaction between the front and rear propellers of CRP as well as the hydrodynamic interference between any solid surface and propeller. The interaction between the given solid spherical surface and propeller is used to simulate the spatial FPF of propeller, and the fluctuating pressure induced by a propeller over one revolution is analyzed in frequency domain through fast Fourier transform. The method proposed is validated through two given propellers by comparing the calculation results with test data. The FPFs of the front and rear propellers are calculated and compared with that of the corresponding single propeller. The result shows that the CRP produces weaker FPF compared with the single propeller.

scholarly journals Physics Formalism Helmholtz Matrix to Coulomb Gage

2021 ◽  
Author(s):  
Rajan Iyer
Keyword(s):  
Dark Matter ◽  
Particle Physics ◽  
Charge Asymmetry ◽  
Zero Point ◽  
Hamiltonian Mechanics ◽  
Relativistic Energy ◽  
Gravitational Fields ◽  
Electron Positron ◽  
Physics Literature ◽  
Gravitational Dipoles

Iyer Markoulakis Helmholtz Hamiltonian mechanics formalisms mathematically modeled physics with vortex rotational fields acting with gradient fields, typically in zero-point microblackhole general fields. Here, Helmholtz metrics have been gaged to Coulombic Hilbert metrics, representing Gilbertian and Amperian natures of electromagnetic fields out of the mechanical fields from Helmholtz Hamiltonian mechanics. This ansatz general gaging helps to properly isolate field effects – mechanical, electric, magnetic components within the analytical processes. Vacuum gravitational fields and the flavor Higgs-Boson matter inertial gravitational fields have been thus quantified extending to stringmetrics constructs matrix showing charge asymmetry gage metrics, having the power to analyze dark energy superluminal phase, dark matter luminal phase, and light matter subluminal phase. Interpreting particle physics gage matrix pointing to Dirac seas electrons, monopoles with positrons, electron-positron annihilation leading to energy production, relativistic energy generating matter, and both monopoles – vacuum and compressed out of vortex Helmholtz decomposition fields have been interpolated. Quantum ASTROPHYSICS gage metrix posits superluminal profile of signals velocity generating electron-positron chain like “curdling” action that is consistent with physics literature reporting nature electron photon observed oscillatory fields configurations. This helps proposing creation of neutrino antineutrino pair orthogonal to electron positron “curdling” planes, that may lead to formation of protonic hydrogen of stars or orthogonally muon. These aspects will explain receding or fast expanding universe with dark matter in terms of flavor metrics versus gage associating metrics flavor. Additional interpretations of virtual gravitational dipoles that have gravitational charge of opposite signs, reported per physics literature at Planck dimensions, that may originate at the center of supermassive blackhole. On the other hands, vacuum monopoles occur probably at infinity with cosmos extent.

scholarly journals Equations of Motion in the Theory of Relativistic Vector Fields

2019 ◽  
Vol 83 ◽  
pp. 12-30 ◽  
Author(s):  
Sergey G. Fedosin
Keyword(s):  
Vector Fields ◽  
Equations Of Motion ◽  
Lagrange Function ◽  
Equation Of Motion ◽  
Field Potentials ◽  
Least Action ◽  
Vector Potentials ◽  
Principle Of Least Action ◽  
System Of Particles ◽  
Poynting Theorem

Within the framework of the theory of relativistic vector fields, the covariant expressions are presented for the equations of motion of the matter and the field. These expressions can be written either in terms of the field tensors, that is, the fields’ strengths and solenoidal vectors, or in terms the four-potentials, that is, the fields’ scalar and vector potentials. This state of things is due to the fact that the Lagrange function initially implied the complementarity of description in terms of the strengths and the field potentials. It is shown that the equation for the fields, obtained by taking the covariant derivative in the equation for the metric, has a deeper meaning than the ordinary equation of motion of the matter, found with the help of the principle of least action. In particular, the above-mentioned equation for the fields leads to the generalized Poynting theorem, and after integration over the volume it allows us to introduce for consideration the integral vector as a measure of the energy and the fields’ energy fluxes, associated with a system of particles and fields.

scholarly journals Unification of Electromagnetism and Gravitation

2017 ◽  
Author(s):  
Raymond J. Beach
Keyword(s):  
Mass Density ◽  
Cosmological Solution ◽  
Classical Field Theory ◽  
Soliton Solutions ◽  
General Covariance ◽  
Specific Class ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Gravitational Fields ◽  
Fundamental Equations

Using four field equations, a recently proposed classical field theory that covers the phenomenology of classical physics at the level of the Maxwell and Einstein Field Equations (M&EFEs) but then goes further by unifying electromagnetic and gravitational phenomena in a fundamentally new way is reviewed.  The four fundamental equations are shown to determine the dynamic fields of the theory in a manner that is logically consistent with the requirements of general covariance.  Developing particle-like soliton solutions and then radiative solutions for electromagnetic and gravitational waves, the predictions of the theory are shown to be consistent with those of the M&EFEs.  The same solutions are then used to illustrate the unification that the theory brings electromagnetic and gravitational phenomena by, for example, uniting electromagnetic radiation with a specific class of underlying gravitational radiation.  A description is given for quantizing the mass, charge and angular momentum of particle-like soliton solutions, a situation that is uniquely possible with the new theory because the mass density and charge density are treated as dynamic fields and not introduced as external parameters.  A cosmological solution corresponding to a homogeneous and isotropic universe is investigated.  Finally, a description of antimatter is naturally accommodated by the theory and leads to definite predictions regarding the interactions of matter and antimatter with gravitational fields. 

Crack Propagation Life Calculation of an Aircraft Compressor Blade due to Bird Ingestion

2014 ◽  
Author(s):  
Srinivasa R. Jammi ◽  
R. Rzadkowski
Keyword(s):  
Crack Propagation ◽  
Iterative Process ◽  
Reference Strain ◽  
Pressure Field ◽  
Nonlinear Damping ◽  
Compressor Blade ◽  
Viscous Damping ◽  
Equivalent Viscous Damping ◽  
The Given ◽  
Damping Model

Bird ingestion is simulated by blade passage blocks in the incoming flow and the pressure field is obtained from a CFD code. The alternating pressure field corresponding to the identified critical speed of the first stage rotor blade is obtained from an FFT. A nonlinear damping model is developed using Lazan’s hysteresis law; the equivalent viscous damping model is determined as a function of reference strain amplitude in the given mode of vibration at the rotational speed. An iterative process is developed with the nonlinear damping model and the resonant stress and location is determined. The Fracture Mechanics approach is used to estimate the crack propagation life of the blade.

scholarly journals Relativistic Mass of Gravitational Field

2021 ◽  
Author(s):  
yin zhu
Keyword(s):  
Magnetic Field ◽  
Gravitational Field ◽  
Neutron Star ◽  
Total Mass ◽  
Milky Way ◽  
Fundamental Problem ◽  
Mass Density ◽  
The Sun ◽  
Gravitational Fields ◽  
Relativistic Mass

It is discovered that the gravitational field on the surface of a neutron star is with a relativistic mass density of 2.65*1016~5.87*1018kgm-3 which can be larger than the mass density of the neutron star (~1017kgm-3). And, the total relativistic mass of the gravitational field of the Sun is ~107 times the mass of the Sun. For different stars, the relativistic mass of the gravitational field is larger as the mass density of the star is larger. In the Milky Way, the total relativistic mass of the gravitational fields is much larger than the total mass of the stars, planets and gas. And, the relativistic mass density of the observed strongest magnetic field is 2.17*108kgm-3. This discovery should be a new frame to understand the fundamental problem of physics.

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