scholarly journals STOCK MECHANICS: A GENERAL THEORY AND METHOD OF ENERGY CONSERVATION WITH APPLICATIONS ON DJIA

2006 ◽  
Vol 17 (11) ◽  
pp. 1679-1690 ◽  
Author(s):  
ÇAĞLAR TUNCAY
Keyword(s):  
General Theory ◽  
Potential Energy ◽  
Energy Conservation ◽  
Total Energy ◽  
Positive Definite ◽  
New Method ◽  
Linear Potential ◽  
Original Theory ◽  
Sinusoidal Oscillations ◽  
Force Impact

A new method, based on the original theory of conservation of sum of kinetic and potential energy defined for prices is proposed and applied on the Dow Jones Industrials Average (DJIA). The general trends averaged over months or years gave a roughly conserved total energy, with three different potential energies, i.e., positive definite quadratic, negative definite quadratic and linear potential energy for exponential rises (and falls), sinusoidal oscillations and parabolic trajectories, respectively. Corresponding expressions for force (impact) are also given.

scholarly journals On Fulfillment of Energy Conservation Law in Theory of Elastic Waves V. V. Nevdakh1)

2021 ◽  
Vol 20 (2) ◽  
pp. 161-167
Author(s):  
V. V. Nevdakh
Keyword(s):  
Kinetic Energy ◽  
Potential Energy ◽  
Energy Conservation ◽  
Elastic Wave ◽  
Total Energy ◽  
Elastic Deformation ◽  
Sound Wave ◽  
Elastic Waves ◽  
Conservation Law ◽  
Energy Conservation Law

In accordance with the energy conservation law, the total energy of a closed physical system must remain constant at any moment of time. The energy of a traveling elastic wave consists of the kinetic energy in the oscillating particles of the medium and the potential energy of  its elastic deformation. In the existing theory of elastic waves, it is believed that the kinetic and potential energy densities of a traveling wave without losses  are the same at any moment of time and vary according to the same law. Accordingly, the total energy density of such wave is different at various moment of time, and only its time-averaged value remains constant. Thus, in the existing theory of elastic waves, the energy conservation law is not fulfilled. The purpose of this work is to give a physically correct description of these waves. A new description of a sound wave in an ideal gas has been proposed and it is based on the use of a wave equation system for perturbing the oscillation velocity of gas particles, which determines their kinetic energy, and for elastic deformation, which determines their potential energy. It has been shown that harmonic solutions describing the oscillations of the gas particles velocity perturbation and their elastic deformation, which are phase shifted by p/2, are considered as physically correct solutions of such equations system for a traveling sound wave. It has been found that the positions of the kinetic and potential energy maxima in the elastic wave, described by such solutions, alternate in space every quarter of the wavelength. It has been established that every quarter of a period in a wave without losses, the kinetic energy is completely converted to potential and vice versa, while at each spatial point of the wave its total energy density is the same at any time, which is consistent with the energy conservation law. The energy flux density of such traveling elastic wave is described by the expression for the Umov vector. It has been concluded that such traveling sound wave without losses  in an ideal gas can be considered as a harmonic oscillator.

scholarly journals Incorporating the Work Done by Vertical Density Fluxes in Both Kinetic and Thermal Energy Conservation Equations to Satisfy Total Energy Conservation

2019 ◽  
Vol 58 (2) ◽  
pp. 213-230 ◽  
Author(s):  
Jielun Sun
Keyword(s):  
Thermal Expansion ◽  
Energy Balance ◽  
Kinetic Energy ◽  
Potential Energy ◽  
Energy Conservation ◽  
Total Energy ◽  
Thermal Energy ◽  
Temporal Variations ◽  
Vertical Density ◽  
Total Energy Conservation

AbstractConservation of total, kinetic, and thermal energy in the atmosphere is revisited, and the derived thermal energy balance is examined with observations. Total energy conservation (TEC) provides a constraint for the sum of kinetic, thermal, and potential energy changes. In response to air thermal expansion/compression, air density variation leads to vertical density fluxes and potential energy changes, which in turn impact the thermal energy balance as well as the kinetic energy balance due to the constraint of TEC. As vertical density fluxes can propagate through a large vertical domain to where local thermal expansion/compression becomes negligibly small, interactions between kinetic and thermal energy changes in determining atmospheric motions and thermodynamic structures can occur when local diabatic heating/cooling becomes small. The contribution of vertical density fluxes to the kinetic energy balance is sometimes considered but that to the thermal energy balance is traditionally missed. Misinterpretation between air thermal expansion/compression and incompressibility for air volume changes with pressure under a constant temperature would lead to overlooking important impacts of thermal expansion/compression on air motions and atmospheric thermodynamics. Atmospheric boundary layer observations qualitatively confirm the contribution of potential energy changes associated with vertical density fluxes in the thermal energy balance for explaining temporal variations of air temperature.

A new method for constructing total energy conservation algorithms*

2003 ◽  
Vol 13 (1) ◽  
pp. 59-62
Author(s):  
Ying Zhao ◽  
Zhongzhen Ji ◽  
Hongwei Yang ◽  
Bin Wang
Keyword(s):  
Energy Conservation ◽  
Total Energy ◽  
New Method ◽  
Total Energy Conservation

scholarly journals GRAVITY HEATS THE UNIVERSE

2009 ◽  
Vol 18 (14) ◽  
pp. 2201-2207
Author(s):  
ADAM MOSS ◽  
DOUGLAS SCOTT
Keyword(s):  
Kinetic Energy ◽  
Potential Energy ◽  
Energy Conservation ◽  
Cosmic Microwave Background ◽  
Initial Conditions ◽  
Gravitational Instability ◽  
Simplified Model ◽  
Microwave Background ◽  
Average Temperature ◽  
The Universe

Structures in the Universe grew through gravitational instability from very smooth initial conditions. Energy conservation requires that the growing negative potential energy of these structures be balanced by an increase in kinetic energy. A fraction of this is converted into heat in the collisional gas of the intergalactic medium. Using a toy model of gravitational heating, we attempt to link the growth of structure in the Universe with the average temperature of this gas. We find that the gas is rapidly heated from collapsing structures at around z ~ 10, reaching a temperature > 106 K today, depending on some assumptions of our simplified model. Before that there was a cold era from z ~ 100 to ~10 in which the matter temperature was below that of the cosmic microwave background.

scholarly journals Numerical Development and Evaluation of an Energy Conserving Conceptual Stochastic Climate Model

2019 ◽  
Vol 5 (1) ◽  
pp. 45-64 ◽  
Author(s):  
Federica Gugole ◽  
Christian L. E. Franzke
Keyword(s):  
Energy Conservation ◽  
Total Energy ◽  
Prediction Models ◽  
Climate Model ◽  
Empirical Orthogonal Functions ◽  
Correlated Noise ◽  
Spatial Covariance ◽  
Conservation Of Energy ◽  
Stochastic Climate Model ◽  
Energy Conserving

AbstractIn this study we aim to present the successful development of an energy conserving conceptual stochastic climate model based on the inviscid 2-layer Quasi-Geostrophic (QG) equations. The stochastic terms have been systematically derived and introduced in such away that the total energy is conserved. In this proof of concept studywe give particular emphasis to the numerical aspects of energy conservation in a highdimensional complex stochastic system andwe analyzewhat kind of assumptions regarding the noise should be considered in order to obtain physical meaningful results. Our results show that the stochastic model conserves energy to an accuracy of about 0.5% of the total energy; this level of accuracy is not affected by the introduction of the noise, but is mainly due to the level of accuracy of the deterministic discretization of the QG model. Furthermore, our results demonstrate that spatially correlated noise is necessary for the conservation of energy and the preservation of important statistical properties, while using spatially uncorrelated noise violates energy conservation and gives unphysical results. A dynamically consistent spatial covariance structure is determined through Empirical Orthogonal Functions (EOFs). We find that only a small number of EOFs is needed to get good results with respect to energy conservation, autocorrelation functions, PDFs and eddy length scale when comparing a deterministic control simulation on a 512 × 512 grid to a stochastic simulation on a 128 × 128 grid. Our stochastic approach has the potential to seamlessly be implemented in comprehensive weather and climate prediction models.

scholarly journals Annual Energy Usage Reduction and Cost Savings of a School: End-Use Energy Analysis

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Aiman Roslizar ◽  
M. A. Alghoul ◽  
B. Bakhtyar ◽  
Nilofar Asim ◽  
K. Sopian
Keyword(s):  
Cost Saving ◽  
Potential Energy ◽  
Energy Conservation ◽  
Cost Savings ◽  
Energy Reduction ◽  
Lighting System ◽  
Energy Usage ◽  
Conservation Measures ◽  
End Use ◽  
Energy Conservation Measures

Buildings are among the largest consumers of energy. Part of the energy is wasted due to the habits of users and equipment conditions. A solution to this problem is efficient energy usage. To this end, an energy audit can be conducted to assess the energy efficiency. This study aims to analyze the energy usage of a primary school and identify the potential energy reductions and cost savings. A preliminary audit was conducted, and several energy conservation measures were proposed. The energy conservation measures, with reference to the MS1525:2007 standard, were modelled to identify the potential energy reduction and cost savings. It was found that the school’s usage of electricity exceeded its need, incurring an excess expenditure of RM 2947.42. From the lighting system alone, it was found that there is a potential energy reduction of 5489.06 kWh, which gives a cost saving of RM 2282.52 via the improvement of lighting system design and its operating hours. Overall, it was found that there is a potential energy reduction and cost saving of 20.7% when the energy conservation measures are earnestly implemented. The previous energy intensity of the school was found to be 50.6 kWh/m2/year, but can theoretically be reduced to 40.19 kWh/mm2/year.

scholarly journals Accelerometry combined with heart rate telemetry in the assessment of total energy expenditure

2006 ◽  
Vol 95 (3) ◽  
pp. 631-639 ◽  
Author(s):  
H. Patrik Johansson ◽  
Lena Rossander-Hulthén ◽  
Frode Slinde ◽  
Björn Ekblom
Keyword(s):  
Heart Rate ◽  
Energy Expenditure ◽  
Total Energy ◽  
Total Energy Expenditure ◽  
New Method ◽  
Criterion Measure ◽  
Analysis Model ◽  
Free Living ◽  
Advantages And Disadvantages ◽  
Method Analysis

The aim of the present study was: (1) to develop a new method for total energy expenditure (TEE) assessment, using accelerometry (ACC) and heart rate (HR) telemetry in combination; (2) to validate the new method against the criterion measure (DLW) and to compare with two of the most common methods, FLEX-HR and ACC alone. In the first part of the study VO2, HR and ACC counts were measured in twenty-seven subjects during walking and running on a treadmill. Considering the advantages and disadvantages of the HR and ACC methods an analysis model was developed, using ACC at intensities of low and medium levels and HR at higher intensities. During periods of inactivity, RMR is used. A formula for determining TEE from ACC, HR and RMR was developed: TEE =1·1×(EQHR×TTHR+EQACC1×TTACC1+EQACC2×TTACC2+RMR×TTRMR). In the validation part of the study a sub-sample of eight subjects wore an accelerometer, HR was logged and TEE was measured for 14d with the DLW method. Analysis of the Bland–Altman plots with 95% CI indicates that there are no significant differences in TEE estimated with HR–ACC and ACC alone compared with TEE measured with DLW. It is concluded that the HR–ACC combination as well as ACC alone has potential as a method for assessment of TEE during free-living activities as compared with DLW

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