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Conservation of Momentum
Conservation of momentum represents the fundamental principle of dynamics (the second Newton law); it is the law governing fluid motion, under the...
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Differential Form of Conservation Equations
The detailed structure of a flow field and its evolution over time are described by a system of partial differential equations that stem from the...
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Conservation Equations
A flow problem is described mathematically by the conservation equations for mass, momentum and energy. In this chapter, the conservation equations...
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Momentum and Energy Transport
When solar radiation is converted into heat, thermal losses occur mainly due to passive heat transport modes as there are conduction through gases...
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Stress Tensors and Conservation Laws
Conservation laws of mass, momentum, angular momentum, etc. must be fulfilled during a deformation. These laws are described first in detail. Then,...
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Conservation Equations—Physical and Mathematical Aspects
To succeed in a numerical simulation it is mandatory to known the physics of the problem under analysis. And, in the case of fluid flows,...
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Mass and Momentum Balances
Mass and momentum balance are the basic of fluid flow. Differential mass balance (continuity equation), and differential momentum balance or equation...
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Attitude and Momentum Control
From a system engineering point of view, there are several fundamental concepts for three-axis attitude and momentum control, which are briefly...
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Conservation of Energy (Bernoulli Balance)
In the absence of other, non-mechanical forms of energy transferred from/to the fluid system, conservation of mechanical energy is a direct...
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Enhancing System Response with a Novel Nonlinear Displacement–Velocity-Dependent Damper Considering Momentum Variation
In this article, a novel nonlinear displacement–velocity-dependent (NDVD) damper that takes into account the effect of momentum variation is...
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STEADY FLOW CONSERVATION LAWS
Three conservation laws – conservation of mass, conservation of momentum, and conservation of energy – describe steady, free-surface flows. In this...
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An Implicit Numerical Method for Integration of the Conservation Equations Incorporated into the KORSAR Code Two-Fluid Model
AbstractA noniterative implicit method for solving the discrete conservation equations of the KORSAR/GP computer code (hereinafter referred to as...
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Momentum search algorithm: a new meta-heuristic optimization algorithm inspired by momentum conservation law
A novel optimization methodology, Momentum Search Algorithm (MSA) is presented based on Newton’s laws: the law of conservation of momentum. It...
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Orbital angular momentum detection device for vortex microwave photons
Orbital angular momentum (OAM), which was first discovered in the optical field, represents a new dimension of electromagnetic waves. However, the...
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Conservation of energy in the direct numerical simulation of interface-resolved multiphase flows
In the context of deformable bubbles, surface tension produces a dynamic exchange between kinetic and surface elastic energy. This exchange of energy...
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Kane’s equations for nonholonomic systems in bond-graph-compatible velocity and momentum forms
The authors’ previously published results on a bond-graph-compatible and nonholonomic momentum form of Kane’s equations are extended, from...
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Energy–momentum integration and analysis for sliding contact coupling dynamics in large flexible multibody system
This paper studies the energy–momentum conserving integration for large flexible dynamic systems combining the node-to-element sliding contact pair,...
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Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov–Ivanov equations
In this paper, we investigate the coupled Gerdjikov–Ivanov equations, which have the physical applications in nonlinear optics. The mass, energy and...
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Semi-empirical model for abrasive particle velocity prediction in abrasive waterjet based on momentum transfer efficiency
Abrasive waterjet (AWJ) is a technology that removes a target material with an abrasive accelerated by ultra-high-pressure water. Recently, its...
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Problems and Prospects for Conservation of Traditional Bazaars in Walled City of Jaipur
India’s steady economic growth since independence has positioned it as a leading emerging economy. This growth is crucial for overall development,...