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Balance equations

2017
Any investigation of a nuclear thermal-hydraulic issue either by hand calculations or using more or less sophisticated simulation tools requires first a difficult selection of the right degree of simplification of equations depending on the situation and on the expected accuracy and reliability of the solution.
D. Bestion, C. Morel
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The Population Balance Equation [PDF]

open access: possible, 2008
The chemical engineering community began the first efforts that can be associated with the concepts of the population balance in the early 1960s.
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Population Balance Equations

2003
In Chapter 7, cell population balances are written in terms of a distribution of mass fractions of the total biomass. This allows a direct combination of intracellularly structured models and population models. However, the population balances based on mass fractions do not permit the incorporation into the model of specific events in the cell cycle ...
Jens Nielsen   +2 more
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Balance Equations

2013
In this Chapter, first we derive the macroscopic conservation laws of matter, momentum, energy and angular momentum for a multicomponent system subjected to conservative external forces and in which chemical reactions may occur. Then,the time growth of the macroscopic entropy of the system is derived, showing that it can be expressed as the product ...
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The equations of balance

2003
Dried materials have been called wet porous bodies under drying conditions. All dried materials (bodies) may be considered as almost fully saturated during the constant drying rate period. When the drying process reaches the critical point, that is, since the beginning of the falling rate period, the body will be considered as partly saturated.
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Balancing Redox Equations

Journal of Chemical Education, 2009
In response to a reader query, the column traces the origins and early development of our current techniques for balancing redox reactions.
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Balancing the Collaboration Equation

Science, 2000
Most African countries can't afford to support much research themselves, so the vast majority of studies of HIV/AIDS are being conducted in collaboration with scientists from the developed world. These partnerships have brought major benefits, but inherent inequalities can cause tensions and require constant give-and-take from both sides.
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Hamiltonian balance equations

Physica D: Nonlinear Phenomena, 1996
Abstract We find Hamiltonian balance equations (HBE) in Eulerian variables in the momentum formulation. This is done by expanding Hamilton's principle (HP) for the primitive equations (PE) in powers of the Rossby number, ϵ ⪡ 1, truncating at order O(ϵ), then retaining all the terms that result from taking variations. An alternative set of Hamiltonian
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The Material Balance Equation

1994
The material balance equation was first formulated by Schilthuis14 and introduced in 1936. Until well into the 1950s it was the only means of determining the production drive mechanism in oil and gas reservoirs, and of predicting their behaviour.
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The Balance Equation

The Evolution of ...
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