TERMIUM Plus®

The Government of Canada’s terminology and linguistic data bank.

MOMENTUM EQUATION [4 records]

Record 1 2009-11-10

English

Subject field(s)
  • Fluid Mechanics and Hydraulics (Physics)
  • Nuclear Science and Technology
CONT

In the homogeneous equilibrium model (HEM) one assumes that the velocity, temperature and pressure between the phases or components are equal.

OBS

This assumption is based on the belief that differences in these three potential variables(and chemical potential if chemical reactions are considered) will promote momentum, energy, and mass transfer between the phases rapidly enough so that equilibrium is reached. For example, when one phase is finely dispersed in another phase generating large interfacial area, under certain circumstances this assumption can be made; e. g., bubbly flow of air in water or steam in water at high pressures. The resulting equations resemble those for a pseudo-fluid with mixture properties and an equation of state which links the phases to obtain these mixture thermodynamic properties. Whenever the HEM model is used it is advisable to check the validity of the equilibrium assumptions by using more accurate theoretical models for comparison. For example, rapid acceleration or pressure changes cannot be always accurately modelled with the HEM model; i. e., discharge of flashing vapor-liquid mixtures, or shock wave propagation through a multiphase medium. This is especially true when the pressure change is large when compared to the ambient pressure, or any of the driving potentials are large relative to their reference values.

French

Domaine(s)
  • Mécanique des fluides et hydraulique (Physique)
  • Sciences et techniques nucléaires
CONT

Les écoulements à direction privilégiée peuvent soit être considérés comme monodimensionnels, soit conduire à des équations simplifiées en ne considérant que les termes prédominants. Le modèle le plus simple revient à homogénéiser les deux phases en considérant un fluide dont les propriétés physiques sont déterminées par le taux de présence des deux phases. En écoulement à direction privilégiée (vertical ascendant), les deux phases étant en équilibre thermodynamique et mécanique, le modèle homogène à l'équilibre (HEM) se révèle satisfaisant et particulièrement utile. À partir de ce modèle, on peut introduire des effets de glissement ou de déséquilibre thermique (apparition de vapeur lorsque le fluide n'est pas encore à saturation).

Spanish

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Record 2 2003-11-21

English

Subject field(s)
  • General Mechanics (Physics)
  • Aircraft Piloting and Navigation
  • Navigation Instruments
  • Flight Instruments and Equipment (Aeroindustry)
DEF

Euler’s equations : A set of three differential equations expressing relations between the force moments, angular velocities, and angular accelerations of a rotating rigid body.

CONT

Forced Precession. Consider now what happens when a rotating symmetric body is subjected to a torque. It is clear from Euler's equation that when the applied torque is parallel to the angular momentum, the body experiences an angular acceleration which changes the magnitude of the angular velocity but not its direction. However, that is where the analogy to the translational case ends. Strange as it may seem, the equation implies that the response of the rotor to a torque applied normal to the spin axis is to rotate in a direction normal to both the spin axis and the applied torque. This phenomenon is also called precession.

OBS

Terms usually used in the plural.

Key term(s)
  • Euler's equations
  • Euler equations

French

Domaine(s)
  • Mécanique générale (Physique)
  • Pilotage et navigation aérienne
  • Instruments de navigation
  • Instruments et équipement de bord (Constructions aéronautiques)
CONT

Mécanique classique I. Objectifs du cours. Introduire l'étudiante, l'étudiant aux concepts fondamentaux de la physique. Le cours porte particulièrement sur la mécanique de Newton et le Lagrange. [...] Dynamique des corps rigides. 1. Introduction. 2. Moment d'inertie. 3. Moment cinétique. 4. Les axes principaux d'inertie. 5. Angles d'Euler. 6. Équations d'Euler. 7. La toupie symétrique. 8. Applications.

OBS

Terme habituellement utilisé au pluriel.

Key term(s)
  • équations d'Euler

Spanish

Campo(s) temático(s)
  • Mecánica general (Física)
  • Pilotaje y navegación aérea
  • Instrumentos de navegación
  • Instrumentos y equipo de vuelo (Industria aeronáutica)
DEF

Ecuaciones dinámicas generales del movimiento de un sólido rígido.

Key term(s)
  • ecuación de Euler
Save record 2

Record 3 1989-02-28

English

Subject field(s)
  • Glaciology
  • Environmental Studies and Analyses
CONT

The reciprocal of the deposition velocity [on a snow surface] is called the total resistance.... it follows after introducing the roughness length xyz for the wind profile [an equation]... where the total resistance has been expressed as a sum of four positive resistances.... the aerodynamic resistance(2)... the boundary layer resistance which accounts for the physically different mechanisms of mass and momentum transfer at a rough surface.... the surface resistance which is 0 for a perfect sink.

CONT

... this result does not agree with average surface resistance of 1 to 10 cm used by the RADM model for similar condition, nor with a recent review of the deposition literature by xyz which recommends for modelling an average surface resistance for SO2 to snow of 7 s cm [superscript-1].

French

Domaine(s)
  • Glaciologie
  • Études et analyses environnementales
OBS

lié à la notion de "rugosité" (en anglais : "roughness"). Il s'agit de la résistance offerte par la surface du sol à l'écoulement des polluants (dépôts secs) dans leur chute.

OBS

"rugosité" : État d'une surface représentant des aspérités ou des ondulations, de plus ou moins faible amplitude, opposant une résistance à l'écoulement. Les modèles de transport à grande distance des polluants utilisent des données sur les émissions, la rugosité et les types de sols ainsi que des données météorologiques. (Source : BT-175 : Voc. de la pollution atmosphérique de Denis Rivard].

Spanish

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Record 4 1988-05-13

English

Subject field(s)
  • Environmental Studies and Analyses
  • Air Pollution
CONT

Exact approach. This is based on the solution of the following set of governing equations with the appropriate boundary conditions : Conservation of mass... [, ] Conservation of momentum equation... [, ] Conservation of energy equation... [, ] and the equation of state....

French

Domaine(s)
  • Études et analyses environnementales
  • Pollution de l'air

Spanish

Save record 4

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