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Related Concept Videos

Coriolis Force01:23

Coriolis Force

An accelerating particle experiences a force equal to the mass multiplied by the acceleration in an inertial frame of reference. Consider a particle in a non-inertial frame of reference, such as a sliding ball on a rotating table. The acceleration of the ball in this rotating reference frame is different than in the intertial frame, which modifies its equation of motion. The fictitious forces acting additionally on a rotating frame of reference alter Newton's Second Law expression. Centripetal...
Gyroscope: Precession01:24

Gyroscope: Precession

Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a vertical angle and is not spinning, it will fall over due to the force of gravity producing a torque acting on its center of mass. However, if the top is spinning on its axis, it precesses about the vertical direction, rather than topple over due to this torque. Precessional motion is a combination of a steady circular motion of the axis and the...
Rotational Motion about a Fixed Axis01:26

Rotational Motion about a Fixed Axis

A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or revolutions, where one...
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
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Rotation of Asymmetric Top01:11

Rotation of Asymmetric Top

By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if there is no spherical symmetry. Since most rigid bodies are not spherically symmetric, these require special treatment.
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Curvilinear Motion: Normal and Tangential Components01:27

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When a car traverses a curved road, its motion can be elucidated by breaking it down into tangential and normal components. The car-centric coordinates attached to the vehicle move with it.
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Using Eye-tracking to Assess the Relative Importance of Visual and Vestibular Input to Subcortical Motion Processing in the Roll Plane
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Coriolis effects on fingering patterns under rotation.

Enrique Alvarez-Lacalle1, Hermes Gadêlha, José A Miranda

  • 1Departament de Fisica Aplicada, Universitat Politecnica de Catalunya (UPC), EPSEB, Avenue Doctor Marañón, 44-50, Barcelona 08028, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2008
PubMed
Summary
This summary is machine-generated.

The Coriolis force influences viscous fingering in rotating Hele-Shaw cells, altering pattern evolution and morphology. Inertial and viscous effects interplay, with Coriolis force causing phase drift and viscosity contrast dictating finger bending.

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Area of Science:

  • Fluid dynamics
  • Non-Newtonian fluid mechanics
  • Pattern formation

Background:

  • Viscous fingering is a key phenomenon in fluid dynamics, particularly in porous media and Hele-Shaw cells.
  • The Coriolis force, arising from rotation, can significantly impact fluid flow patterns.

Purpose of the Study:

  • To investigate the role of the Coriolis force in the development of immiscible viscous fingering patterns.
  • To understand how rotation affects the time evolution and morphology of these patterns.

Main Methods:

  • Analytical approach using vortex sheet formalism.
  • Numerical simulations for fully nonlinear stages.
  • Derivation of vortex sheet strength and linear dispersion relation.

Main Results:

  • Coriolis force's normal component of averaged interfacial velocity is crucial.
  • This leads to a time-varying linear dispersion relation and complex-valued phases.
  • Interplay between inertial and viscous effects modifies dynamics and pattern structures.
  • Coriolis force induces phase drift opposite to cell rotation; viscosity contrast dominates finger bending.

Conclusions:

  • The Coriolis force introduces complex dynamics to viscous fingering.
  • Understanding these effects is vital for applications involving rotating fluid systems.
  • Viscosity contrast remains the primary determinant of finger morphology despite rotational influences.