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Related Concept Videos

Irrotational Flow01:28

Irrotational Flow

Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
Equation of Continuity01:12

Equation of Continuity

Fluid motion is represented by either velocity vectors or streamlines. The volume of a fluid flowing past a given location through an area during a period of time is called the flow rate Q, or more precisely, the volume flow rate. Flow rate and velocity are related—for instance, a river has a greater flow rate if the velocity of the water in it is greater. However, the flow rate also depends on the size and shape of the river. The relationship between flow rate (Q) and average speed (v)...
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Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the streamlines...
Couette Flow01:22

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Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
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Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...

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Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
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Universality in oscillating flows.

K L Ekinci1, D M Karabacak, V Yakhot

  • 1Department of Mechanical Engineering, Boston University, Boston, Massachusetts 02215, USA. ekinci@bu.edu

Physical Review Letters
|May 14, 2009
PubMed
Summary
This summary is machine-generated.

Oscillating fluid flow, both Newtonian and non-Newtonian, is governed by a universal scaling parameter (omega tau). This finding reveals a fundamental connection between simple and complex fluid dynamics.

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Area of Science:

  • Fluid dynamics
  • Rheology
  • Physics of complex systems

Background:

  • Understanding fluid behavior across different regimes (Newtonian and non-Newtonian) is crucial.
  • Characterizing energy dissipation in mechanical systems requires knowledge of fluid properties.

Purpose of the Study:

  • To identify a universal descriptor for oscillating fluid flow.
  • To investigate the applicability of this descriptor to energy dissipation in mechanical resonators.

Main Methods:

  • Analysis of fluid flow data in both Newtonian and non-Newtonian regimes.
  • Comparison of experimental data for mechanical resonator energy dissipation with theoretical predictions.

Main Results:

  • A universal function dependent on the dimensionless parameter omega tau describes oscillating flow.
  • Geometry and linear dimensions do not influence this flow behavior.
  • Energy dissipation in rarefied gases closely follows this universality across wide ranges of dimensions and frequencies.

Conclusions:

  • Oscillating fluid flow exhibits universal behavior characterized by omega tau.
  • This universality extends to energy dissipation in mechanical resonators, suggesting broader physical principles.
  • A deep connection exists between the flow dynamics of simple and complex fluids.