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Related Concept Videos

Couette Flow01:22

Couette Flow

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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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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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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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
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Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Flow visualization of Bénard convection using holographic interferometry.

M Ueda1, K Kagawa, K Yamada

  • 1Fukui University, Fukui 910, Japan.

Applied Optics
|April 17, 2010
PubMed
Summary

Holographic interferometry visualizes fluid flow, revealing regular convective rolls in Rayleigh-Bénard convection. Vertical velocity closely follows a sinusoidal pattern, influenced by temperature.

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Area of Science:

  • Fluid dynamics
  • Optical physics
  • Heat transfer

Background:

  • Rayleigh-Bénard convection is a fundamental model for studying fluid instabilities driven by buoyancy.
  • Understanding the precise nature of convective rolls and velocity fields is crucial for characterizing heat transport.

Purpose of the Study:

  • To apply holographic interferometry for detailed visualization of Rayleigh-Bénard flow.
  • To obtain 2-D, full-field velocity data within the fluid volume at specific time instances.

Main Methods:

  • A fluid seeded with alumina particles was illuminated by sheetlike light.
  • Scattered light was recorded to create a hologram.
  • Holographic reconstruction provided 2-D velocity field information.

Main Results:

  • Regular convective rolls were observed, oriented perpendicular to the cell's long side.
  • The vertical velocity distribution approximated a sinusoidal function of horizontal distance.
  • Maximum vertical velocity showed a near-proportional relationship to the half-power of reduced temperature.

Conclusions:

  • Holographic interferometry is effective for analyzing complex fluid flows like Rayleigh-Bénard convection.
  • The study quantitatively describes the behavior of convective rolls and their velocity profiles.
  • Findings contribute to a deeper understanding of buoyancy-driven fluid dynamics and heat transfer mechanisms.