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Related Concept Videos

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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.
Fluid Pressure over Flat Plate of Constant Width01:05

Fluid Pressure over Flat Plate of Constant Width

When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
The resultant force...
Fluid Pressure over Flat Plate of Variable Width01:02

Fluid Pressure over Flat Plate of Variable Width

When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
Fluid Pressure over Curved Plate of Constant Width01:12

Fluid Pressure over Curved Plate of Constant Width

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...
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...
Transformation of Plane Stress01:18

Transformation of Plane Stress

Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's faces...

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Related Experiment Video

Updated: May 23, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Plateau Rayleigh instability simulation.

Ryan Mead-Hunter1, Andrew J C King, Benjamin J Mullins

  • 1Curtin Health Innovation Research Institute, Curtin University, Perth, WA 6845, Australia.

Langmuir : the ACS Journal of Surfaces and Colloids
|April 20, 2012
PubMed
Summary

Computational fluid dynamics (CFD) simulations using a volume-of-fluid (VOF) solver accurately predict liquid film breakup into droplets. Airflow affects droplet formation time but not stable film thickness, with new displacement relationships derived.

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Area of Science:

  • Fluid Dynamics
  • Computational Physics

Background:

  • Plateau-Rayleigh instability describes liquid jet and film breakup.
  • Understanding droplet formation is crucial in various industrial processes.

Purpose of the Study:

  • To simulate liquid film breakup on a cylindrical element using computational fluid dynamics (CFD).
  • To validate the volume-of-fluid (VOF) method against experimental data and theory.
  • To investigate the influence of airflow on droplet formation and motion.

Main Methods:

  • Simulation of Plateau-Rayleigh instability using a volume-of-fluid (VOF) solver.
  • Comparison of simulation results with experimental observations and theoretical predictions.
  • Analysis of droplet spacing, motion, and displacement under fluid flow.

Main Results:

  • The VOF method accurately predicts the formation of axisymmetric or clam-shell droplets based on surface energy.
  • Simulations precluded the formation of unrealistically large films.
  • Droplet spacing showed good agreement with theoretical models.
  • Airflow around droplets reduced formation time but did not affect stable film thickness.

Conclusions:

  • The VOF method is a reliable tool for simulating liquid film breakup phenomena.
  • Novel relationships for droplet displacement were established based on simulation results.
  • The study provides insights into droplet formation dynamics influenced by external airflow.