Discovering Vortex Speeds: Calculating f(R) for Fluid Dynamics

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SUMMARY

The discussion focuses on calculating the fluid speed f(R) in a vortex, specifically using the Rankine vortex model. The equation provided, u[SIZE="1"]θ=Γ/2πr, defines the tangential velocity at a radius r from the center of the vortex. The participants seek a proof for this equation, indicating a need for a deeper understanding of vortex dynamics and fluid mechanics principles.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with vortex flow concepts
  • Knowledge of the Rankine vortex model
  • Basic mathematical skills for manipulating equations
NEXT STEPS
  • Study the derivation of the Rankine vortex equations
  • Explore the concept of irrotational flow in fluid dynamics
  • Learn about the Navier-Stokes equations and their application to vortex motion
  • Investigate experimental methods for measuring vortex speeds in fluids
USEFUL FOR

Fluid dynamics students, researchers in aerodynamics, and engineers working on vortex-related applications will benefit from this discussion.

luckis11
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The fluid or air speed increases as we are approaching the centre of the vortex. But how much? What's the equation giving the speed f(R) of the fluid at each radius R?
 
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