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Terminal Velocity of a Falling Object using Ansys Fluent Software

In this study, we explore a classic fluid dynamics problem using the Falling Sphere Viscometer test case available on Ansys Innovation Space. The objective is to demonstrate how drag force acting on a body can be expressed as a function of the Reynolds number, a key non-dimensional parameter in fluid flow analysis. By deriving a functional relationship between drag and Reynolds number, we implement it within a numerical time integration scheme to predict the terminal velocity of a sphere falling through different fluids. This case effectively illustrates how computational fluid dynamics (CFD) can be leveraged to analyze and predict physical behavior in real-world engineering applications. Simulations in this exercise utilize Ansys Fluent®, a fluid simulation software.

Learning Outcomes

  • Properly set up and run a CFD simulation for terminal velocity
  • Describe drag as a function of Reynolds number using CFD results

Applicable Courses for Use

  • Fluid Mechanics
  • Computational Fluid Dynamics (CFD)
  • Advanced Fluid Mechanics

Downloadable Content

  • Case Study Report
  • simulation run files for glycerin case

Related Resources

What are Fluids? using Ansys Fluent

Governing Equations of Fluids using Ansys Fluent

Fluid Kinematics using Ansys Fluent

Terminal Velocity Case Study Webpage

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