What property of a fluid determinates rising and sinking Velocities

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SUMMARY

The discussion centers on the factors that determine the rising and sinking velocities of fluids, specifically focusing on fluid A with density X and fluid B with density X/2. Key properties influencing these velocities include density, viscosity, and buoyancy. Additionally, parameters such as the Atwood number, Rayleigh number, and Grashof number are critical in understanding fluid dynamics in this context. The relationship between density and velocity is established, indicating that a fluid with double the density will sink with double the velocity.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of density and viscosity concepts
  • Familiarity with buoyancy effects in fluids
  • Basic grasp of the Atwood number, Rayleigh number, and Grashof number
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  • Research the Atwood number and its application in fluid mechanics
  • Explore the Rayleigh number and its significance in buoyancy-driven flows
  • Study the Grashof number and its role in natural convection
  • Investigate the relationship between viscosity and elasticity in fluid dynamics
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Students and professionals in fluid mechanics, physicists, and engineers interested in understanding the dynamics of fluid interactions and behaviors in varying conditions.

Gabriel Ulisses
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If we have a bottle with a fluid A of X density, and in the bottom of this bottle it magically spawns the same amount of fluid B with X/2 density, fluid B should rise in fluid A until they both change positions and fluid B floats in A.
which property of the fluids are the ones that determinates the velocity fluid B rises in A.
Is it based on the density? As in: A fluid with double the density would sink with double velocity.
Is it the viscosity of both fluids?
Buoyancy?
In the case of viscosity, if B were to be a solid object would elasticity replace viscosity? or it would only varry with the viscosity of A?

Thanks
 
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Both density and viscosity play roles.
 
Other important parameters here would be the Atwood number, Rayleigh number, and Grashof number.
 

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