Velocity of falling object through fluid flowing upward

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SUMMARY

The discussion focuses on calculating the velocity of an object falling through a vertical pipe filled with fluid flowing upward. It emphasizes the use of net force equations, specifically excluding frictional forces and buoyancy for simplification. The primary forces considered are gravitational force, quadratic drag, and the upward force exerted by the fluid. The discussion concludes that the velocity of the object can be determined by vectorially adding the fluid's velocity to the terminal velocity of the object in a stationary fluid.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with fluid dynamics concepts, particularly drag forces
  • Knowledge of terminal velocity principles
  • Basic vector addition in physics
NEXT STEPS
  • Research quadratic drag equations in fluid dynamics
  • Study the concept of terminal velocity in various fluid scenarios
  • Explore the effects of buoyancy in fluid mechanics
  • Learn about frame of reference transformations in physics
USEFUL FOR

Physics students, engineers working with fluid dynamics, and anyone interested in the mechanics of objects moving through fluids.

bk PE
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How to calculate the velocity of a object falling due to gravity through a pipe (vertical) where the fluid is flowing in upward direction?

Please ignore the frictional force & just consider
F net = F (gravity) - F (drag) - F (force the fluid exerting on the object during upward flow) - F(buoyancy)

Note: Buoyancy force also can be ignored for simplicity. The drag is quadratic drag, not stokes'. Consider the terminal velocity. Please devise the general way to calculate this.
 
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Can you find the velocity of an object through fluid that is not moving? If so just add (vectorally) the velocity of the fluid.
 
bk PE said:
F (drag) ... F (force the fluid exerting on the object during upward flow)

These are the same force. This is just a frame of reference problem.
 

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