Velocity of falling object through fluid flowing upward

In summary, to calculate the velocity of an object falling due to gravity through a pipe where the fluid is flowing in an upward direction, you can use the formula F net = F (gravity) - F (drag) - F (force the fluid exerting on the object during upward flow), ignoring frictional force and buoyancy force. The drag force should be considered as quadratic drag and the terminal velocity should be taken into account. If the fluid is not moving, the object's velocity can be found by vectorally adding the velocity of the fluid. Note that the drag force and the force exerted by the fluid on the object are equivalent and can be treated as the same force.
  • #1
bk PE
1
0
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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  • #2
Can you find the velocity of an object through fluid that is not moving? If so just add (vectorally) the velocity of the fluid.
 
  • #3
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.
 

Related to Velocity of falling object through fluid flowing upward

What is the velocity of a falling object through fluid flowing upward?

The velocity of a falling object through fluid flowing upward is affected by various factors such as the density and viscosity of the fluid, the shape and size of the object, and the force of gravity.

How does the density of the fluid affect the velocity of a falling object?

The denser the fluid, the greater the resistance it exerts on the falling object. This results in a slower velocity for the object as it moves through the fluid.

What role does viscosity play in the velocity of a falling object through upward flowing fluid?

Viscosity is a measure of a fluid's resistance to flow. A fluid with high viscosity will offer more resistance to the falling object, resulting in a slower velocity.

What is the significance of the shape and size of the falling object on its velocity through upward flowing fluid?

The shape and size of the object determine the amount of surface area that is in contact with the fluid. A larger surface area will experience more resistance and result in a slower velocity, while a smaller surface area will have less resistance and a faster velocity.

How does gravity affect the velocity of a falling object through upward flowing fluid?

The force of gravity pulls the object downward, causing it to accelerate as it falls. However, as the object moves through the fluid, the resistance from the fluid will increase, ultimately reaching a point where the force of gravity is equal to the resistance and the object will reach a constant velocity.

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