Investigating the Physics of a Cube Submerged in Fluid with Momentum

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SUMMARY

This discussion focuses on the fluid dynamics of a cube submerged in fluid, specifically addressing the effects of momentum, friction, drag forces, and buoyancy. Key points include the cube's interaction with a non-frictionless surface, the role of liquid drag as defined by the drag equation, and the influence of viscosity. The primary research question posed is to determine the maximum volume of liquid a cube can carry across a distance while submerged, factoring in surface area, momentum, and fluid properties.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the drag equation
  • Knowledge of buoyancy and friction forces
  • Basic concepts of viscosity and its effects in fluids
NEXT STEPS
  • Study the derivation and applications of the drag equation in fluid dynamics
  • Explore the relationship between friction and terminal velocity in submerged objects
  • Investigate the effects of viscosity on fluid motion and resistance
  • Research buoyancy forces in relation to submerged bodies in different fluids
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Researchers, students, and professionals in physics, particularly those focused on fluid dynamics, mechanical engineering, and applied mathematics.

MisterMumbleX
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I came up with a math research topic dealing with fluid dynamics, but I do not understand fluid dynamics much, so I would like to know what happens in the following situation:
A cube is on the bottom surface of a room. The cube is to be filled with a certain amount of fluid, and the room is completely filled with a certain amount of (not necessarily different) fluid, meaning that the cube is submerged in this fluid since the cube is in the room. The cube is given a certain amount of momentum.

My main questions are these:
will the cube experience friction with the bottom surface (which isn't frictionless) of the room?
will the cube experience a liquid drag force defined in the equation here:
http://en.wikipedia.org/wiki/Drag_equation?
if there was no friction with the bottom surface of the floor, would the drag force bring the cube to a stop (v = 0) or would it bring it to a terminal velocity?
when there is friction (which I assume there is), would the liquid drag force still bring the cube to a terminal velocity, then the cube comes to a stop due to friction, or what?
at the bottom surface of the room, the cube experiences a buoyancy force upward right against gravity right?
how does viscosity and viscosity force come into play here?

The math research question I came up with in case someone wanted to know what it was:
What is the maximum amount of a liquid a cube of a given surface area, on a non-frictionless surface, and given a specific momentum can carry across a certain distance while submerged in a certain liquid?
 
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MisterMumbleX said:
I came up with a math research topic dealing with fluid dynamics, but I do not understand fluid dynamics much, so I would like to know what happens in the following situation:
A cube is on the bottom surface of a room. The cube is to be filled with a certain amount of fluid, and the room is completely filled with a certain amount of (not necessarily different) fluid, meaning that the cube is submerged in this fluid since the cube is in the room. The cube is given a certain amount of momentum.

My main questions are these:
will the cube experience friction with the bottom surface (which isn't frictionless) of the room?
I think it wouldn't be able to rise. Like a fallen submarine.
will the cube experience a liquid drag force defined in the equation here:
http://en.wikipedia.org/wiki/Drag_equation?
The equation may have to be changed. I have to read the derivation.
if there was no friction with the bottom surface of the floor, would the drag force bring the cube to a stop (v = 0) or would it bring it to a terminal velocity?
If the force that imparts momentum is stopped, it'd suddenly reach v=0.
If the force is going on i think it'll reach terminal velocity.
when there is friction (which I assume there is), would the liquid drag force still bring the cube to a terminal velocity, then the cube comes to a stop due to friction, or what?
The continued force on the body would be reduced by a constant amount of frictional force against it.
So. terminal velocity.
at the bottom surface of the room, the cube experiences a buoyancy force upward right against gravity right?
With no liquid under it, it'd be difficult to get a push upwards.
how does viscosity and viscosity force come into play here?
as it does normally? (I know only mechanics. No fluid dynamics.)

The math research question I came up with in case someone wanted to know what it was:
What is the maximum amount of a liquid a cube of a given surface area, on a non-frictionless surface, and given a specific momentum can carry across a certain distance while submerged in a certain liquid?

would depend on densities and masses and forces. Is fluid dynamics mechanics extended?
 

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