Pressure distribution of buoyancy force

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Discussion Overview

The discussion revolves around the conversion of buoyancy force into pressure distribution for a solid cylinder submerged in a fluid. Participants explore the implications for finite element analysis (FEA) where pressure loads are applied, specifically focusing on how to determine the pressure distribution along the radial height of the cylinder, which is oriented horizontally in the fluid.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant seeks to understand how to express buoyancy force in terms of pressure for FEA, specifically asking about the pressure distribution along the cylinder's height.
  • Another participant states that the resultant force from pressure on the surface of the body is the buoyant force and provides the equation for pressure in a fluid as \(\rho gh\).
  • Questions arise regarding which density to use in the pressure calculation, whether it should be the difference between the cylinder's density and the fluid's density, and what reference height should be used for pressure measurement.
  • A participant suggests that the 'rho' term in the pressure equation refers to the fluid's density and that height should be measured from the top of the fluid surface.

Areas of Agreement / Disagreement

There is no consensus on the correct approach to determining the pressure distribution, as participants express differing views on the appropriate density to use and the reference height for pressure calculations.

Contextual Notes

Participants highlight uncertainties regarding the assumptions in density selection and reference height, which may affect the pressure distribution calculations.

flyingbird
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Let's say we have a solid cylinder which is fully submerged in water or any fluid having density lower than of cylinder's density. I want to find out how can we convert the buoyancy force in terms of pressure. Actually I am doing FE analysis of this kind of problem and software allows to apply pressure loads only. How can we find out the buoyancy pressure distribution along the radial height of the cylinder. Cylinder is kept in horizontal position just as a submarine in water.

Thanks
FB
 
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flyingbird said:
Let's say we have a solid cylinder which is fully submerged in water or any fluid having density lower than of cylinder's density. I want to find out how can we convert the buoyancy force in terms of pressure. Actually I am doing FE analysis of this kind of problem and software allows to apply pressure loads only. How can we find out the buoyancy pressure distribution along the radial height of the cylinder. Cylinder is kept in horizontal position just as a submarine in water.

Thanks
FB

The resultant force from the pressure acting on the surface of the body is the buoyant force.

The pressure at any point in a fluid is equal to [itex]\rho gh[/itex].

CS
 
stewartcs said:
The resultant force from the pressure acting on the surface of the body is the buoyant force.

The pressure at any point in a fluid is equal to [itex]\rho gh[/itex].

CS

Which density we have to use here?
is it difference between two densities?
And what height will be used here? what is the reference point?
I have tried this, I don't think it is a correct way to do it.
 
flyingbird said:
Which density we have to use here?
is it difference between two densities?
And what height will be used here? what is the reference point?
I have tried this, I don't think it is a correct way to do it.

The 'rho' term in the equation is the density of the fluid. The height is the point at which you wish to know the pressure referenced from the top of the fluid surface.

CS
 

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