Calculate Pressure Applied on Fluid by Piston Cylinder Arrangement

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    Fluid Pressure
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Discussion Overview

The discussion revolves around the pressure applied on a fluid by a piston cylinder arrangement, specifically examining the relationship between the force applied and the resulting fluid pressure. The scope includes theoretical considerations and conceptual clarifications related to fluid mechanics and hydraulics.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires whether the pressure exerted by the piston on the fluid is equal to the force per unit area (x).
  • Another participant states that this equality holds true if the process is quasistatic.
  • A different participant notes that while the pressure at the top of the fluid is x, at greater depths, the pressure must account for the weight of the fluid (ρgh).
  • One participant emphasizes that the situation described is a state rather than a process.
  • Another participant suggests that in a no-gravity scenario, the pressure relationship still holds true.
  • Several participants affirm that this principle is fundamental to hydraulics and relates to Pascal's principle.

Areas of Agreement / Disagreement

Participants express some agreement on the basic principles of fluid pressure in relation to the piston arrangement, but there are differing views on the conditions under which the pressure is equal to the applied force per unit area, particularly regarding the effects of depth and gravity.

Contextual Notes

Participants mention conditions such as quasistatic processes and gravity, indicating that the discussion may depend on these factors, which are not fully resolved.

Who May Find This Useful

Individuals interested in fluid mechanics, hydraulics, and related engineering applications may find this discussion relevant.

dE_logics
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In this attached image, a force is applied through a piston cylinder arrangement of cross section 1 cm...this force is uniformly distributed throughout the 1cm wide piston...so there's a certain pressure (x) that it poses on the fluid.

Will the fluid pressure under action of this force be = x?

Though it obviously should be, but I see some major advantages of this arrangement, that's why I'm asking.
 

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It will, if it's a quasistatic process.
 
dE_logics said:
Will the fluid pressure under action of this force be = x?
At the top of the fluid, yes. At depths below the surface, you'll need to add a ρgh term due to the weight of the fluid.
 
defunc said:
It will, if it's a quasistatic process.

It's not a process, it's a state.
 
Doc Al said:
At the top of the fluid, yes. At depths below the surface, you'll need to add a ρgh term due to the weight of the fluid.

Assume no gravity situation.

Verdict:Yes it's true.
 
Yes, this is essentially how hydraulics work.
 
dE_logics said:
Verdict:Yes it's true.
Yes, this is Pascal's principle.
 
Ok, thanks a lot everyone!
 

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