Pressure and Force in Fluid Dynamics: Clarifying the Application of Pascal's Law

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SUMMARY

This discussion centers on the application of Pascal's Law in fluid dynamics, specifically regarding pressure and force in a horizontal tube with varying cross-sectional areas. When a force of 100N is applied to a 10m² area, the resulting pressure is 10Pa, leading to a force of 10N on the 1m² side. The conversation highlights the confusion around the pressure exerted when an additional force of 11N is applied to the smaller area while the larger area maintains the 100N force. The conclusion emphasizes the need to analyze these scenarios using the Bernoulli equation, without considering viscous frictional pressure drops.

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  • Understanding of Pascal's Law in fluid mechanics
  • Basic knowledge of pressure calculations (Pressure = Force/Area)
  • Familiarity with the Bernoulli equation
  • Concept of fluid dynamics and flow behavior
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  • Study the Bernoulli equation and its applications in fluid dynamics
  • Explore the implications of viscous frictional pressure drops in fluid systems
  • Investigate real-world applications of Pascal's Law in hydraulic systems
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This discussion is beneficial for students and professionals in engineering, particularly those focusing on fluid dynamics, hydraulic systems, and anyone seeking to deepen their understanding of pressure and force interactions in fluids.

noobie_doobie
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Appreciate all assistance in clearing my flow of thoughts with regards to the topic on Pascal Law...

Scenario : A horizontal tube (consisting of fluid) having an area of 10m2 and 1m2 on opposite side
If I were to exert a force of 100N on one side of a surface of 10m2(pressure will then be 10Pa), according to Pascal law, the pressure within the fluid will be 10Pa. Consequently, at the 1m2 side i will only be able to push overcome a resistance of 10N.
Does this means that since there is an inbalance of forces(100N vs 10N), the fluid will keep moving towards the direction of smaller area indefinitely if the condition remain??

My confusion arise here : Say if I to exert a force of 11N on the 1m2 side, with the force of 100N still acting on the 10m2 surface, what will the pressure inside the liquid be(10Pa or 11Pa). Also, in which direction will the fluid move??

Thanks!
 
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The OP should be analyzing this using the Bernoulli equation. Also, no consideration is given to viscous frictional pressure drop.
 

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