Application of pascal's law in industry presented by: Asadzadeh Raul

APPLICATION OF PASCAL'S LAW IN INDUSTRY

Presented by: Asadzadeh Raul

University/faculty: ASOIU- SABAH Groups

Speciality: Oil and Gas Engineering

Group: 234.22ES

Teacher: PhD Hajiyeva Irade

Department: Department of Oil and Gas Transportation and Storage

Subject: Hydraulics

Baku-2023

Plan

• What is Pascal’s law? 3
• Formulas of the Pascal’s law 4
• Explanation of the Pascal’s law 5
• Application of the Pascal’s law
• Pressure gauge(manometer) 6
• Hydraulic systems 7
• Car brakes 8
• Water dams 9

What is Pascal’s law?

• Pascal’s law establishes the relation between pressure and the height of static fluids.
• According to Pascal's law, pressure applied anywhere in a confined incompressible fluid is spread equally in all directions throughout the fluid.
• the law was first described in 1653 by French mathematician Blaise Pascal written in his book- The Physical Treatises of Pascal.

3

Formulas of the Pascal’s law

• Acc
• rding to Pascal's law, pressure is equal to the ratio of the applied force by the surface area: p= P/A
• Let us consider an object in a liquid. if the pressures on the top and bottom of the object are p2 and p1 respectively, the pressure difference would be equal to:

p1-p2=mg/A=ρgh

4

Explanation of the Pascal’s law

• Hydraulic press- since pressure inside the closed system remains constant, this formula is true for a hydraulic press: p1=p2 P2/A2=P1/A1 and F1*d1=F2*d2
• Object in a liquid- let’s say that we have a prism abcdef in a liquid. Forces acting on the prism P1, P2, P3 are equal to:
• P1 = p1 x ad P2 = p2 x bd P3 = p3 x cd

The net force on the prism will be zero since the prism is in equilibrium.

F1 sin θ = F2 F1 cos θ = F3 P1 ad b/a = P2*bd P1 ad c/a = P3*cd

(eq 1) (eq 2)

From 1 and 2 P1 = P2 and P1 = P3

5

Application of the Pascal’s law Hydraulic press

• Hydraulic press is a tool used to mold, bend, shape materials, like wood, metal.
• Hydraulic press consists of a pump, providing pressure with incompressible liquid to piston through pipe.
• Hydraulic press is among the most used tool that works by Pascal’s law

6

Hydraulic systems

• Hydraulic jack is a tool (a jack that uses hydraulics) Used to lift heavy objects, like cars, mobile homes etc.
• Its working principle is similar to the hydraulic press- through the handle, small piston pushes liquid, giving pressure and pushing the large piston.

7

Hydraulic lift

• Hydraulic lift is a tool that is used for lifting heavy objects upwards.
• Its mechanism is very similar to hydraulic press- it uses hydraulic liquid to move pressure from the reservoir to the piston.

8

References

• https://www.geeksforgeeks.org/pascals-law/
• https://www.clippard.com/cms/wiki/pascals-law
• https://byjus.com/physics/pascals-law-and-its-application/
• https://en.wikipedia.org/wiki/Hydraulic_press
• https://en.wikipedia.org/wiki/Jack_(device)
• https://www.iqsdirectory.com/articles/hydraulic-press.html
• https://www.iqsdirectory.com/articles/hydraulic-lift.html

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