6 Questions
What is the law that states that a certain pressure applied at any point in a fluid at rest is equally transmitted in all directions and to every other point in the fluid?
Pascal's law
What happens to the water level in a vessel if a block of ice floating over water in it slowly melts?
It remains the same
Which set of conditions clearly applies to an ideal fluid?
Non-viscous and incompressible
What does the existence of velocity potential imply about the flow of a fluid?
Flow is irrotational
What is the absolute pressure in a vessel if the reading of the pressure gauge is 25 bars and the atmospheric pressure is 1.03 bar?
26.03 bar
What principle is the Euler's equation of motion for the flow of an ideal fluid derived from?
Conservation of momentum and the fluid as incompressible and inviscid
Study Notes
Fluid Mechanics
Pressure in Fluids
- Pascal's law states that when a certain pressure is applied at any point in a fluid at rest, the pressure is equally transmitted in all directions and to every other point in the fluid.
Buoyancy and Flotation
- When a block of ice, floating over water in a vessel, slowly melts, the water level in the vessel will remain the same.
Ideal Fluid
- An ideal fluid is non-viscous and incompressible.
Pressure Measurement
- To find the absolute pressure in a vessel, the reading of the pressure gauge must be combined with the atmospheric pressure.
- Example: If the reading of the pressure gauge is 25 bars and the atmospheric pressure is 1.03 bar, the absolute pressure in the vessel is 26.03 bar.
Fluid Flow
- Existence of velocity potential implies that the flow is irrotational.
- Euler's equation of motion for the flow of an ideal fluid is derived considering the principle of conservation of momentum and the fluid as incompressible and inviscid.
Test your understanding of fluid mechanics with these questions on pressure transmission and buoyancy. Apply your knowledge of Pascal's law and Archimedes' principle to solve these problems.
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