Fluid Flow and Conservation of Energy in Varying Cross-Sectional Area Pipes

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20 Questions

What is required to produce the acceleration of an incompressible fluid in a pipe of varying cross-sectional area?

A force exerted by the surrounding fluid

According to Bernoulli's equation, what does the pressure difference between two points in a pipe relate to?

Velocity changes and elevation changes

In a steady flow of incompressible fluid through a pipe of varying cross-sectional area, what causes the velocity to change?

Equation of continuity

What did Swiss physicist Daniel Bernoulli develop in 1738 to relate pressure difference between two points in a pipe?

Bernoulli's equation

What does the pressure difference between two points in a pipe depend on, according to Bernoulli's equation?

Velocity changes, elevation changes, and kinetic energy change

According to Bernoulli's equation, what remains constant as we move along a streamline?

All of the above

What is the assumption made when applying the energy conservation principle in fluid flow?

No energy is lost due to internal friction

In Bernoulli's equation, what does the term 'pgh' represent?

Potential energy per unit volume

What happens to the lost kinetic energy of a fluid according to Bernoulli's equation?

It gets converted into heat energy

Why does Bernoulli's equation ideally apply to fluids with zero viscosity?

Because it assumes no internal friction or energy loss

What is the general expression that relates the pressure difference between two points in a pipe to velocity and elevation changes, according to the text?

Bernoulli's equation

What is required to produce the acceleration of an incompressible fluid in a pipe of varying cross-sectional area, as mentioned in the text?

A force from the surrounding fluid is required

What did Swiss physicist Daniel Bernoulli develop in 1738 to relate pressure difference between two points in a pipe?

Bernoulli's equation

In Bernoulli's equation, what does the term 'pgh' represent?

Potential energy per unit volume

According to the text, what happens to the lost kinetic energy of a fluid according to Bernoulli's equation?

It is converted into potential energy

According to Bernoulli's equation, what does the term 'pgh' represent?

Change in gravitational potential energy

What assumption is made when applying the energy conservation principle in fluid flow?

No energy lost due to friction

What does the pressure difference between two points in a pipe depend on, according to Bernoulli's equation?

Flow velocity

What is required to produce the acceleration of an incompressible fluid in a pipe of varying cross-sectional area?

Pressure difference between two points

What happens to the lost kinetic energy of a fluid according to Bernoulli's equation?

Converted into heat energy

Explore the concepts of fluid flow in pipes with varying cross-sectional areas, and the application of conservation of energy in steady or streamline flows. Understand the relationship between velocity change, force, and the equation of continuity for incompressible fluids. Test your knowledge on this complex phenomenon.

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