Fluid Dynamics Quiz

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Questions and Answers

What does the equation of continuity state about mass flow in a fluid?

The equation of continuity states that the rate of mass accumulation in a fluid volume equals the rate of mass inflow minus the rate of mass outflow.

How does Bernoulli's theorem relate the kinetic, potential, and pressure energies of a fluid?

Bernoulli's theorem states that the sum of kinetic energy, potential energy, and pressure energy per unit mass of a fluid is constant along a streamline.

What is the equation used to calculate the velocity of a falling object, and what do its variables represent?

The velocity of a falling object can be calculated using the equation v = √2gh, where $g$ represents gravitational acceleration and $h$ is the height fallen.

In the context of fluid mechanics, what does the conservation of energy principle imply?

<p>The conservation of energy principle implies that the total mechanical energy of a fluid, including gravitational, pressure, and kinetic energy, remains constant along a streamline.</p> Signup and view all the answers

What is the significance of understanding the velocity changes of a fluid along a streamline?

<p>Understanding the velocity changes of a fluid along a streamline is significant as it helps in analyzing the flow characteristics and determining pressure variations in different sections of the fluid.</p> Signup and view all the answers

Flashcards

Equation of Continuity

The conservation of mass principle applied to fluid flow. States that the rate of mass entering a control volume must equal the rate of mass leaving, assuming no mass accumulation within.

Bernoulli's Theorem

Describes the relationship between fluid velocity, pressure, and elevation in a steady flow. It states that the sum of kinetic energy, potential energy, and pressure energy per unit mass of a fluid remains constant along a streamline.

Velocity of a Fluid

The rate of change of a fluid's position over time. Can be calculated using equations like v = √2gh for a falling object.

Conservation of Energy in Fluid Flow

The total mechanical energy of a fluid, including gravitational, pressure, and kinetic energy, remains constant along a streamline.

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Steady Flow

The fluid flow where the velocity, pressure, and density at any given point remain constant over time.

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Study Notes

Equation of Continuity

Describes the conservation of mass in a fluid flow.
The rate of mass accumulation in a fluid element equals the rate of mass inflow minus the outflow.

Bernoulli's Theorem

Describes the conservation of energy in a fluid flow.
The total mechanical energy (gravitational potential energy, fluid pressure energy, and kinetic energy) of a fluid remains constant as it moves along a streamline.