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Questions and Answers
What does the equation of continuity state about mass flow in a fluid?
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?
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?
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?
In the context of fluid mechanics, what does the conservation of energy principle imply?
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What is the significance of understanding the velocity changes of a fluid along a streamline?
What is the significance of understanding the velocity changes of a fluid along a streamline?
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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.
Velocity of Fluid
- The velocity of a fluid is related to the height and pressure of the fluid using the Bernoulli's principle.
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Description
Test your understanding of critical concepts in fluid dynamics, including the equation of continuity and Bernoulli's theorem. This quiz covers the principles of mass conservation and energy conservation in fluid flow, as well as the relationship between fluid velocity, height, and pressure.
