Conservation of Mass and Steady Flow in Fluid Mechanics

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AdmirableLagoon
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10 Questions

What is the force per unit volume on a fluid element denoted by?

f

Which type of force is due to viscous dissipation and usually ignored in fluid dynamics?

Internal force

What is the force acting throughout the volume of the fluid, such as the gravitational force, called?

Body forces

Which type of force is due to pressure gradients within the fluid?

Pressure force

What is the net force in the x-direction for a cube of fluid determined by a pressure gradient?

$p \frac{\partial p}{\partial x} \Delta x \Delta y \Delta z$

What does Euler's equation relate in fluid dynamics?

Viscosity and velocity gradient

Which principle states that mass can neither be created nor destroyed, only transferred or transformed?

Principle of Conservation of Mass

What does the equation of continuity in fluid dynamics describe?

Conservation of mass

$\nabla p$ represents which physical quantity in fluid dynamics?

Option C

What does 𝜕𝑝⁄𝜕𝑥 ∆𝑥 ∆𝑦∆𝑧 represent in the context of fluid mechanics?

Force acting on the top face

This quiz covers the principle of conservation of mass for any control volume in fluid mechanics, focusing on the equation for steady flow where mass entering per unit time equals mass leaving per unit time. The concept of incompressible flow is also discussed.

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