4.2.3 - Divergence of Velocity
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Practice Questions
Test your understanding with targeted questions
Define a control volume in your own words.
💡 Hint: Think about the boundaries we set while studying fluid flow.
What does it mean for a flow to be incompressible?
💡 Hint: Consider the relationship of density and volume in your answer.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the divergence of velocity indicate in a flow?
💡 Hint: Consider what divergence literally measures in relation to the flow.
True or False: In compressible flows, the divergence is always zero.
💡 Hint: Remember the definition distinguishing compressible from incompressible flow.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A fluid flows through a pipe with varying cross-sections. Analyze how mass conservation applies in calculating the velocity at different pipe segments.
💡 Hint: Consider how varying flow areas influence velocities to maintain mass balance.
Given a velocity vector field in a compressible flow, calculate its divergence and interpret the physical implications.
💡 Hint: Think of divergence as measuring where mass accumulates or disperses in flow.
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