Practice Divergence of Velocity - 4.2.3 | 4. Continuity Equations | Fluid Mechanics - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge

4.2.3 - Divergence of Velocity

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a control volume in your own words.

💡 Hint: Think about the boundaries we set while studying fluid flow.

Question 2

Easy

What does it mean for a flow to be incompressible?

💡 Hint: Consider the relationship of density and volume in your answer.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the divergence of velocity indicate in a flow?

  • It measures the speed of the fluid.
  • It indicates the source or sink of mass.
  • It shows the direction of the flow.

💡 Hint: Consider what divergence literally measures in relation to the flow.

Question 2

True or False: In compressible flows, the divergence is always zero.

  • True
  • False

💡 Hint: Remember the definition distinguishing compressible from incompressible flow.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation