Fluid Mechanics - Vol 3 | 3. Mass Conservation Equation- I by Abraham | Learn Smarter
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
3. Mass Conservation Equation- I

The chapter discusses the differential analysis of fluid flow, emphasizing the transition from integral to differential approaches in fluid mechanics. It introduces the fundamental principles behind mass conservation and momentum equations and elaborates on the concept of partial differential equations as they relate to fluid dynamics. Key derivations include the application of Reynolds transport theorem and Gauss's divergence theorem, which are vital for understanding mass conservation in fluid systems.

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.

Sections

  • 3

    Fluid Mechanics

    The section introduces differential analysis of fluid flow, contrasting integral approaches with differential methodologies and focusing on mass conservation equations.

    Learning Practice

  • 3.1.1

    Mass Conservation Equation- I

    This section introduces the fundamental mass conservation equation in fluid mechanics, emphasizing the transition from integral to differential analysis of fluid flow.

    Learning Practice

  • 3.1.2

    Integral Approach

    The integral approach in fluid mechanics focuses on analyzing control volumes to apply mass conservation and momentum equations in fluid flow scenarios.

    Learning Practice

  • 3.1.3

    Differential Approach

    The differential approach in fluid mechanics allows for detailed analysis of fluid dynamics at individual points within the flow, contrasting with the integral approach that examines broader control volumes.

    Learning Practice

  • 3.1.4

    Basic Concept Of Control Volumes

    The section discusses the concept of control volumes in fluid mechanics, differentiating between integral and differential analysis.

    Learning Practice

  • 3.1.5

    Partial Differential Equations

    This section discusses the fundamental concepts of partial differential equations in the context of fluid mechanics, focusing on mass and momentum conservation principles.

    Learning Practice

  • 3.1.6

    Reynolds Transport Theorems

    The section covers the Reynolds Transport Theorems, focusing on understanding mass conservation in fluid dynamics using both integral and differential approaches.

    Learning Practice

  • 3.1.7

    Conservation Of Mass

    The section discusses the principles of mass conservation in fluid mechanics through differential analysis and the application of integral approaches.

    Learning Practice

  • 3.1.8

    Derivation Of Mass Conservation Equations

    This section introduces mass conservation equations and differentiates between integral and differential approaches to fluid flow analysis.

    Learning Practice

  • 3.1.9

    Divergence Theorem

    The Divergence Theorem relates volume integrals of vector fields to surface integrals, playing a critical role in fluid mechanics, especially for mass conservation.

    Learning Practice

  • 3.1.10

    Gauss Theorems

    This section delves into Gauss Theorems in fluid mechanics, exploring the concept of mass conservation through differential analysis of fluid flow.

    Learning Practice

  • 3.1.11

    Mass Conservation Equations Derived

    This section introduces the derivation of mass conservation equations using differential analysis in fluid flow.

    Learning Practice

References

ch24.pdf

Class Notes

Memorization

What we have learnt

  • Differential analysis provi...
  • Mass conservation is govern...
  • Four coupled partial differ...

Final Test

Revision Tests