8. Newton's Second Law
The chapter delves into Newton's second law in fluid mechanics, emphasizing the relationships between force, mass, and acceleration at both particle levels and in terms of fluid flows. It introduces concepts such as local and convective acceleration, and explains the application of Taylor series in fluid dynamics. Furthermore, it provides insights into how to compute material derivatives for fluid properties and the acceleration of fluid particles in various coordinate 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
Navigate through the learning materials and practice exercises.
What we have learnt
- Force is equal to mass multiplied by acceleration, applying to fluid particles.
- Acceleration can be described through both local and convective components.
- The use of Taylor series is critical when dealing with multiple variables in fluid dynamics.
Key Concepts
- -- Newton's Second Law
- The principle stating that an object's acceleration is proportional to the net force acting upon it and inversely proportional to its mass.
- -- Local Acceleration
- Acceleration that occurs due to the change of velocity at a fixed point in space over time.
- -- Convective Acceleration
- Acceleration associated with the movement of fluid particles through varying velocity fields.
- -- Material Derivative
- The derivative of a physical quantity during the motion of a particle, denoting changes with respect to time as the particle moves through different regions in space.
Additional Learning Materials
Supplementary resources to enhance your learning experience.