Kinematics is a fundamental area of dynamics where you are studying the geometric motion of a particle or rigid body. A fluid is not rigid nor is it a single particle. As result fluid kinematics was born.
Particle dynamics has a large influence on fluid kinematics. However, unlike particle dynamics fluid dynamics deals with multiple particle that interact with each other and behave in a similar manner. As a result additional principle need to be used. You will learn more about these additional principles in the article in this section.
The following gives a brief overview of what you will find in this section. First, you will learn about what the velocity field, and acceleration field are. You will also learn what the difference is between Eulerain and Lagrangian flow. As well as how the Eulerain and Lagrangian can be used determine velocity fields, acceleration fields, temperature fields, etc. Finally I will discuss, how streamlines, streaklines, and pathlines related to each other but at the same time are different. Plus, I will also show you what the material derivative is and how to derive it.
In addition to the above, I will discuss what a control volume is, and how a control volume can be used to help solve a complex fluid mechanics problem. Finally, to conclude this section I will discuss the Reynolds Transport Theorem. I will show how the Reynolds Transport Theorem is derived. As well as what its physical interpretation is and how it relates to the material derivative.