Module 4: Fluid Statics -- Forces on Submerged Surfaces:

In this module, we study the kinematics of the motion (velocity and acceleration) and the description and visualization of its motion. Importantly, this module introduces the Reynold's Transport Theorem, which is the basis of modules 5, 6, and 7.

Student Learning Outcomes: After completing this module, you should be able to:

* Discuss the differences between the Eulerian and Langrangian descriptions of fluid motion

* Identify various flow characteristics based on the velocity field

* Determine the streamline pattern and acceleration field, given a velocity field

* Discuss the differences between a system and a control volume

* Apply the Reynold's Transport Theorem and the material derivative

Lecture Videos:

Link to Module 4 Playlist    Link to Lecture Notes Module 4

Links to Individual Module 4 Videos:

Lecture 1 - Fluid Kinematics, Lagrangian and Eulerian Descriptions: In this segment, we introduce the fluid kinematics fundamentals and definitions and discuss Lagrangian (Material) and Eulerian (Spatial) reference frames or descriptions.

Lecture 2 - 1-D, 2-D, 3-D Flows, Steady and Unsteady Flows: In this segment, we classify the flows according to 1-D, 2-D, or 3-D, as well as steady and unsteady flows

Lecture 3 - Streamline, Streakline, and Pathline: In this segment, we cover streamline (including deriving streamline equation), streakline, and pathline. We also go over how to obtain them experimentally.

Lecture 4 -  Streamline, Streakline, and Pathline for Unsteady Flow Example: This segment discusses the differences between Streamline, Streakline, and Pathline for both steady and unsteady flow.

Lecture 5 - Acceleration and Material Derivative: In this segment, we derive the velocity and acceleration of vector components in the cartesian coordinates. We also discuss these components in the cylindrical polar coordinates, as well as spherical coordinates. We also discuss the material derivative in the Lagrangian reference frame or description and introduce the gradient operator

Lecture 6 - Control Mass, Control Volume, and Control Surface: This segment reviews the system, control mass, control volume, and control surface definitions. These definitions will be very important in modules 5, 6, and 7

Lecture 7 - Derivation of Reynolds Transport Theorem: In this segment, we go in-depth derivation of Reynold's transport theorem, including discussion extensive and intensive properties

Lecture 8 - Discussion of Reynolds Transport Theorem: In this segment, we discuss the Reynold's Transport Theorem, including expanding on extensive and intensive properties, material derivative, the dot product of velocity, and unit normal vector

Lecture 9 - Module 4 Recap

                Congratulations, you just finished module 4! Please proceed to module 5.