Learning Objectives
Upon successful completion of this module, you will be able to:
1) Understand the concept of Reynold’s Transport Theorem and apply this theorem to derive the basic control-volume relations of fluid mechanics,
2) Apply the conservation of mass equation to balance the incoming and outgoing flow rates in a flow system and judge special cases,
3) Classify the flows according to uniform vs. non-uniform flow,
4) Distinguish the difference between incompressible and compressible fluid,
5) Define the linear momentum of an object,
6) Use Newton’s second law of motion to describe net force as the instantaneous rate of change of momentum,
7) Express the momentum of a particle in terms of its components (x-momentum, y-momentum, and z-momentum),
8) Classify the fundamental types of forces acting on a control volume,
9) Determine the weight of an object and a fluid,
10) Compute the pressure at a point and determine how pressure varies with depth,
11) Apply the concepts of viscosity and define the tangential force for Newtonian liquids,
12) Understand the free-body concept and draw the diagram to isolate the control volume from its surroundings for analysis.
Videos
Title: Discussion of the Reynold’s Transport Theorem
Summary: This video discusses Reynold’s Transport Theorem, including expanding on extensive and intensive properties, material derivative, the dot product of velocity, and the unit normal vector.
Learning Objectives: After watching this video, you will be able to understand the concept of the Reynold’s Transport Theorem and apply it to derive fundamental equations for control volume analysis.
Transcript: Read the transcript
Title: Conservation of Mass for a Control Volume
Summary: This video discusses the derivation of the conservation of mass (or continuity) equation for a control volume using Reynold’s Transport Theorem and introduces the concept of mass flow rate.
Learning Objectives: After watching this video, you will be able to apply Reynold’s Transport Theorem to derive the continuity equation for a control volume.
Transcript: Read the transcript
Title: Flow Characteristics; Uniform vs Non-uniform Flow, Incompressible vs Compressible
Summary: This video discusses special cases of conservation of mass (the continuity equation) applied to a control volume, including distinctions between steady and unsteady flow, constant and variable density, incompressible and compressible, and uniform versus non-uniform flow.
Learning Objectives: After watching this video, you will be able to identify flow characteristics and apply the appropriate simplified forms of the conservation of mass equation for control volume analysis.
Transcript: Read the transcript
Title: Flow Characteristics; Non-uniform Flow
Summary: This video presents an example involving a non-uniform velocity distribution and demonstrates the approach to convert the non-uniform velocity profile to the uniform (if possible) by separating the non-uniform inlet or exit into multiple sub-sections.
Learning Objectives: After watching this video, you will be able to apply the conservation of mass to pipe flow that includes non-uniform velocity profiles.
Transcript: Read the transcript
Title: Flow Characteristics; Compressible
Summary: This video presents an example applying the conservation of mass (continuity) equation to a control volume involving compressible air flow through a nozzle, where temperature and pressure vary as expected in real-life scenarios. It also evaluates the error introduced when assuming constant density.
Learning Objectives: After watching this video, you will be able to solve compressible flow problems using the conservation of mass and assess the impact of assuming constant versus variable density.
Transcript: Read the transcript
Title: Newton’s Second Law in Terms of Momentum, Linear Momentum, Force Classification, and Free Body Diagram (FBD)
Summary: This video discusses the definition of linear momentum and uses Newton’s Second Law to describe net force as the instantaneous rate of change of momentum. It explains how to classify forces acting on a control volume, including surface forces such as pressure and viscous forces, and body forces such as weight. It also introduces how to draw and interpret a free-body diagram.
Learning Objectives: After watching this video, you will be able to describe Newton’s Second Law in terms of linear momentum, identify different types of forces acting on a control volume, and construct a free-body diagram to analyze these forces.
Transcript: Read the transcript
Title: Viscosity Concept – Derivation and Discussion
Summary: This video discusses the concept of viscosity, explains how tangential (shear) force is defined for Newtonian fluids, and compares the behavior of Newtonian and non-Newtonian fluids through real-life examples.
Learning Objectives: After watching this video, you will be able to derive the viscosity expression and define tangential (shear) force for Newtonian fluids, and recognize different non-Newtonian fluid types.
Transcript: Read the transcript