CEC Fluids: Conservation of Mass and Energy

Learning Objectives

After completing this module, you should be able to:

1. Understand flow types by differentiating between steady and unsteady flow, uniform and non-uniform flow.

2. Understand the concepts of density and specific volume, and their relationship with each other. 

3. Identify flow types by understanding the difference between compressible and incompressible flows, including conditions under which each type occurs. 

4. Explain how volume and density change with temperature.

5. Identify extensive properties and their corresponding intensive properties.

6. Comprehend the Reynolds Transport Theorem’s three main terms: rate of change in a system, rate of change in a control volume, and net flux across the control surface.  


Videos 

Title: M5V1 – Systems and Control Volume

Summary: This video lecture covers the concepts of systems and control volumes within the context of fluid mechanics. In this lecture, a system is defined as a quantity of matter with a specific boundary and are further categorized into closed systems and open systems. Control volumes are defined as regions in space where both mass and energy can flow in and out, as opposed to the rigid mass-only focus of systems. This lecture explains that analyzing fluid flow problems using control volumes focuses on the fluxes of mass, energy, or momentum through the boundary, called the control surface. 

Learning Objectives: After watching this video, you will be able to understand the differences between systems and control volumes, explain how mass and energy behave in these systems, and understand how mass and energy flow in and out of control volumes and the role of the control surface

Slides With Annotations: See the slides

 



Title: M5V2 – Reynolds Transport Theorem 

Summary:  This lecture video reviews the Reynolds Transport Theorem (RTT) and its application in fluid mechanics. It compares the Lagrangian approach which tracks a control mass over time, and the Eulerian approach which focuses on a fixed control volume where properties like mass, energy, or momentum flux in and out through the control surface. This video also explains the difference between extensive and intensive properties and how the velocity relative to the control surface impacts flux. 

Learning Objectives: After watching this video, you will be able to distinguish between the Lagrangian and Eulerian approaches to fluid mechanics, understand and explain the Reynolds Transport Theorem and its components, differentiate between extensive and intensive properties, apply RTT to analyze the rate of change of mass, energy, or momentum in a control volume, and interpret the flux of properties across a control surface. 

 

Slides With Annotations: See the slides




Title: M5V3 – Steady Flows, Fluid Compressibility 

Summary: This video explains the properties of fluid compressibility and the concepts of steady and unsteady flows. Compressible fluids change their density when pressure is applied, while incompressible fluids show minimal density change even under high pressure. In a steady flow, the fluid’s properties don’t change over time, while unsteady flow occurs when these properties change over time. 

Learning Objectives:  After watching this video, you will be able to differentiate between steady and unsteady flow, explain the concept of fluid compressibility and how fluids respond to applied pressure, distinguish between compressible and incompressible fluids based on their density changes under pressure, and relate the concepts of fluid compressibility and flow types to the analysis of mass, energy, and momentum fluxes using RTT.

 

Slides With Annotations:  See the slides