Learning Objectives
Upon successful completion of this module, you will be able to:
1) Explain the basic concepts of thermodynamics such as system, surroundings, and boundary,
2) Understand the concept of mass and energy exchange between the system and surroundings,
3) Distinguish the difference between control mass and control volume,
4) Define the mass and volume flow rates, and understand the relationship between them,
5) Discuss Lagrangian (Material) and Eulerian (Spatial) reference frames or descriptions,
6) Understand the role of the material derivative in transforming between Lagrangian and Eulerian descriptions,
7) Define field variables, functions of space and time, within the control volume,
8) Apply the material derivative to the velocity field, as well as to other fluid properties,
9) Classify the flows according to 1-D, 2-D, or 3-D, as well as steady and unsteady flows,
10) Compute the derivative of a composite function using the chain rule,
11) Understand the definition of gradient operator and apply it to a differentiable function,
12) Define the dot product of two vectors and use the alternative form of the dot product, which involves the lengths of the vectors and the angle between them.
Videos
Title: System, Surroundings, and Boundary; Control Volume, Control Mass
Summary: This video introduces the concepts of system, surroundings, and boundary, and explains the differences between open systems (control volume), closed systems (control mass), and isolated systems, with real-life examples.
Learning Objectives: After watching this video, you will be able to explain the system, surroundings, and boundary; understand the concept of mass and energy exchange between the system and surroundings; and distinguish between control mass and control volume.
Transcript: Read the transcript
Title: Volumetric Flow Rate
Summary: This video discusses the volumetric flow rate, its units, and how it is calculated for both uniform and non-uniform flow.
Learning Objectives: After watching this video, you will be able to define volumetric flow rate, identify its units in SI and British gravitational systems, and distinguish between calculations for uniform and non-uniform flow.
Transcript: Read the transcript
Title: Mass Flow Rate
Summary: This video discusses mass flow rate, its units, how it is calculated for uniform and non-uniform flow, and how it relates to volumetric flow rate.
Learning Objectives: After watching this video, you will be able to define mass flow rate, relate it to volumetric flow rate, identify its units in SI and British gravitational systems, and distinguish between calculations for uniform and non-uniform flow.
Transcript: Read the transcript
Title: Lagrangian and Eulerian Descriptions
Summary: This video discusses the differences between the Lagrangian (Material) and Eulerian (Spatial) reference frames or descriptions.
Learning Objectives: After watching this video, you will be able to distinguish between Lagrangian and Eulerian reference frames and understand how each is used to analyze fluid motion.
Transcript: Read the transcript
Title: Material derivative (acceleration)
Summary: This video discusses the velocity and acceleration vector components in Cartesian coordinates and explains the material derivative in the Lagrangian description.
Learning Objectives: After watching this video, you will be able to define and apply the material derivative to express acceleration in fluid flow.
Transcript: Read the transcript
Title: Stagnation Point
Summary: This video discusses the concept of a stagnation point and how to calculate it.
Learning Objectives: After watching this video, you will be able to define the stagnation point in a flow field and identify its velocity and pressure characteristics.
Transcript: Read the transcript
Title: Flow Characteristics: 1-D, 2-D, 3-D Flows, Steady and Unsteady Flows
Summary: This video explains how to classify flow as 1-D, 2-D, or 3-D and introduces steady and unsteady flows.
Learning Objectives: After watching this video, you will be able to classify fluid flows as one-, two-, or three-dimensional and as steady or unsteady by analyzing how velocity varies with space and time.
Transcript: Read the transcript
Title: Chain Rule of Differentiation
Summary: This video explains how to find the derivative of a function using the chain rule, especially when its variables also depend on time.
Learning Objectives: After watching this video, you will be able to compute the derivative of a composite function using the chain rule.
Transcript: Read the transcript
Title: Gradient of a Function
Summary: This video discusses the gradient or del operator and how to obtain the gradient of a function.
Learning Objectives: After watching this video, you will be able to define the gradient operator and compute the gradient of a scalar function to express it as a vector field.
Transcript: Read the transcript
Title: Gradient of a Vector
Summary: This video discusses the gradient or del operator and how to compute the gradient of a vector.
Learning Objectives: After watching this video, you will be able to apply the gradient operator to a vector field and recognize that the result is a scalar expression.
Transcript: Read the transcript
Title: Dot Product of Two Vectors
Summary: This video discusses the dot (or scalar) product of two vectors.
Learning Objectives: After watching this video, you will be able to compute the dot product of two vectors using both component-wise multiplication and the angle-based approach involving magnitudes and cosine.
Transcript: Read the transcript