Learning Objectives
Upon successful completion of this module, you will be able to:
1) Define a property of a fluid called viscosity, which quantifies the ratio of shear stress to the rate of deformation (strain rate) of a fluid particle,
2) Express kinematic viscosity as the ratio of the absolute viscosity to the fluid density,
3) Understand the importance of viscosity in fluid mechanics, as it causes internal friction within the fluid and leads to energy loss,
4) Explain that inviscid fluids produce a uniform velocity distribution across the cross-section, as their viscous effects can be neglected,
5) Apply the Buckingham Pi theorem and develop a set of dimensionless groups, called Pi terms, for a given fluid flow phenomenon,
6) Express the Reynolds number in both forms (using kinematic viscosity and dynamic viscosity) and compute it for a given flow,
7) Understand the difference between linear and logarithmic scales,
8) Identify the graphs on logarithmic and semi-logarithmic axes,
9) Read values from a log scale,
10) Calculate distances on logarithmic scales,
11) Work with the energy equation expressed in terms of heads, and apply it to various engineering systems.
Videos
Title: Viscosity Concept – Derivation and Discussion
Summary: This video defines viscosity as a property that quantifies a fluid’s resistance to shearing, introduces the mathematical relationship between shear stress and strain rate for Newtonian fluids, expresses kinematic viscosity as the ratio of absolute viscosity to density, and explains that inviscid flow assumes zero viscosity, which allows simplification in fluid analysis.
Learning Objectives: After watching this video, you will be able to define viscosity as the ratio of shear stress to strain rate, understand the relationship between kinematic viscosity and absolute viscosity, and explain the assumption of inviscid flow where viscous effects are negligible.
Transcript: Read the transcript
Title: Buckingham Pi Theorem and Steps for Obtaining Pi Terms
Summary: This video introduces the Buckingham Pi theorem, which relates the number of physical parameters to non-dimensional Pi terms. It also lays out specific steps to be followed for obtaining the non-dimensional Pi terms.
Learning Objectives: After watching this video, you will be able to apply the Buckingham Pi Theorem to determine the number of independent dimensionless groups and follow a structured process to form Pi terms using dimensional analysis.
Transcript: Read the transcript
Title: Reynolds Number
Summary: This video discusses the Reynolds number, explaining its formulation, physical significance as the ratio of inertial to viscous forces, and its application in predicting flow regimes such as laminar, transition, and turbulent.
Learning Objectives: After watching this video, you will be able to define the Reynolds number, explain its physical meaning, and use it to determine flow regimes in fluid systems.
Transcript: Read the transcript
Title: Practice Problem – Reynolds Number
Summary: This video presents a practice problem that demonstrates how to calculate the Reynolds number for a given flow in a pipe.
Learning Objectives: After watching this video, you will be able to calculate the Reynolds number for a given flow in a pipe using appropriate flow conditions and fluid properties.
Transcript: Read the transcript
Title: Linear vs. Logarithmic Scale
Summary: This video discusses the characteristics of logarithmic scale graphs, including log-log and semi-log plots, and uses the Moody Diagram as an example.
Learning Objectives: After watching this video, you will be able to interpret and identify logarithmic scale graphs, including log-log and semi-log plots, explain the difference from linear scales, and understand why log scales are useful for representing large data ranges.
Transcript: Read the transcript
Title: Derivation and Discussion of Loss Equation
Summary: This video discusses the derivation and discussion of the loss equation for a control volume.
Learning Objectives: After watching this video, you will be able to apply the energy equation to analyze fluid flow and identify energy losses in engineering systems.
Transcript: Read the transcript
Title: Practice Problem – Head Loss Due to Flow
Summary: This video presents a practice problem on head loss due to flow in a pipe and demonstrates how to solve it using the extended Bernoulli equation.
Learning Objectives: After watching this video, you will be able to apply the extended Bernoulli equation to determine head loss in a pipe.
Transcript: Read the transcript