Fluid Mechanics: Dynamics, Pipe Flow & Analysis (Part 2)

Euler’s Equation, Bernoulli’s Principle, Head Loss, Major & Minor Losses, Dimensional Analysis

What you'll learn

Apply fluid dynamics principles such as Euler’s and Bernoulli’s equations to analyze fluid motion and energy conservation in systems.

Calculate major and minor head losses in pipe flow using Darcy-Weisbach, Chezy’s equations, and loss coefficients for fittings, bends, and obstructions

Analyze complex piping systems, including series, parallel, and equivalent pipe configurations, and interpret Total Energy and Hydraulic Gradient Lines.

Perform dimensional analysis using Rayleigh’s method and Buckingham π-theorem, and apply similitude and model laws to predict fluid behavior in scaled models.

Requirements

You will learn everything you need to know

Description

This course builds upon fundamental fluid mechanics to explore the dynamic behavior of fluids and the principles governing flow through pipes. It begins with an introduction to fluid dynamics, focusing on Euler’s and Bernoulli’s equations to analyze energy conservation and motion in fluid systems. Practical examples are included to solidify understanding of these core concepts.Students will then delve into the analysis of energy losses during fluid flow through pipes, a critical aspect of engineering system design. Major losses due to pipe friction are examined using the Darcy-Weisbach and Chezy equations, while minor losses caused by pipe fittings, bends, valves, sudden expansions or contractions, and obstructions are explored in depth. Real-world case studies and examples are used to demonstrate the impact of both major and minor losses on system performance.The course also introduces the concept of flow in series and parallel pipes, equivalent pipe systems, and the interpretation of Total Energy Lines (TEL) and Hydraulic Gradient Lines (HGL), helping students to visualize and evaluate flow behavior in complex networks.In the final module, students are introduced to dimensional analysis and model studies — essential tools for predicting fluid behavior without extensive experimentation. Key topics include dimensional homogeneity, significant dimensionless numbers (like Reynolds and Froude numbers), and the application of Rayleigh’s method and Buckingham’s π-theorem. Students will also learn about similitude and model laws, enabling the creation of scalable models for engineering applications.By the end of this course, students will be equipped with the analytical tools to solve complex fluid flow problems, optimize pipe system design, and apply modeling techniques to real-world fluid dynamics scenarios. The course emphasizes both theoretical foundations and hands-on problem-solving through practical examples.

Overview

Section 1: Concepts of Fluid Dynamics and Pipe Flow in detail

Lecture 1 Introduction: Fluid Dynamics

Lecture 2 Euler’s Equation of Motion

Lecture 3 Example 1: Based on Bernoulli's Equation

Lecture 4 Example 2: Based on Bernoulli's Equation

Lecture 5 Example 3: Based on Bernoulli's Equation

Lecture 6 Darcy-equation for head loss due to friction in pipes

Lecture 7 Chezy equation for frictional head loss in pipes

Lecture 8 Example: Based on Major Head Loss (Darcy and Chezy's Formula)

Section 2: Detail Analysis of Major and Minor losses during fluid flow through pipes

Lecture 9 Flow through pipes with losses (Major & Minor)

Lecture 0 Head loss due to sudden enlargement

Lecture 10 Head loss due to sudden contraction

Lecture 11 Head loss at inlet/entrance of pipe

Lecture 12 Head loss due to obstruction in pipe

Lecture 13 Example: Based on Head loss due to sudden obstruction

Lecture 14 Head loss due to bend in pipe

Lecture 15 Head loss due to different pipe fittings

Lecture 16 Example: Based on with and without Minor Losses

Lecture 17 Flow through pipes in series/compound pipes

Lecture 18 Flow through parallel pipes

Lecture 19 Example: Based on Flow through Parallel Pipes

Lecture 20 Equivalent pipe

Lecture 21 Example: Based on Equivalent Pipe

Lecture 22 Total Energy Line and Hydraulic Gradient Line

Lecture 23 Example: Based on Total Energy Line and Hydraulic Gradient Line

Section 3: Dimensional Analysis and Modeling: Theory, Methods, and Applications

Lecture 24 Dimensional Analysis

Lecture 25 Dimensional Homogeneity

Lecture 26 Different forces exist in moving fluid

Lecture 27 Dimensionless Numbers

Lecture 28 Methods for Dimensional Analysis

Lecture 29 Rayleigh's Method

Lecture 30 Example 1: Based on Rayleigh's Method

Lecture 31 Example 2: Based on Rayleigh's Method

Lecture 32 Buckingham's π -theorem

Lecture 33 Example: Based on Buckingham's π -theorem

Lecture 34 Model analysis

Lecture 35 Simlitude

Lecture 36 Model laws

Lecture 37 Example 1: Based on Model Laws or Similarity Laws

This course is ideal for undergraduate engineering students, diploma holders, and early-career professionals in engineering seeking practical knowledge in fluid flow, pipe systems, and dimensional analysis.