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.

Who this course is for
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.

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