Fluid Mechanics: Fundamentals, Theory And Applications

Fluid Kinematics , Dynamics,Bernoulli's Principle,Flow Measurement,Dimensional Analysis, Major and minor head losses

What you'll learn

Understand and apply fundamental fluid mechanics principles ( like Pascal and Hydrostatic Law)

Analyze fluid flow using Bernoulli's principle, and fluid flow measurement devices like venturimeter, orifcemeter, and others

Characterize and predict flow regimes (such as laminar, turbulent)

Understand the losses i,e major and minor head losses during fluid flow

Analyze the dimensional analysis for fluid flow problems

Requirements

This course is structured to accommodate learners who have the basic knowledge in mathematics and physics. If you are new to fluid mechanics, still no issues as all concepts are covered in detail to help you build a strong foundation before delving into more advanced topics.

Description

This course provides a comprehensive introduction to the principles and applications of fluid mechanics, focusing on both theoretical foundations and practical implementations. Key topics include fluid kinematics, which explores the motion of fluids without considering the forces causing the motion, and fluid dynamics, which delves into the forces and energy influencing fluid flow. The course covers essential concepts such as Pascal's Law and the Hydrostatic Law, providing a strong understanding of pressure distribution in static fluids, along with their applications in hydraulic systems and fluid storage design. Practical aspects are covered through flow measurement techniques, introducing devices like venturimeters, orifice meters, and Pitot tubes, crucial for quantifying flow rates, velocities, and pressures in real-world systems. The course emphasizes the Bernoulli Principle, highlighting its applications in energy conservation, pressure-velocity relationships, and flow analysis. The course also explores major and minor head losses in pipelines, helping students understand frictional and localized losses in fluid transportation systems.Students will learn about dimensional analysis, a powerful tool for deriving dimensionless parameters and scaling fluid systems, ensuring applicability across various engineering scenarios.With a balance of theoretical understanding and hands-on problem-solving, this course equips students with the skills to analyze and design fluid systems in fields like engineering, environmental sciences, and energy. Ideal for beginners, it lays a solid foundation for advanced studies and practical applications of fluid mechanics.

Overview

Section 1: Fundamentals of Fluid Mechanics: Laws, Submerged Surfaces, Buoyancy, Metacentre

Lecture 1 Introduction: Fluid Mechanics

Lecture 2 Properties of fluid

Lecture 3 Pascal’s Law

Lecture 4 Example 1 : Based on Pascals Law

Lecture 5 Example 2 : Based on Pascals Law

Lecture 6 Hydrostatic Law and its application in different plane surfaces below liquid

Lecture 7 Example 1: Based on Hydrostatic Law

Lecture 8 Example 2 : Based on Hydrostatic Law

Lecture 9 Horizontal plane surface submerged in Liquid

Lecture 10 Vertical Plane Surface Submerged under Liquid

Lecture 11 Example 1: Based on Vertical Surface Submerged Under Liquid

Lecture 12 Example 2: Based on Vertical Surface Submerged Under Liquid

Lecture 13 Inclined Plane surface submerged in Liquid

Lecture 14 Example 1: Based on Inclined Surface Submerged Under Liquid

Lecture 15 Example 2: Based on Inclined Surface Submerged Under Liquid

Lecture 16 Curved Surface Submerged Under Liquid

Lecture 17 Example 1: Based on Curved Surface submerged under Liquid

Lecture 18 Example 2: Based on Curved Surface submerged under Liquid

Lecture 19 Buoyancy & Centre of buoyancy

Lecture 20 Example : Based on Centre of buoyancy

Lecture 21 Metacentre & Metacentric height

Lecture 22 Stability of floating bodies

Lecture 23 Example 1: Based on Metacentric Height

Lecture 24 Example 2: Based on Metacentric Height

Section 2: Fluid Flow Measurement: Principles, Devices, and Practical Examples

Lecture 25 Introduction: Flow measuring devices

Lecture 26 Flow measuring devices through pipes: Venturimeter

Lecture 27 Venturimeter: Mathematical expression for flow rate/ discharge calculation

Lecture 28 Example 1: Based on Venturimeter

Lecture 29 Example 2: Based on Venturimeter

Lecture 30 Flow measuring devices through pipes: Orifice meter

Lecture 31 Example: Based on Orifice meter

Lecture 32 Comparison between Venturimeter and Orificemeter

Lecture 33 Flow measuring devices through pipes: Pitot tube

Lecture 34 Pitot Tube: Mathematical expression for fluid velocity calculation

Lecture 35 Example: Based on Pitot Tube

Lecture 36 Flow measuring devices through a channel or tank

Lecture 37 Rectangular Notch/Weir

Lecture 38 Example 1: Based on Rectangular Weir

Lecture 39 Example 2: Based on Rectangular Notch

Lecture 40 Triangular Notch/Weir

Lecture 41 Example: Based on Triangular Weir

Lecture 42 Trapezoidal Notch/Weir

Lecture 43 Example: Based on Trapezoidal Notch/Weir

Lecture 44 Stepped Notch

Lecture 45 Example: Based on Stepped Notch

Section 3: Fluid Kinematics: Key Concepts, Equations and Flow Analysis

Lecture 46 Introduction: Fluid Kinematics

Lecture 47 Types of Fluid Flows

Lecture 48 Discharge and Continuity equation

Lecture 49 Three dimensional Continuity equation

Lecture 50 Example 1: Based on Continuity Equation

Lecture 51 Example 2: Based on Continuity Equation

Lecture 52 Example 3: Based on Continuity Equation

Lecture 53 Stream function & its properties

Lecture 54 Example 1 and 2 : Based on Stream Function

Lecture 55 Velocity potential function & its Properties

Lecture 56 Example: Based on Velocity Potential Function

Lecture 57 Relationship between velocity potential and stream function

Lecture 58 Velocity and Acceleration

Lecture 59 Example: Based on velocity and acceleration

Lecture 60 Equipotential line

Lecture 61 Flow net

Section 4: Fluid Dynamics and Pipe Flow: Concepts, Equations, and Losses

Lecture 62 Introduction: Fluid Dynamics

Lecture 63 Euler’s Equation of Motion

Lecture 64 Example 1: Based on Bernoulli's Equation

Lecture 65 Example 2: Based on Bernoulli's Equation

Lecture 66 Example 3: Based on Bernoulli's Equation

Lecture 67 Darcy-equation for head loss due to friction in pipes

Lecture 68 Chezy equation for frictional head loss in pipes

Lecture 69 Example: Based on Major Head Loss (Darcy and Chezy's Formula)

Lecture 70 Flow through pipes with losses (Major & Minor)

Lecture 71 Head loss due to sudden enlargement

Lecture 72 Head loss due to sudden contraction

Lecture 73 Head loss at inlet or entrance of pipe

Lecture 74 Head loss at outlet or exit of pipe

Lecture 75 Head loss due to obstruction in pipe

Lecture 76 Example: Based on Head loss due to sudden obstruction

Lecture 77 Head loss due to bend in pipe

Lecture 78 Head loss due to different pipe fittings

Lecture 79 Example : Based on with and without Minor Losses

Lecture 80 Flow through pipes in series /compound pipes

Lecture 81 Flow through parallel pipes

Lecture 82 Example : Based on Flow through Parallel Pipes

Lecture 83 Equivalent pipe

Lecture 84 Example: Based on Equivalent Pipe

Lecture 85 Total Energy Line and Hydraulic Gradient Line

Lecture 86 Example: Based on Total Energy Line and Hydraulic Gradient Line

Section 5: Dimensional Analysis and Modeling: Theory, Methods, and Applications

Lecture 87 Dimensional Analysis

Lecture 88 Dimensional Homogeneity

Lecture 89 Different forces exist in moving fluid

Lecture 90 Dimensionless Numbers

Lecture 91 Methods for dimensional analysis

Lecture 92 Rayleigh's Method

Lecture 93 Example 1: Based on Rayleigh's Method

Lecture 94 Example 2: Based on Rayleigh's Method

Lecture 95 Buckingham's π -theorem

Lecture 96 Example: Buckingham's π -theorem

Lecture 97 Model analysis

Lecture 98 Simlitude

Lecture 99 Model laws

Lecture 100 Example 1 : Based on Model Laws or Similarity Laws

Lecture 101 Example 2 : Based on Model Laws or Similarity Laws

This course is valuable for anyone looking to apply fluid mechanics principles to solve real-world engineering problems and optimize fluid-based systems