Fluid Mechanics Course

Essential Foundation: Critical prerequisite for plasma physics (MHD), astrophysics, and engineering

Dr. John Biddle: Fluid Mechanics

Complete undergraduate fluid mechanics course - 18 comprehensive lectures

About This Series

Dr. John Biddle presents a comprehensive undergraduate fluid mechanics course covering fundamental concepts through advanced applications. These lectures provide systematic coverage of fluid statics, kinematics, dynamics, and viscous flow with clear explanations and practical examples.

The series is ideal for engineering and physics students, providing the essential foundation needed for plasma physics (MHD), astrophysics, and engineering applications. Dr. Biddle's teaching emphasizes both physical intuition and mathematical rigor.

Course Highlights

  • • Systematic Coverage: From statics through Navier-Stokes equations
  • • Clear Explanations: Physical intuition alongside mathematical development
  • • Practical Examples: Real-world applications and problem-solving
  • • Foundation for Plasmas: Essential preparation for MHD and two-fluid theory
  • • Engineering Focus: Pipe flow, losses, practical fluid systems

Level

Undergraduate engineering/physics. Accessible to students with calculus and basic physics.

Duration

18 core lectures + 1 interview with Dr. Biddle

Prerequisites

Vector calculus, differential equations, classical mechanics

Course Structure

Part I: Fluid Statics (Lectures 1-7)

  • • Fundamental concepts & properties
  • • Pascal's law & pressure
  • • Forces on submerged surfaces
  • • Buoyancy & Archimedes' principle
  • • Bernoulli equation introduction

Part II: Fluid Kinematics (Lectures 8-10)

  • • Fluid motion description
  • • Reynolds Transport Theorem
  • • Conservation of mass (continuity)
  • • Bernoulli applications

Part III: Fluid Dynamics (Lectures 11-14)

  • • Linear momentum equation
  • • Energy equation
  • • Differential formulation
  • • Conservation laws

Part IV: Viscous Flow (Lectures 15-18)

  • • Navier-Stokes equations
  • • Laminar vs turbulent flow
  • • Pipe flow & Moody diagram
  • • Minor losses in piping systems

Complete Lecture Series

All 18 lectures from Dr. Biddle's fluid mechanics course, plus a bonus interview.

1

Fundamental Concepts & Fluid Properties

Introduction to fluid mechanics, definition of fluids, fluid properties (density, viscosity, surface tension), continuum hypothesis

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Video Lecture

Fundamental Concepts, Fluid Properties

Introduction to fluid mechanics and fundamental properties

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

2

Pascal's Law, Hydrostatic Pressure, Manometry

Pascal's law for pressure transmission, hydrostatic pressure variations with depth, manometers and pressure measurement

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Video Lecture

Pascal's Law, Hydrostatic Pressure Variations, Manometry

Pressure in static fluids and measurement techniques

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

3

Forces on Submerged Surfaces I

Calculating forces on plane submerged surfaces, pressure distribution, resultant force and center of pressure

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Video Lecture

Forces on Submerged Surfaces I

Force calculations on plane surfaces in fluids

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

4

Forces on Submerged Surfaces II

Curved surfaces, force components, gates and locks, applications to engineering structures

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Video Lecture

Forces on Submerged Surfaces II

Advanced force calculations on curved surfaces

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

5

Buoyancy & Bernoulli Equation

Archimedes' principle, buoyant forces, stability of floating bodies, introduction to Bernoulli equation

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Video Lecture

Buoyancy & the Bernoulli Equation

Buoyancy and introduction to Bernoulli's principle

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

6

Bernoulli Equation Examples

Applications of Bernoulli equation, flow through pipes and nozzles, pitot tubes, venturi meters

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Video Lecture

Bernoulli Equation Examples

Practical applications of Bernoulli's equation

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

7

Fluid Statics Examples

Comprehensive examples covering all fluid statics topics: pressure, forces, buoyancy, Bernoulli

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Video Lecture

Fluid Statics Examples

Problem-solving in fluid statics

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

8

Fluid Kinematics

Lagrangian vs Eulerian description, velocity and acceleration fields, streamlines, pathlines, streaklines

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Video Lecture

Fluid Kinematics

Description of fluid motion and flow visualization

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

9

Reynolds Transport Theorem, Conservation of Mass

Reynolds Transport Theorem for control volumes, continuity equation (mass conservation), kinematics examples

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Video Lecture

Reynolds Transport Theorem, Conservation of Mass, Kinematics Examples

Fundamental theorem and mass conservation

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

10

Continuity, Bernoulli & Kinematics Examples

Continuity equation applications, Bernoulli equation for streamlines, combined examples

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Video Lecture

Continuity Equation, Bernoulli Equation, & Kinematics Examples

Applied problem-solving in fluid kinematics

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

11

Linear Momentum Equation & Examples

Derivation of momentum equation from Reynolds Transport Theorem, forces on control volumes, Bernoulli examples

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Video Lecture

Linear Momentum Equation and Bernoulli Equation Examples

Momentum conservation and applications

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

12

Linear Momentum Equation Examples

Forces on bends, nozzles, and vanes; jet impingement; momentum applications to engineering problems

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Video Lecture

Linear Momentum Equation Examples

Practical momentum equation applications

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

13

Energy Equation & Kinematics Examples

Energy equation from first law of thermodynamics, head loss, pumps and turbines, combined examples

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Video Lecture

Energy Equation and Kinematics Examples

Energy conservation in fluid flows

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

14

Energy Examples & Differential Continuity

Energy equation applications, introduction to differential form of continuity equation

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Video Lecture

Energy Equation Examples, Differential Continuity Equation

Energy applications and differential formulation

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

15

Navier-Stokes Equations & Energy Examples

Derivation of Navier-Stokes equations, viscous stress tensor, conservation of energy examples

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Video Lecture

Navier-Stokes Equations, Conservation of Energy Examples

Viscous flow governing equations

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

16

Viscous Pipe Flow & Laminar Characteristics

Fully developed laminar pipe flow, Hagen-Poiseuille equation, velocity profiles, friction factor

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Video Lecture

Viscous Flow in Pipes, Laminar Pipe Flow Characteristics

Laminar flow analysis in pipes

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

17

Laminar & Turbulent Flow, Moody Diagram

Reynolds number, transition to turbulence, Moody diagram for friction factor, pipe roughness effects

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Video Lecture

Laminar & Turbulent Pipe Flow, The Moody Diagram

Flow regimes and friction in pipes

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

18

Minor Losses in Pipe Flow

Head loss in fittings, valves, bends, expansions/contractions; loss coefficients; piping system design

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Video Lecture

Minor Losses in Pipe Flow

Losses in pipe fittings and components

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

Bonus: Interview with Dr. John Biddle

Dr. Biddle discusses his approach to teaching fluid mechanics, insights on the subject, and advice for students

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Video Lecture

Interview with Dr. John Biddle

Insights on teaching and learning fluid mechanics

💡 Tip: Watch at 1.25x or 1.5x speed for efficient learning. Use YouTube's subtitle feature if available.

Study Guide

📝 How to Use These Lectures

  • Sequential viewing: Lectures build on each other - watch in order
  • Take notes: Write down key equations and physical principles
  • Work examples: Pause and try problems before seeing solutions
  • Practice problems: Use textbook problems to reinforce concepts
  • Review: Revisit earlier lectures as needed for later topics

🔑 Key Concepts to Master

Fluid Statics

  • - Pressure variation: p = p₀ + ρgh
  • - Force on surfaces: F = ∫ p dA
  • - Buoyancy: FB = ρgVdisplaced

Conservation Laws

  • - Continuity: ∇·(ρv) + ∂ρ/∂t = 0
  • - Momentum: ρDv/Dt = -∇p + μ∇²v
  • - Bernoulli: p + ½ρv² + ρgh = const

Pipe Flow

  • - Reynolds number: Re = ρvD/μ
  • - Friction factor from Moody diagram
  • - Head loss: hL = f(L/D)(v²/2g)

Navier-Stokes

  • - Viscous stress tensor
  • - Boundary conditions (no-slip)
  • - Laminar solution methods

After Completing This Course

With a solid foundation in fluid mechanics, you'll be prepared for:

→ Plasma Physics & MHD

Apply fluid mechanics to magnetohydrodynamics and two-fluid plasma theory

Advanced Fluid Dynamics

Compressible flow, boundary layers, turbulence, computational fluid dynamics

→ Statistical Mechanics

See Kardar lectures 7-11 for kinetic theory → Navier-Stokes derivation

Astrophysical Fluid Dynamics

Accretion disks, jets, stellar structure, cosmic flows