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Advanced Fluid Mechanics

Advanced Fluid Mechanics. Instructor: Prof. Suman Chakraborty, Department of Mechanical Engineering, IIT Kharagpur. This is an advanced course in Fluid Mechanics. The subject Fluid Mechanics has a wide scope and is of prime importance in several fields of engineering and science. Present course emphasizes the fundamental underlying fluid mechanical principles and application of those principles to solve real life problems. Special attention is given towards deriving all the governing equations starting from the fundamental principle. There is a well balanced coverage of physical concepts, mathematical operations along with examples and exercise problems of practical importance. After completion of the course, the students will have a strong fundamental understanding of the basic principles of Fluid Mechanics and will be able to apply the basic principles to analyze fluid mechanical systems. (from nptel.ac.in)

Lecture 11 - Application of RTT: Conservation of Linear Momentum

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Lecture 01 - Lagrangian and Eulerian Approach, Types of Fluid Flow

Lecture 02 - Definition of Streamline, Streakline and Pathline

Lecture 03 - Acceleration of Fluid Flow

Lecture 04 - Linear Deformation of a Fluid Element, Conservation of Mass of a Fluid Element

Lecture 05 - Angular Deformation of a Fluid Element, Streamfunction and Velocity Potential

Lecture 06 - Force Balance for a Fluid Element, Derivation of Euler's Equation

Lecture 07 - Bernoulli's Equation

Lecture 08 - Bernoulli's Equation (cont.)

Lecture 09 - Reynolds Transport Theorem (RTT)

Lecture 10 - Application of RTT: Conservation of Mass

Lecture 11 - Application of RTT: Conservation of Linear Momentum

Lecture 12 - Application of RTT in Accelerating Reference Frames

Lecture 13 - Navier's Equation of Motion

Lecture 14 - Derivation of Navier-Stokes Equation

Lecture 15 - Derivation of Navier-Stokes Equation (cont.)

Lecture 16 - Derivation of Navier-Stokes Equation (cont.)

Lecture 17 - Fully Developed Flow between Two Parallel Plates

Lecture 18 - Fully Developed Flow between Two Parallel Plates (cont.)

Lecture 19 - Couette Flow

Lecture 20 - Flow with Interfaces

Lecture 21 - Thin Film Flow on an Inclined Plane and Hagen-Poiseuille Flow

Lecture 22 - Hagen-Poiseuille Flow (cont.)

Lecture 23 - Flow between Two Rotating Cylinders

Lecture 24 - Stokes 1st Problem

Lecture 25 - Stokes 2nd Problem

Lecture 26 - Introduction to Turbulence: Basic Concepts

Lecture 27 - Eddies

Lecture 28 - Eddies (cont.), Vortex Shredding

Lecture 29 - Statistical Description of Turbulent Flow

Lecture 30 - Reynolds Stress

Lecture 31 - Reynolds Averaged Navier-Stokes Equation (RANS)

Lecture 32 - Prandtl's Mixing Length

Lecture 33 - Wall Effect in Turbulent Flow

Lecture 34 - Introduction to Boundary Layer: Scaling and Order of Magnitude Analysis

Lecture 35 - Scaling and Order of Magnitude Analysis (cont.)

Lecture 36 - Flow over a Fat Plate: Blasius Equation

Lecture 37 - Momentum Integral Method for Boundary Layer Analysis

Lecture 38 - Approximate Solution of the Momentum Integral Equation

Lecture 39 - Displacement and Momentum Thickness

Lecture 40 - Illustrative Examples

Lecture 41 - Boundary Layer Separation

Lecture 42 - Resultant Force on a Body Immersed in a Fluid under Motion

Lecture 43 - Potential Flow

Lecture 44 - Examples of Potential Flow

Lecture 45 - Some More Examples of Potential Flow, Lift and Drag Force

Lecture 46 - Applications of Lift and Drag Force

Lecture 47 - Some Examples of Flow past Immersed Bodies

Lecture 48 - Sports Ball Aerodynamics

Lecture 49 - Introduction to Compressible Flows

Lecture 50 - Significance of Mach Number

Lecture 51 - Navier-Stokes Equation

Lecture 52 - Isentropic Flow through Variable Area Ducts

Lecture 53 - Some Example Problems on Isentropic Flow

Lecture 54 - Normal Shock

Lecture 55 - Converging Nozzle

Lecture 56 - Converging-Diverging Nozzle

Lecture 57 - Illustrative Examples on a Converging-Diverging Nozzle

Lecture 58 - Adiabatic Flow with Friction in a Constant Area Duct

Lecture 59 - Review

Lecture 60 - Review (cont.)