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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 44 - Examples of Potential Flow


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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.)