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September 23, 2023

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Description

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)

Course Curriculum

  • Lecture 01 – Lagrangian and Eulerian Approach, Types of Fluid Flow Unlimited
  • Lecture 02 – Definition of Streamline, Streakline and Pathline Unlimited
  • Lecture 03 – Acceleration of Fluid Flow Unlimited
  • Lecture 04 – Linear Deformation of a Fluid Element, Conservation of Mass of a Fluid Element Unlimited
  • Lecture 05 – Angular Deformation of a Fluid Element, Streamfunction and Velocity Potential Unlimited
  • Lecture 06 – Force Balance for a Fluid Element, Derivation of Euler’s Equation Unlimited
  • Lecture 07 – Bernoulli’s Equation Unlimited
  • Lecture 08 – Bernoulli’s Equation (cont.) Unlimited
  • Lecture 09 – Reynolds Transport Theorem (RTT) Unlimited
  • Lecture 10 – Application of RTT: Conservation of Mass Unlimited
  • Lecture 11 – Application of RTT: Conservation of Linear Momentum Unlimited
  • Lecture 12 – Application of RTT in Accelerating Reference Frames Unlimited
  • Lecture 13 – Navier’s Equation of Motion Unlimited
  • Lecture 14 – Derivation of Navier-Stokes Equation Unlimited
  • Lecture 15 – Derivation of Navier-Stokes Equation (cont.) Unlimited
  • Lecture 16 – Derivation of Navier-Stokes Equation (cont.) Unlimited
  • Lecture 17 – Fully Developed Flow between Two Parallel Plates Unlimited
  • Lecture 18 – Fully Developed Flow between Two Parallel Plates (cont.) Unlimited
  • Lecture 19 – Couette Flow Unlimited
  • Lecture 20 – Flow with Interfaces Unlimited
  • Lecture 21 – Thin Film Flow on an Inclined Plane and Hagen-Poiseuille Flow Unlimited
  • Lecture 22 – Hagen-Poiseuille Flow (cont.) Unlimited
  • Lecture 23 – Flow between Two Rotating Cylinders Unlimited
  • Lecture 24 – Stokes 1st Problem Unlimited
  • Lecture 25 – Stokes 2nd Problem Unlimited
  • Lecture 26 – Introduction to Turbulence: Basic Concepts Unlimited
  • Lecture 27 – Eddies Unlimited
  • Lecture 28 – Eddies (cont.), Vortex Shredding Unlimited
  • Lecture 29 – Statistical Description of Turbulent Flow Unlimited
  • Lecture 30 – Reynolds Stress Unlimited
  • Lecture 31 – Reynolds Averaged Navier-Stokes Equation (RANS) Unlimited
  • Lecture 32 – Prandtl’s Mixing Length Unlimited
  • Lecture 33 – Wall Effect in Turbulent Flow Unlimited
  • Lecture 34 – Introduction to Boundary Layer: Scaling and Order of Magnitude Analysis Unlimited
  • Lecture 35 – Scaling and Order of Magnitude Analysis (cont.) Unlimited
  • Lecture 36 – Flow over a Fat Plate: Blasius Equation Unlimited
  • Lecture 37 – Momentum Integral Method for Boundary Layer Analysis Unlimited
  • Lecture 38 – Approximate Solution of the Momentum Integral Equation Unlimited
  • Lecture 39 – Displacement and Momentum Thickness Unlimited
  • Lecture 40 – Illustrative Examples Unlimited
  • Lecture 41 – Boundary Layer Separation Unlimited
  • Lecture 42 – Resultant Force on a Body Immersed in a Fluid under Motion Unlimited
  • Lecture 43 – Potential Flow Unlimited
  • Lecture 44 – Examples of Potential Flow Unlimited
  • Lecture 45 – Some More Examples of Potential Flow, Lift and Drag Force Unlimited
  • Lecture 46 – Applications of Lift and Drag Force Unlimited
  • Lecture 47 – Some Examples of Flow past Immersed Bodies Unlimited
  • Lecture 48 – Sports Ball Aerodynamics Unlimited
  • Lecture 49 – Introduction to Compressible Flows Unlimited
  • Lecture 50 – Significance of Mach Number Unlimited
  • Lecture 51 – Navier-Stokes Equation Unlimited
  • Lecture 52 – Isentropic Flow through Variable Area Ducts Unlimited
  • Lecture 53 – Some Example Problems on Isentropic Flow Unlimited
  • Lecture 54 – Normal Shock Unlimited
  • Lecture 55 – Converging Nozzle Unlimited
  • Lecture 56 – Converging-Diverging Nozzle Unlimited
  • Lecture 57 – Illustrative Examples on a Converging-Diverging Nozzle Unlimited
  • Lecture 58 – Adiabatic Flow with Friction in a Constant Area Duct Unlimited
  • Lecture 59 – Review Unlimited
  • Lecture 60 – Review (cont.) Unlimited

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