Syllabus
Unit 1
Concept of a Fluid: Continuum, Primary Properties, Compressibility of Fluids, Bulk Modulus, Isothermal & Isentropic Processes, Speed of Sound – Secondary Properties: Viscosity, Newton’s Law of Viscosity, Sutherland Equation, Andrade Equation, Surface Tension, Capillarity, Vapor Pressure, Boiling, Cavitation – Hydrostatics: Pascal’s Law, Hydrostatic Force on Planar and Non-planar Surfaces, Area Moment of Inertia, Archimedes’ Principle, Buoyancy, Stability of Floating Bodies.
Unit 2
Fluid Dynamics: Lagrangian & Eulerian Concepts, Reynolds Transport Theorem, Extensive Property, Intensive Property, Continuity Equation (Differential & Integral Forms) – Conservation of Momentum and Energy: Euler Equation of Motion, Stream Function, Velocity Potential, Bernoulli Equation (Inviscid Steady Flow & Potential Steady Flow)
Unit 3
Laminar flow solutions at steady state: Hagen-Poiseuille Flow, Plane Couette Flow, Plane Poiseuille Flow.
Boundary Layer Development: Boundary Layer Thickness, Displacement Thickness, Momentum Thickness – Momentum Equations: von Karman Momentum Integral Equation (zero pressure gradient), Skin-friction Drag on a Surface – Boundary Layer Equations: Prandtl Boundary Layer Equation and Blasius Solution.
Modelling and Similitude: Geometric, Dynamic and Kinematic Similarities, Use of Buckingham’s Pi Theorem to derive correlations.
Objectives and Outcomes
Course Objectives
The purpose of this subject is to impart basic concepts pertinent to Newtonian fluid flow physics. Thereby, students will acquire and be capable to utilize this fundamental understanding for the characterization of flow domains of relevance in aerospace. In other words, with a strong background in fluid mechanics, aerodynamic optimization of flying machines can be accomplished.
Course Outcomes
CO1: Enables to distinguish fluid from solid.
CO2: Understand the stability of floating bodies based on hydrostatic force concept.
CO3: Synthesize conservation principles for mass and momentum for the description of incompressible fluid flow dynamics.
CO4: Characterize the inherent features of steady laminar incompressible flows.
CO5: Understand the concept of boundary layer – its formation, control of separation and significance in Aerospace applications.
CO-PO Mapping
PO/PSO |
PO1 |
PO2 |
PO3 |
PO4 |
PO5 |
PO6 |
PO7 |
PO8 |
PO9 |
PO10 |
PO11 |
PO12 |
PSO1 |
PSO2 |
PSO3 |
CO |
CO1 |
1 |
– |
– |
– |
– |
– |
– |
– |
– |
– |
– |
1 |
– |
– |
– |
CO2 |
3 |
3 |
– |
3 |
– |
– |
– |
– |
– |
– |
– |
1 |
3 |
– |
– |
CO3 |
3 |
3 |
– |
3 |
– |
– |
– |
– |
– |
– |
– |
1 |
3 |
– |
– |
CO4 |
3 |
3 |
– |
3 |
– |
– |
– |
– |
– |
– |
– |
1 |
3 |
– |
– |
CO5 |
– |
3 |
– |
– |
– |
3 |
– |
– |
– |
– |
– |
1 |
– |
1 |
1 |
Text Books / References
Text Book(s)
Bruce R. Munson, Donald F. Young, Theodore H. Okiishi, “Fundamentals of Fluid Mechanics,” 4th edition, John Wiley, 2002.
Reference book(s)
Frank M. White, Henry Xue., “Fluid Mechanics”, 9th Edition, McGraw-Hill, 2022
Piyush K Kundu., Ira Cohen., David R Dowling“, Fluid Mechanics“., 6th Edition, Elsevier., 2016.
G.K. Batchelor., “An introduction to Fluid Mechanics”., 2nd Edition, Cambridge University press., 2000.
Videos and visualizations
VanDyke., “An Album of Fluid Motion”., Stanford, 1982.
Video lectures by Ascher Shapiro (National Committee for Fluid Mechanics Films)