Unit 1

Importance of Aerodynamics – Classification and Practical Objectives – Aerodynamic Forces – Moments and their Non-dimensionalization – Airfoil Nomenclature – Airfoil Characteristics.

Unit 2

Complex Functions: Analytic Functions and Cauchy-Riemann Criteria, Conformal Mapping, Joukowski Transformation.

Unit 3

Concept of Circulation – Plane Potential Flow – Laplace Equation – Elementary Flows and its Superposition – Kutta Condition – Kutta-Joukowski Theorem – Kelvin’s Circulation Theorem – Starting Vortex.

Objectives

• This subject provides a fundamental understanding of aerodynamics by considering an infinite wing/airfoil. In doing so, the flow domain turns out 2-D and thereby the analysis will be simplified. It also facilitates to apply superposition of potential flows to simulate flow around geometries of practical relevance with a good degree of precision.

Course Outcomes

• CO1: Understand fundamentals and know the non-dimensionalization of aerodynamic forces and moments; familiar with airfoil nomenclature and airfoil characteristics.
• CO2: Understand conformal mapping and Jowkowski transformation of airfoil to a circular cylinder.
• CO3: Understand plane potential flow and apply to aerodynamic problems of academic and practical interest.

CO – PO Mapping

Textbook(s)

• John D Anderson, “Fundamentals of Aerodynamics,” 5^th edition, McGraw Hill, 2010.

Reference(s)

• E.L. Houghton and P.W. Carpenter, “Aerodynamics for Engineering Students,” 5^th edition, ButterworthHeinemann, 2003.
• Milne-Thomson, “Theoretical Aerodynamics,” Dover, 1974.
• Krishnamurthy Karamcheti, “Principles of Ideal-Fluid Aerodynamics,” 2^nd edition, Krieger Pub Co, 1980.

Evaluation Pattern