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Low-Speed Aerodynamics: from wing theory to panel methods

, and . McGraw-Hill series in aeronautical and aerospace engineering McGraw-Hill, New York, 1st edition, (1991)

Abstract

Description of Fluid Motion -- Choice of Coordinate System -- Pathlines, Streak Lines, and Streamlines -- Forces in a Fluid -- Integral Form of the Fluid Dynamic Equations -- Differential Form of the Fluid Dynamic Equations -- Dimensional Analysis of the Fluid Dynamic Equations -- Flow with High Reynolds Number -- Similarity of Flows -- Fundamentals of Inviscid, Incompressible Flow -- Angular Velocity, Vorticity, and Circulation -- Rate of Change of Vorticity -- Rate of Change of Circulation: Kelvin's Theorem -- Irrotational Flow and the Velocity Potential -- Boundary and Infinity Conditions -- Bernoulli's Equation for the Pressure -- Simply and Multiply Connected Regions -- Uniqueness of the Solution -- Vortex Quantities -- Two-Dimensional Vortex -- The Biot-Savart Law -- The Velocity Induced by a Straight Vortex Segment -- The Stream Function -- General Solution of the Incompressible, Potential Flow Equations -- Statement of the Potential Flow Problem -- The General Solution, Based on Green's Identity -- Summary: Methodology of Solution -- Basic Solution: Point Source -- Basic Solution: Point Doublet -- Basic Solution: Polynomials -- Two-Dimensional Version of the Basic Solutions -- Basic Solution: Vortex -- Principle of Superposition -- Superposition of Sources and Free Stream: Rankine's Oval -- Superposition of Doublet and Free Stream: Flow around a Cylinder -- Superposition of a Three-Dimensional Doublet and Free Stream: Flow around a Sphere -- Some Remarks about the Flow over the Cylinder and the Sphere.

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