# ps6 - 2.23 Hydrofoils & Propellers Homework Assignment #6...

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2.23 Hydrofoils & Propellers Homework Assignment #6 Assigned: Friday April 6, 2007 Due: Friday Apr. 20, 2007 1) Write a 2D Vortex-Lattice Lifting Surface Code to compute the lift on a 2D flat plate as a function of angle of attack. This code should be written so it can be extended to arbitrary camber shapes in the future (see problem 2). Use evenly spaced vortices stating with the first vortex at the leading edge of the plate and last vortex ½ spacing from the trailing edge. Place the control points (where the boundary condition of no flow through the plate is computed) at the midpoint between the vortices with the last control point landing on the trailing edge. Write the code to setup up the linear system of equations to solve for the strengths of the vortices such that no flow goes through the blade at the control points. i.e.: { Γ } I [ ] = − Vn [ ] Where { Γ } is a vector of the vortex strengths, [I] is a square matrix of the influence of each vortex on each control point (normal component only). And [-

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## This note was uploaded on 02/27/2012 for the course MECHANICAL 2.23 taught by Professor Pauld.sclavounos during the Spring '07 term at MIT.

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ps6 - 2.23 Hydrofoils & Propellers Homework Assignment #6...

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