Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems
Cambridge Engine Technology Series

This book deals with advanced fluid flow methods for design and analysis of engineering systems. Panel methods employing surface distributions of source and vortex singularities based on the solution of boundary integral equations have been extensively used for modelling external and internal aerodynamic flows. Part 1 describes the surface vorticity method and illustrates applications of this technique over a wide range of engineering problems in aerodynamics and turbo-machines, including lifting aerofoils and cascades, mixed-flow and rotating cascades for fans, pumps or turbines, meridional flows in turbo-machines, flow past axisymmetric bodies, ducts and ducted propellers or fans. Part 2 extends surface vorticity modelling to the fairly new CFM field of vortex dynamics or vortex cloud theory, including foundation chapters on convection and viscous diffusion by the random walk technique. Vortex cloud methods are developed, again from first principles, to deal with shear layers, boundary layers, periodic wakes, bluff-body flows, cascades and aerofoils including the use of stall control spoilers. A number of useful computer programs are included.

Part I. The Surface Vorticity Boundary Integral Method of Fluid Flow Analysis: 1. The basis of surface singularity modelling; 2. Lifting bodies, two-dimensional aerofoils and cascades; 3. Mixed-flow and radial cascades; 4. Bodies of revolution, ducts and annuli; 5. Ducted propellers and fans; 6. Three-dimensional and meridional flows in turbo-machines; 7. Free vorticity shear layers and inverse methods; Part II. Vortex Dynamics and Vortex Cloud Analysis: 8. Vortex dynamics in inviscid flows; 9. Simulation of viscous diffusion in discrete vortex modelling; 10. Vortex cloud modelling by the boundary integral method; 11. Further development and applications of vortex cloud modelling to lifting bodies and cascades; 12. Use of grid systems in vortex dynamics and meridional flows; Appendix.