Mathematical Modeling of Unsteady Inviscid Flows

  • Jeff D.¬†Eldredge

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 50)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Jeff D. Eldredge
    Pages 1-5
  3. Jeff D. Eldredge
    Pages 7-23
  4. Jeff D. Eldredge
    Pages 25-90
  5. Jeff D. Eldredge
    Pages 161-182
  6. Jeff D. Eldredge
    Pages 183-244
  7. Jeff D. Eldredge
    Pages 245-267
  8. Jeff D. Eldredge
    Pages 269-339
  9. Jeff D. Eldredge
    Pages 341-367
  10. Jeff D. Eldredge
    Pages 369-387
  11. Back Matter
    Pages 389-461

About this book


This book builds inviscid flow analysis from an undergraduate-level treatment of potential flow to the level required for research. The tools covered in this book allow the reader to develop physics-based mathematical models for a variety of flows, including attached and separated flows past wings, fins, and blades of various shapes undergoing arbitrary motions. The book covers all of the ingredients of these models: the solution of potential flows about arbitrary body shapes in two- and three-dimensional contexts, with a particular focus on conformal mapping in the plane; the decomposition of the flow into contributions from ambient vorticity and body motion; generalized edge conditions, of which the Kutta condition is a special case; and the calculation of force and moment, with extensive treatments of added mass and the influence of fluid vorticity. The book also contains an extensive primer with all of the necessary mathematical tools. The concepts are demonstrated on several example problems, both classical and modern.


Incompressible Flows Inviscid Flows Mathematical Modeling Vortex Structures Aerodynamics Potential Flow

Authors and affiliations

  • Jeff D.¬†Eldredge
    • 1
  1. 1.Mechanical and Aerospace EngineeringUniversity of California, Los AngelesLos AngelesUSA

Bibliographic information