A Comparison of the Potential and the Euler Formulations of the Equations of

Kevin McGrattan

ISBN 10: 1332115098 / ISBN 13: 9781332115099

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book explores the transonic boundary value problem that is notably ill-posed in gas dynamics, by presenting a comparison between the potential and Euler formulations of the equations of motion for transonic flow. The book first delves into the governing equations that model fluid dynamics before discussing the boundary conditions that should be satisfied by their solutions. The book then discusses the numerical methods for solving these systems of equations and the challenges associated with implementing them. The theoretical development is complemented by computational results obtained from the BGK and FLO52 codes, along with a study of wave drag calculation and the entropy inequality. By assessing the strengths and limitations of potential and Euler models, this book offers insights into designing efficient supercritical airfoils and contributes to the understanding of shock wave behaviour in transonic flows. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781332115099_0

Bibliographic Details

• Title: A Comparison of the Potential and the Euler Formulations of the Equations of
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1332115098
• ISBN 13: 9781332115099
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Physics

About this title

Synopsis

Explore how different flow models handle transonic flight and wave drag.

This study compares nonconservative potential formulations with the Euler equations to show how each model handles transonic flow and shock effects. It examines practical implications for simulations and how to interpret results.

The content frames the models around transonic flow, shock waves, and boundary-layer interactions, using a common code framework to enable direct comparison. It highlights when the potential approach aligns with experiment and where the Euler formulation offers different insights, especially in shock handling and entropy considerations.

• How the BGK potential code and Euler equations are used to study airfoils at transonic speeds.
• How artificial viscosity and entropy play roles in predicting wave drag and shock behavior.
• Ways to compute wave drag, including both pressure-based and entropy-based methods.
• Practical takeaways for interpreting numerical results versus experimental data.

Ideal for readers who work with transonic aerodynamics, including engineers and students seeking a clear, side-by-side view of competing flow formulations.