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Mathematical Modeling of Unsteady Inviscid Flows
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Catalogue Information
Field name
Details
Dewey Class
519
Title
Mathematical Modeling of Unsteady Inviscid Flows ([EBook]) / by Jeff D. Eldredge.
Author
Eldredge, Jeff D.
Other name(s)
SpringerLink (Online service)
Publication
Cham : Springer International Publishing , 2019.
Physical Details
XX, 461 pages, 98 illus. in color. : online resource.
Series
Interdisciplinary Applied Mathematics
; 50
ISBN
9783030183196
Summary Note
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.:
Contents note
Reference Frames, Body Motion and Notation -- Foundational Concepts -- General Results of Incompressible Flow about a Body -- Force and Moment on a Body -- Transport of Vortex Elements -- Flow about a Two-Dimensional Flat Plate -- Flow About Three-Dimensional Bodies -- Multiple Bodies -- A. Mathematical Tools.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-18319-6
Links to Related Works
Subject References:
Engineering Fluid Dynamics
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Fluid- and Aerodynamics
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Fluid mechanics
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Fluids
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Mathematical Applications in the Physical Sciences
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Mathematical Modeling and Industrial Mathematics
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Mathematical models
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Mathematical Physics
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Authors:
author
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Eldredge, Jeff D.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Interdisciplinary Applied Mathematics
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Classification:
519
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519 (DDC 23)
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