Theory of Vortex Sound develops the mathematical description of sound generated by fluid motion, particularly low Mach number flows. M. S. Howe combines theoretical acoustics, vortex dynamics, and compact Green's function methods with worked examples and project-style problems for advanced students and researchers in applied mathematics, fluid dynamics, and aeroacoustics.
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An opening review of elementary theoretical acoustics provides the basis for investigating how hydrodynamic flows radiate sound. The treatment develops connections among the wave equation, acoustic energy, vorticity, and sound generation, with particular emphasis on flows at low Mach numbers.
The compact Green's function provides a recurring analytical tool, including in the study of noise associated with vortex-surface interactions. A dedicated chapter of worked examples shows how the mathematical framework is used, while chapter problems offer material for extended student projects. The book is intended for readers comfortable with advanced mathematical analysis who want a structured treatment of aeroacoustic mechanisms and the physical interpretation of their calculations.
Howe develops the mathematics of sound produced by fluid motion, concentrating on low Mach number flows. Theoretical acoustics, vortex dynamics and compact Green's function methods are combined with worked examples and project problems, addressing readers in applied mathematics, fluid dynamics and aeroacoustics who are comfortable with advanced analysis.
An opening review of elementary acoustics establishes the wave equation and the idea of acoustic energy. The treatment then asks how hydrodynamic flow radiates sound, giving vorticity a central role and restricting attention to low Mach numbers where the analysis simplifies. The compact Green's function becomes the recurring instrument, applied in particular to noise from vortex-surface interactions. A chapter of worked examples demonstrates the framework in use, and end-of-chapter problems are designed to support extended student projects. The book assumes mathematical maturity and aims at physical interpretation alongside calculation, so readers learn what the terms in the equations mean for aeroacoustic mechanisms.
The book opens with a review of basic theoretical acoustics so that later developments rest on shared ground. The wave equation and the description of sound fields are established before flow is introduced. This preliminary material lets the aeroacoustic argument proceed without gaps.
Acoustic energy and its transport are treated as quantities with physical meaning. The discussion connects the mathematics of the wave equation to what is being carried away from a source. Understanding energy flow is presented as essential to interpreting sound generation.
Vorticity becomes the mechanism through which flow produces sound. The treatment shows how rotational motion in a fluid couples to acoustic radiation, and why that coupling is the heart of vortex sound theory. The emphasis stays on the physical picture behind the equations.
Restricting attention to low Mach numbers simplifies the analysis and defines the book's domain. In this regime the flow is slow relative to the speed of sound, which permits approximations that would not hold generally. The assumption is stated clearly and carried through the work.
The compact Green's function is the recurring analytical tool. It allows a complicated source region to be treated in a manageable way when the source is small compared with the acoustic wavelength. Howe develops the method and applies it to concrete problems, showing how it earns its place.
Vortex-surface interaction noise becomes a major application, where the framework shows its usefulness on a physically important case. A chapter of worked examples demonstrates the calculations, and end-of-chapter problems are built for extended student projects. Practice and theory meet in these final materials.
Advanced students and researchers in applied mathematics, fluid dynamics and aeroacoustics who are comfortable with mathematical analysis.
Edition, audience, and study-guide details at a glance.
Theory of Vortex Sound develops the mathematical description of sound generated by fluid motion, particularly low Mach number flows. M. S. Howe combines theoretical acoustics, vortex dynamics, and compact Green's function methods with worked examples and project-style problems for advanced students and researchers in applied mathematics, fluid dynamics, and aeroacoustics.
Advanced students and researchers in applied mathematics, fluid dynamics and aeroacoustics who are comfortable with mathematical analysis.
Yes. This page includes an original study guide with six thematic sections, key takeaways, and a topic map for structured reading.