Abstract
Low Mach number flow theory is a singular asymptotic theory. A typical example is that considered in Sect. 4.7.2 relative to the degeneracy of the unsteady-state Steichen, hyperbolic equation (4.181a), in an elliptical Laplace equation (4.182). As a matter of fact, this degeneracy is a consequence of filtering acoustics waves that are present in (4.181a) but absent in (4.182). In this chapter, we derive, first, the incompressible Euler equations as an outer approximation (see Sect. 6.1) and then, in the case of the external aerodynamics, the linear acoustics equations — as associated inner equations valid near time zero (see the Sect. 6.2.1). In Sect. 6.2.2, we also give some brief information concerning the very interesting case of a slightly compressible inviscid fluid flow in a bounded deformable (in time) container (internal aerodynamics). Finally, in Sect. 6.2.3, the singular nature of the far field is investigated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Zeytounian, R.K. (2002). Low Mach Number Flow and Acoustics Equations. In: Theory and Applications of Nonviscous Fluid Flows. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56215-0_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-56215-0_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62551-0
Online ISBN: 978-3-642-56215-0
eBook Packages: Springer Book Archive