Abstract
In our brief discussion of sound waves in Chap. 1 we assumed that the wave amplitude is sufficiently small that the resulting equations are linear. As a result, it was relatively easy to solve the equations which led to travelling waves whose distribution of density, pressure, velocity etc. moved with constant velocity c0 and the profile of the wave did not change with time. This, however, is not the case when the wave has appreciable amplitude and we will see, in due course, that the wave profile changes its shape as it propagates.
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Notes
- 1.
The approximation will improve if the spacing between the initial set of data points is reduced.
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Prunty, S. (2021). Waves of Finite Amplitude. In: Introduction to Simple Shock Waves in Air. Shock Wave and High Pressure Phenomena. Springer, Cham. https://doi.org/10.1007/978-3-030-63606-7_2
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