Sound propagating in a moving medium is governed by a so-called convected wave equation. Consider the case where the background flow velocity is uniform in the x-direction with velocity V .

a. Following the procedure in Sect. 2.1, derive the convected wave equation for sound in a one-dimensional environment with flow velocity V:

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Note that setting V = 0 gives the usual wave equation.

b. Show that this equation can also be derived from the standard wave equation by changing to a moving coordinate system Professional Australia Essay Writers | AustraliaEssayWriting.com

c. What is the form of this equation in three dimensions?