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Varying area duct sustaining stream-wise mean temperature gradient and subsonic mean flow. p ± represent the downstream and upstream propagating acoustic wave amplitudes. Subscript 'u, d' denotes the upstream and downstream ends of the duct.
Source publication
In ducts with varying cross-sectional area and sustaining a subsonic non-isentropic mean flow, the axially varying flow conditions affect the acoustic energy balance of the system. This is significant in understanding and controlling thermo-acoustic phenomena, particularly in combustors. This work aims at quantifying the acoustic energy change in s...
Contexts in source publication
Context 1
... mean flow in varying area ducts, an example of which is shown in Fig. 1, can be considered to be quasi one-dimensional, if the variations in the radial direction associated with boundary layer growth are negligible. The conservation equations for mass, momentum, and energy, in such quasi 1-D perfect inviscid flow are as ...
Context 2
... integration, a relation between the wave components at the upstream (x * u ) and downstream (x * d ) ends of the duct (shown in Fig. (1)), is obtained and expressed in terms of a transfer matrix T, as ...
Context 3
... analysis described in Section 3 is applicable to ducts with any area and mean temperature profiles, provided that Φ ± NI He 2 1. In this section, a conical duct geometry with a linear stream-wise mean temperature gradient, shown in Fig. 1, is considered. The radius of the duct is denoted by r, from which it follows ...
