Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

    We have a manual that explains all the features 

Record number 372563
Title Weakly nonlinear thermoacoustics for stacks with slowly varying pore cross-sections
Author(s) Panhuis, P.H.M.W. in 't; Rienstra, S.W.; Molenaar, J.; Slot, J.J.M.
Source Journal of Fluid Mechanics 618 (2009). - ISSN 0022-1120 - p. 41 - 70.
DOI https://doi.org/10.1017/S0022112008004291
Department(s) Biometris (WU MAT)
PE&RC
Publication type Refereed Article in a scientific journal
Publication year 2009
Keyword(s) driven acoustic-oscillations - porous-media - performance - equations - engine - tubes - flow
Abstract A general theory of thermoacoustics is derived for arbitrary stack pores. Previous theoretical treatments of porous media are extended by considering arbitrarily shaped pores with the only restriction that the pore cross-sections vary slowly in the longitudinal direction. No boundary-layer approximation is necessary. Furthermore, the model allows temperature variations in the pore wall. By means of a systematic approach based on dimensional analysis and small parameter asymptotics, we derive a set of ordinary differential equations for the mean temperature and the acoustic pressure and velocity, where the equation for the mean temperature follows as a consistency condition of the assumed asymptotic expansion. The problem of determining the transverse variation is reduced to finding a Green's function for a modified Helmholtz equation and solving two additional integral equations. Similarly the derivation of streaming is reduced to finding a single Green's function for the Poisson equation on the desired geometry
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