Title: An analytical solution and computer simulation for a multi-plate thermoacoustic system

Authors: Shohel Mahmud, Roydon Andrew Fraser

Addresses: Department of Mechanical Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada. ' Department of Mechanical Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada

Abstract: In this paper, an analytical model for a multi-plate thermoacoustic system is developed. The governing momentum and energy equations are simplified to quasi-one-dimensional forms using reasonable approximations. The expressions for the fluctuating velocity (u₁), fluctuating temperature (T₁), Nusselt number (Nu), fluid friction irreversibility (Ns_FF), heat transfer irreversibility (Ns_HT), energy flux density (Ė) and transverse velocity (v₁) are derived using a first order perturbation expansion of the governing momentum and energy equations. Finally, a wave equation is modelled for the present problem by using the continuity, momentum and energy equations.

Keywords: drive ratio; energy flux; entropy; multi-plate thermoacoustics; wave equation; simulation; fluctuating velocity; fluctuating temperature; Nusselt number; fluid friction irreversibility; heat transfer irreversibility; energy flux density; transverse velocity; momentum equations; energy equations; continuity equations; exergy.

DOI: 10.1504/IJEX.2005.006988

International Journal of Exergy, 2005 Vol.2 No.2, pp.207 - 230

Published online: 01 May 2005 *

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