• International Journal of Technology (IJTech)
  • Vol 6, No 4 (2015)

Simulation of Flow and Temperature Development in a Thermoacoustic Resonator

Kim Fa Liew, Normah Mohd-Ghazali

Corresponding email: normah@fkm.utm.my

Published at : 27 Oct 2015
Volume : IJtech Vol 6, No 4 (2015)
DOI : https://doi.org/10.14716/ijtech.v6i4.1022

Cite this article as:

Liew, K.F., Mohd-Ghazali, N., 2015. Simulation of Flow and Temperature Development in a Thermoacoustic Resonator. International Journal of Technology. Volume 6(4), pp. 573-583

Kim Fa Liew Faculty of Mechanical Engineering, University of Technology Malaysia, Johor Bahru, 81310, Johor, Malaysia
Normah Mohd-Ghazali Faculty of Mechanical Engineering, University of Technology Malaysia, Johor Bahru, 81310, Johor, Malaysia
Email to Corresponding Author


The fluid flow pattern in a thermoacoustic resonator is an important characteristic that affects the performance of the thermoacoustic refrigerator. The main factor that affects the flow and subsequently the heat transfer processes between the oscillating fluid and the stack walls is the geometry of the stack unit, especially related to the stack thickness and stack separation. In this paper, a two-dimensional numerical simulation of the inviscid fluid flow around the stack unit in a quarter wavelength resonator is carried out by using the continuity, Navier-Stokes, energy and ideal gas equations. These equations are solved using the perturbation method and the finite difference method. Three cases of different stack plate thickness are investigated: negligible, 0.4 mm and 0.8 mm thicknesses, respectively. The stack separation has also been varied for the 0.4 mm thickness, within and beyond that recommended by previous studies. Results show that vortices and streaming are always present, more significantly with the thicker plates. Concentrated vortices in the thick plate case stay longer than those with the thinner plate. They contribute to the high heat transfer rate as shown by the temperature profiles.

Numerical simulation, Stack plate, Streaming, Thermoacoustic, Vortices


Abd El-Rahman, A.I., Abdel-Rahman, E., 2013. Computational Fluid Dynamics Simulation of a Thermoacoustic Refrigerator. Journal of Thermophysics and Heat Transfer, Volume 28(1), pp. 78-86

Blanc-Benon, P., Besnoin, E., Knio, O., 2003. Experimental and Computational Visualization of the Flow Field in a Thermoacoustic Stack. Comptes Rendus Mecanique, Volume 331(1), pp. 17-24

Cao, N., Olson, J.R., Swift, G.W., Chen, S., 1996. Energy Flux Density in a Thermoacoustic Couple. The Journal of the Acoustical Society of America, Volume 99(6), pp. 3456-3464

Galioulinna, E., Renterghem, T.V., Botteldooren, D., 2005. 3D Numerical Model of Secondary Streaming in an Acoustic-Resonance Tube Refrigerator. In: Proceedings of the Twelfth International Congress on Sound and Vibration (ICSV12), 11?14 July, 2011, Lisbon, Portugal

Ishikawa, H., Mee, D.J., 2002. Numerical Investigations of Flow and Energy Fields near a Thermoacoustic Couple. The Journal of the Acoustical Society of America, Volume 111(2), pp. 831-839

Ke, H.B., Liu, Y.W., He, Y.L., Wang, Y., Huang, J., 2010. Numerical Simulation and Parameter Optimization of Thermo-acoustic Refrigerator Driven at Large Amplitude. Cryogenics, Volume 50(1), pp. 28-35

Liew, K.F., 2015. Simulation of the Fluid Flow around the Stack Unit in a Thermoacoustic Resonator. B.Eng (Mechanical) Thesis. Universiti Teknologi Malaysia, Malaysia

Marx, D., Blanc-Benon, P., 2004. Numerical Simulation of Stack-heat Exchangers Coupling in a Thermoacoustic Refrigerator. AIAA Journal, Volume 42(7), pp. 1338-1347

Mohd. Ghazali, N., 2001. Numerical Simulation of Acoustic Waves in a Rectangular Chamber. University of New Hampshire, USA

Shi, L., Yu, Z.B., Jaworski, A.J., 2010. Vortex Shedding Flow Patterns and their Transitions in Oscillatory Flows Past Parallel-plate Thermoacoustic Stacks. Experimental Thermal and Fluid Science, Volume 34(7), pp. 954-965

Tijani, M.E.H., 2001. Loudspeaker-driven Thermo-acoustic Refrigeration: Technische Universiteit Eindhoven Eindhoven, Netherlands

Worlikar, A.S., Knio, O.M., 1996. Numerical Simulation of a Thermoacoustic Refrigerator: I. Unsteady Adiabatic Flow around the Stack. Journal of Computational Physics, Volume 127(2), pp. 424-451

Zhang, D.W., He, Y.L., Yang, W.W., Wang, Y., Tao, W.Q., 2013. Particle Image Velocimetry Measurement on the Oscillatory Flow at the End of the Thermoacoustic Parallel Stacks. Applied Thermal Engineering, Volume 51(1-2), pp. 325-333

Zoontjens, L., Howard, C.Q., Zander, A.C., Cazzolato, B.S., 2009. Numerical Study of Flow and Energy Fields in Thermoacoustic Couples of Non-zero Thickness. International Journal of Thermal Sciences,Volume 48(4), pp. 733-746