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The effect of a constant magnetic field on the stability of a compressible, electrically conducting fluid contained in a duct with an axial temperature gradient is studied. A plausible physical model of the phenomenon is presented and its linear stability is analyzed. The study includes the consideration of a general state equation for the working fluid and the variation of its physical properties with temperature. An expression for the critical thermal gradient required to generate thermoacoustic standing waves is found as a function of the external magnetic field. The potential application of this work is in the context of thermoacoustic prime movers with magnetohydrodynamic transducers.

Effect of a magnetic field on the linear stability of a thermoacoustic oscillation