Influence of a magnetic field on a single-plate thermoacoustic system

In this paper, an analytical model for a single-plate thermoacoustic system in the presence of a magnetic field is proposed. The magnetic field acts perpendicular to the direction of the fluid oscillation. The governing momentum and energy equations are simplified to quasi-one-dimensional forms by approximations. Also these equations are used to derive the expressions for the fluctuating velocity (u1), fluctuating temperature (T1), Nusselt number (Nuτ), and critical temperature gradient (∇Tcr) by a first order perturbation expansion. After the effects of Hartmann number (Haδ), drive ratio (DR), and temperature gradient (∇Tm) on the flow and thermal fields are discussed, they are graphically presented. Finally, for the present problem, a wave equation is modeled by using the continuity, momentum, and energy equations. In addition, some possible solutions to this equation are presented.