Pulsating Magnetohydrodynamic Flow Superposed on the Steady Laminar Motion of an Incompressible Viscous Fluid in an Annular Channel

抄録

Pulsating laminar flow superposed on the steady motion of a viscous incompressible electrically conducting fluid in an annular channel between two infinitely long circular cylinders under a radially impressed magnetic field is considered. The general magnetohydrodynamic equations are simplified to three equations in pressure, velocity and magnetic field. One equation gives the pressure variation in the radial direction; the other two are coupled equations for the velocity and magnetic field, which are functions of the radial variable only. The solutions of these equations have been obtained in terms of Kelvin and Lommel functions on the assumption of small electric conductivity and the velocity profiles are examined for different values of the frequencies of pulsation.