Flow of a Dusty Fluid Past a Wavy Noving Wall

Abstract

The two-dimensional flow of a dusty fluid induced by sinusoidal wavy motion of an infinite wavy wall has been discussed. The basic equations have been solved by regular perturbation method at moderate amplitudes of the motion of the wall and for large wave-length. The velocity components of the fluid and the dust particles along the axial and the transverse directions consist of a mean steady flow and a periodic flow, except for the transverse component of the velocity of the fluid. It is found that the mean steady flow is proportional to 4π²a²⁄L², where a and L are respectively the amplitude and the wavelength of the wavy wall. Graphs of the velocity components for various values of mass-concentration of the dust particles have been drawn. It is found that the velocity components of both fluid and dust particles are oscillatory and decrease rapidly along the transverse direction and that the amplitudes of oscillations of the fluid are greater than those of particles.