A Study of Two-Dimensional Unsteady Dusty Fluid Flow Under Varying Pressure Gradient

摘要

The differential geometry techniques are used to study the geometry of two-dimensional unsteady dusty gas flow. The intrinsic decomposition of equations of continuity and conservation of linear momentum of fluid and dust phase are carried out in Frenet frame system. The flow analysis is carried out under different restrictions on the velocities of dust and fluid phase. The solutions for these velocities, number density of dust particle and density of gas and pressure are obtained. On the other hand by assuming the pressure gradient to be constant, linear, exponential and periodic, solutions for the velocities and dust and fluid are obtained. The graphs are plotted u_s versus t and v_n versus t. Finally the conclusions of these results are given.