Diffusion effects on weak spherical disturbances in binary mixtures
Abstract
Combined massdiffusion, viscous, and thermalconduction effects on weak spherical disturbances in inert binary mixtures are investigated by means of the linearized NavierStokes equations. Pressure diffusion is of special interest. Laplacetransform techniques are utilized to obtain asymptotic approximations valid for large and small times. The smalltime behavior is entirely diffusive and reflects transport interactions induced by pressure diffusion. The largetime solution shows a wave behavior with diffusive wave fronts broadened by pressure diffusion. For the massfraction disturbance, wave behavior is a secondorder contribution induced by pressure diffusion which prevails when the initial massfraction disturbance is zero.
 Publication:

8th Southeastern Conference on Theoretical and Applied Mechanics
 Pub Date:
 1976
 Bibcode:
 1976tam..proc..589R
 Keywords:

 Binary Mixtures;
 Gaseous Diffusion;
 Mass Transfer;
 Thermal Conductivity;
 Viscosity;
 Asymptotic Methods;
 Equations Of Motion;
 Gas Mixtures;
 Laplace Transformation;
 NavierStokes Equation;
 Wave Propagation;
 Fluid Mechanics and Heat Transfer