Mass Transfer of Decaying Products in Vortex Pipe Flow with Gravity Effect

摘要

Presented herein is the problem of steady-state diffusion of the decayingproducts resulting from the disintegration of an inert gas in a forced and diminishing vortex through a vertical cylindrical tube section under symmetrical gravitational influences. The disintegration products of the gass diffuse radically to the walls where they are completely annihilated. The flow properties of the fluid phase are determined by solving the complete Navier Stokes equations, and the respective solutions for the concentration distributions are obtained. Also presented are the nondimensional bulk concentration values for the respective gravity and Peclet parameterization. These values are of importance in the determination of the diffusion coefficients of the disintegration products as well as the estimation of the losses of particles in connecting tubes (stationary/rotating) which arise from diffusion. The results of these calculations indicate that increasing the inertial forces over the diffusive forces causes ain increase in particle penetration; also, increasing the gravity field at a fixed Peclet number increases the penetration or inhibits wall deposition. Similarly, increasing the gravity field at a fixed Peclet number and increasing the Peclet number for fixed gravity field diminished the concentration profile.