Double diffusion from a horizontal line source

A simple mathematical model is proposed for the analysis of the buoyancy dr iven heat and mass transfer Slow in an unbounded fluid induced by a horizon tal line source which besides generating head, generates a chemical substan ce, too, at a constant rate. The temperature distribution and species conce ntration are assumed to be unaffected by the fluid motion, and Stokes flow approximation is invoked. An exact analytical solution is obtained Sor the flow field and stream lines are computed to demonstrate the evolution of th e flow field; at different times. Velocity profiles are drawn to show the i mpact of species concentration gradients upon the thermally induced Slow. V olume flow rate is found to increase with an increase in the numerical valu es of the parameters N and A. Eventhough heat was specified to be one of Me two diffusion mechanisms, the results apply as well to the case where the source generates simultaneously two different chemical components.