Premium
Double Diffusion from a Horizontal Line Source
Author(s) -
Ganapathy R.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199909)79:9<635::aid-zamm635>3.0.co;2-#
Subject(s) - diffusion , line (geometry) , line source , geology , geometry , physics , optics , mathematics , thermodynamics
A simple mathematical model is proposed for the analysis of the buoyancy driven heat and mass transfer flow in an unbounded fluid induced by a horizontal line source which besides generating heat, generates a chemical substance, too, at a constant rate. The temperature distribution and species concentration are assumed to be unaffected by the fluid motion, and Stokes flow approximation is invoked. An exact analytical solution is obtained for the flow field and streamlines are computed to demonstrate the evolution of the flow field, at different times. Velocity profiles are drawn to show the impact of species concentration gradients upon the thermally induced flow. Volume flow rate is found to increase with an increase in the numerical values of the parameters N and A. Eventhough heat was specified to be one of the two diffusion mechanisms, the results apply as well to the case where the source generates simultaneously two different chemical components.