THERMAL, VISCOUS AND SOLUTAL DIFFUSIONS INTO A STRATIFIED GRAVITATINGBINARY-FLUID MIXTURE

Authors
Citation
Cs. Lim, THERMAL, VISCOUS AND SOLUTAL DIFFUSIONS INTO A STRATIFIED GRAVITATINGBINARY-FLUID MIXTURE, Zeitschrift fur angewandte Mathematik und Physik, 48(5), 1997, pp. 788-826
Citations number
16
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
ISSN journal
00442275
Volume
48
Issue
5
Year of publication
1997
Pages
788 - 826
Database
ISI
SICI code
0044-2275(1997)48:5<788:TVASDI>2.0.ZU;2-H
Abstract
A fluid-creating source, an applied force, a heat source and a solute- injecting source radiate into a gravitating binary fluid mixture which incorporates solutal-and-thermal stratification. The fluid is viscous and heat-conducting. Transverse radiation is treated for vertically i nvariant, anisotropic radiators. A column-vectorial radiation field is determined under circumstances of implicit stability and wave-existen ce. It comprises three cylindrical-type, coupled thermoconvective wave s with anisotropic amplitudes and transversely isotropic phases. Each radiated wave suffers a transversely isotropic decay that is, at long range, partially exponential and partially governed by an inverse squa re-root law. Partial uncoupling of radiative diffusion processes is de monstrated. The radiation field can degenerate into a pulsating Poisso n field traversed by two thermoconvective coupled wavefields. Another type of degeneration occurs in a near-critical case wherein two comple x roots to the dispersion relation nearly coincide; it modifies the ra diation field and, in particular, the spatial decay, but preserves non singularity. An application is made to thermoconvection from heated fl at and curved surfaces so as to secure information on symmetry, antisy mmetry, nodes, maximum intensities and, especially, focussing. Low fre quency waves that sustain weak and strong decays and manifests strong and weak peaks respectively are also established and studied.