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
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.