透水率に異方性を有する飽和多孔質層内の側方加熱による自然対流熱伝達 : 第1報, 理論解析

抄録

Natural covection heat transfer and flow structure in an anisotropic porous medium of square cavity saturated with Boussinesq fluid has been studied analytically and numerically. Based on asymptotic analysis three distinctive regimes are found depending upon the magnitude of permeability ratio K. In the vicinity of K=1 the average Nusselt number and fluid velocity are scaled with (KRa)^1/2 when either K or the Rayleigh number Ra is varied. In the limit of K→0 the heat transfer across the cavity approaches to the conductive state, and the convecting velocity, which is primarily in the vertical direction, is scaled with KRa. In the other end of spectrum, namely K→∞, the average Nusselt number and the convecting velocity are scaled with Ra and independent of K. The asymptotic results are verified with two-dimensional numerical calculations. The ranges of K of the respective regimes are also determined based on the numerical results.