Source-Type Solution of Nonlinear Parabolic Diffusion-Convection Equation

This paper is concerned with the nonlinear parabolic diffusion-convection equationut = (um).. (un)x (1)with a Dirac measure as its initial datum,i.e.u(x,0) = (x), (2)where m 1 and n 0 are two physical constants.From a mathematical point of view,this quasilinear parabolic equation is uniformly parabolicif m = 1 and nonuniformly parabolic (that is degenerate near the set where u = 0 ) if m > 1.Moreover the convection term become singular near the set where u = 0 if 0 < n < 1 .Ourtreatment will…     

交叉流聚丙烯中空纤维膜式氧合器的传质研究Ⅰ结构因子α、β的测定和氧合器传质效果评价

在膜式氧合器水气传递实验装置上分别对二种不同的交叉流微孔聚丙烯中空纤维膜式氧合器进行了水气传递实验，测得了氧合器的结构因子α、β，并用Ｍｏｃｋｒｏｓ和Ｌｅｏｎａｒｄ对Ｏ２传递建立的半经验数学模型拟合了血气传递实验中氧气在血中的传递速率。结果表明，理论计算与实验数据十分吻合，偏差小于１０％。讨论了α、β与膜式氧合器的传递效果的关系。