多连通域上一类二阶椭圆组D问题的Hausdorff可解性

本文研究一类二阶非线性椭圆型方程组(1)在边界Γ上适合条件w(z)|_r=0(2)的Dirichlet问题(以下简称为D问题)的可解性.这里G是平面上m+1连通的标准区域,即它的边界Γ是由m+1个圆周Γ_k:|z-z_k|=r_k所组成,Γ_0是单位圆|z|=1,Γ_k(k≥1)在Γ_0内且互相外离,原点z=0∈G.本文的结果是对文[1]研究单连通域D     

Surface Modification of Anionic Polyurethane with Silk Fibroin Peptide and Its Effects on the Culture of Fibroblasts

The surface modification of the anionicpolyurethane(APU) film was carried out by immersing it insilk fibroin peptide(SFP) solution for 12 h and then treatingwith low temperature plasma glow discharge. The physicalproperties and moisture permeability of modified films wereexamined. The results showed that SFP-modified APU filmshad better moisture permeability than oleophilicpolyurethane, as well as modified APU films kept goodflexibility. Modified APU films could overcome rigid andbrittle weaks of silk fibroin films. The morphology of SFPon the APU film was corpuscular aggregations. The water-contact angle measurement indicated that the change ofhydrophilicity and the element chemical analysis suggestedthat the SFP-modified film surface was enriched withnitrogen atoms. The biocompatibility of APU films may beimproved due to the change of surface compooents. Cellviability and proliferation of rat embryo dermal fibroblastsseeded on control films, APU films and SFP-modified APUfilms were evaluated by MTT assay and viable cell counts,respectively. The results indicated that the APU filmmodified by SFP protein showed the proliferation offibroblasts on the film, and that the compound interface hadgood stability in the air. Results also showed thatpresoaking treatment for APU films was effective toaccomplish the goal of surface modification.     

垂直井筒两相流温度场的模拟计算

井筒多相流体的物性参数和流变特性参数等均是温度的敏感函数,因此.精确计算井筒多相流体的温度分布是准确预测其压力分布、进行油井生产参数优化设计和工况分析等的重要基础.文中基于两相流动力学和传热学理论,建立了垂直井简及其周围地层温度场的数学模型.依据建立的模型,编制了不同开采工艺下的井筒温度场计算程序.并对单相和两相流体流动下的井筒温度场进行了计算与对比分析.     

水平井筒变质量流体流动实验研究

设计并建立了水平井筒变质量流体流动的模拟实验装置。对具有射孔完井的水平井筒变质量流动特性进行了实验研究,利用先进的数据采集系统获取了大量的实验数据。对水平井井筒单孔眼段流体的流动阻力损失分析可知,流动阻力由三部分组成：管壁摩擦阻力、加速损失和混合损失。通过对实验数据进行处理,得出了混合损失和主流流速与孔眼流速之间的关系。对于一定的主流流速,混合损失随孔眼流速的增大而增大;对于一定的孔眼流速,混合损失随主流流速的增大而增大,此时流体流入孔眼对水平井筒中流体流动的影响比较显著,从而增加了井筒中流动的复杂性。实验数据的回归结果表明,在本实验条件下,主流流速和孔眼流速是造成混合损失的主要因素。