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学术成果(Academic Achievements): (Proposed analytical models for fractal dimensions for single-phase, two-phase and multi-phase fractal media; proposed analytical models for transport properties (thermal, flow resistance, permeabilities) for Newtonian and non-Newtonian fluid flow in porous media; proposed analytical model for fractal dimension for tortuous capillaries in porous media; corrected come erroneous models for fractal geometry in porous media. Referee for the national “863” plan for “resources and environment technologies”; Member of Committee of Complex Science .) 近年来在分形几何理论、多孔介质输运理论、复杂性网络理论等研究方面取得了一批有意义的研究成果。如提出了单相、三相和多相多孔介质分形维度数的解析计算公式;单相和三相多孔介质热和流体输运性质的分形模型;提出了多孔介质里弯曲流线迂曲度的分形维度数的解析计算公式;提出了多孔介质等效热导率的分形和自相似分析解模型;提出了纳米流体等效热导率的分析解数学模型; 提出了沸腾换热和临界热通量及纳米流体沸腾换热的分形分析解;对分形树状结构里的流体输运,热和电输运性质,研究得到了分析解和标度性质; 粗糙表面的分形和蒙特卡罗模拟等. 还纠正了国外某些学者有关多孔介质渗透率的错误分形模型和有关多孔介质孔隙率与分形维度数关系的错误理论模型.
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