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一类非线性ROBIN问题解的边界层现象
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作者 谢峰 《安徽师范大学学报(自然科学版)》 CAS 2000年第2期190-192,共3页
:本文讨论了非线性Robin问题      εy″ =f(t ,y ,y′) ,a <t<b ,      y(a ,ε) - p1y′(a ,ε) =A ,      y(b ,ε) +p2 y′(b ,ε) =B在 fy′y′ ≠
关键词 ROBIN问题 奇摄动 边界层现象 非线性
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柯西问题解的双重边界层现象
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作者 范建生 《福建商业高等专科学校学报》 2001年第6期32-33,共2页
本文揭示了方程与边界双摄动的二阶拟线性常微分方程柯西问题解的双重边界层性质 ,根据不同的层次引用不同的伸长变量 ,分别构造了解具有不同量级的边界层校正项 ,得到关于解的一致有效的渐近展开式和有关的余项估计。
关键词 柯西问题 奇异摄动 双重边界层现象
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四阶椭圆型方程的角边界层现象
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作者 邹仁德 《漳州师范学院学报(自然科学版)》 2002年第3期49-52,共4页
本文研究某类四阶椭圆型方程奇摄动边值问题解的角边界层现象。为了消除边界层函数在角点的影响,我们在角点的邻域构造角边界函数并给出有关的余项估计。
关键词 四阶椭圆型方程 奇摄动 边界层现象 边界层函数 角点 条项估计 形式渐近解
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伴有边界摄动的三阶微分方程边值问题解的多重边界层现象
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作者 陈丽华 《福建师大福清分校学报》 1999年第2期27-33,共7页
本文研究一类伴有边界摄动的三阶半线性微分方程边值问题解的多重边界层现象,在适当的假设条件下,利用微分不等式的方法,证明解的一致有效展开式及有关余项估计.
关键词 边界摄动 三阶微分方程 边值问题解 多重边界层现象 余项估计
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奇摄动椭圆型方程第一边值问题的边界层—内层现象
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作者 陈育森 《福建师大福清分校学报》 1995年第2期19-25,32,共8页
本文讨论椭圆型方程第一边值问题的边界层-内层现象.利用渐近方法,我们得到了摄动解的存在性及其直到的一致有效的渐近展开式。
关键词 椭圆型方程 第一边值问题 边界层-内层现象 奇摄动 摄动解 渐近展开式
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多尺度有限元法在分层网格上的边界层数值模拟 被引量:2
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作者 孙美玲 刘雪 江山 《扬州大学学报(自然科学版)》 CAS 北大核心 2021年第4期5-10,共6页
针对二维奇异摄动问题的对流扩散方程,应用多尺度有限元法在分层网格上数值求解边界层现象.利用多尺度有限元的基函数承载微观摄动性态,在宏观尺度下仅用少量计算资源通过分层网格自适应地逼近边界层.数值模拟结果表明,该方法是有效的... 针对二维奇异摄动问题的对流扩散方程,应用多尺度有限元法在分层网格上数值求解边界层现象.利用多尺度有限元的基函数承载微观摄动性态,在宏观尺度下仅用少量计算资源通过分层网格自适应地逼近边界层.数值模拟结果表明,该方法是有效的且能得到不依赖于摄动系数大小与稳定收敛的高精度结果. 展开更多
关键词 奇异摄动问题 多尺度有限元 分层网格 边界层现象
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一类三阶拟线性微分方程边值问题的奇摄动 被引量:1
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作者 陈丽华 《福建师大福清分校学报》 1997年第2期13-20,共8页
本文研究一类三阶拟线性常微分方程边值问题解的多重边界层现象。根据不同的层次引用不同的伸长变量,分别构造具有不同量级的边界层校正项,并在适当的条件下,利用微分不等式的理论,证明解的一致有效展开式和有关余项估计。
关键词 三阶拟线性常微分方程 奇摄动 多重边界层现象 微分不等式 边值 形式渐近解 余项估计
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含双参数的三阶拟线性微分方程边值问题的奇摄动
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作者 陈丽华 《福建师大福清分校学报》 1998年第2期16-21,共6页
本文研究含双参数的三阶拟线性常微分方程边值问题解的多重边界层现象。在适当的条件下,利用微分不等式方法,证明解的存在性及其余项估计。
关键词 双参数 边值问题 奇摄动 多重边界层现象 三阶拟线性常微分方程 微分不等式 边界条件
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Interface Shape and Marangoni Effect Around aBubble Within the Thermal Boundary Layer 被引量:1
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作者 X.F.Peng J.M.Ochterbeck 《Journal of Thermal Science》 SCIE EI CAS CSCD 1998年第1期54-60,共7页
The characteristics of a vapor bubble within the thermal boundary layer were theoretically analyzed.The physical models accounting for the variation of ioterfacial tension and nuid density with tempera-ture were propo... The characteristics of a vapor bubble within the thermal boundary layer were theoretically analyzed.The physical models accounting for the variation of ioterfacial tension and nuid density with tempera-ture were proposed to investigate bubble interfaCe aspects and the fluid flow around the bubble. The analyses demonstrated that the variation in interfacial tension results in variations in the liquid-vapor interface shape and bubble dynamics, which may play a significant role in the departure process of a vapor bubble from a heated wall surface. Increasing temperature gradients in the boundary layer and the gravitational field induce a contact line contraction and correspondingly promotes bubble depar-ture. The simulation of liquid now around the bubble shows that natural convection dominates the flow for earth conditions; however, the thermocapillary forces provide the principal catalyst for bubble departure in a microgravity environment. The results indicate that both the vapor bubble contraction and the Marangoni flow may increase the heat transfer around the vapor bubble and may cause the bubble to mov away from the heating surface, further increasing heat transfer. 展开更多
关键词 interfacial phenomenon marangoni effect BUBBLE BOILING
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Shock wave-boundary layer interactions control by plasma aerodynamic actuation 被引量:4
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作者 SUN Quan LI YingHong +3 位作者 CUI Wei CHENG BangQin LI Jun DAI Hui 《Science China(Technological Sciences)》 SCIE EI CAS 2014年第7期1335-1341,共7页
This study demonstrates the potential for shock wave-boundary layer interaction control in air by plasma aerodynamic actuation.Experimental investigations on shock wave-boundary layer interactions control by plasma ae... This study demonstrates the potential for shock wave-boundary layer interaction control in air by plasma aerodynamic actuation.Experimental investigations on shock wave-boundary layer interactions control by plasma aerodynamic actuation are conducted in a Mach 3 in-draft air tunnel.Schlieren imaging shows that the discharges cause the oblique shock to move forward.Schlieren imaging and static pressure probes also show that separation phenomenon shifts backward and the size of separation is enlarged when plasma aerodynamic actuation is applied.The intensity of shock wave is weakened through wall pressure probe.Furthermore,numerical investigations on shock wave-boundary layer interactions control are conducted with plasma aerodynamic actuation.The discharge is modeled as a steady volumetric heat source which is integrated into the energy equation.The input energy level is about 7 kW through discharge process.Results show that the separation phenomenon shifts backward and the intensity of shock is reduced with plasma actuation.These numerical results are consistent with the experimental results. 展开更多
关键词 shock wave boundary layer PLASMA SEPARATION flow control
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Topological evolution of laminar juncture flows under different critical parameters 被引量:1
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作者 YOUNIS Muhammad Yamin ZHANG Hua +1 位作者 HU Bo MEHMOOD Saqib 《Science China(Technological Sciences)》 SCIE EI CAS 2014年第7期1342-1351,共10页
Horseshoe vortex topological structure has been studied extensively in the past,traditional"saddle of separation"and new"attachment saddle point"topologies found in literature both have theoretical... Horseshoe vortex topological structure has been studied extensively in the past,traditional"saddle of separation"and new"attachment saddle point"topologies found in literature both have theoretical basis and experimental and computational evidences for support.The laminar incompressible juncture flows at low Reynolds numbers especially are observed to have new topology.Studies concerning the existence of the new topology though found in literature,the topological evolution and its dependency on various critical flow parameters require further investigation.A Particle Image Velocimetry based analysis is carried out to observe the effect of aspect ratio,?*/D and shape of the obstacle on laminar horseshoe vortex topology for small obstacles.Rise in aspect ratio evolves the topology from the traditional to new for all the cases observed.The circular cross section obstacles are found more apt to having the new topology compared to square cross sections.It is noted that the sweeping effect of the fluid above the vortex system in which horseshoe vortex is immersed plays a critical role in this evolution.Topological evolution is observed not only in the most upstream singular point region of horseshoe vortex system but also in the corner region.The corner vortex topology evolves from the traditional type to new one before the topological evolution of the most upstream singular point,resulting in a new topological pattern of the laminar juncture flows"separation-attachment combination".The study may help extend the understanding of the three-dimensional boundary layer separation phenomenon. 展开更多
关键词 horseshoe vortex saddle of attachment saddle of separation topological evolution sweeping effect
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