In this paper, we study a generalized quasi-variational inequality (GQVI for short) with twomultivalued operators and two bifunctions in a Banach space setting. A coupling of the Tychonov fixedpoint principle and the ...In this paper, we study a generalized quasi-variational inequality (GQVI for short) with twomultivalued operators and two bifunctions in a Banach space setting. A coupling of the Tychonov fixedpoint principle and the Katutani-Ky Fan theorem for multivalued maps is employed to prove a new existencetheorem for the GQVI. We also study a nonlinear optimal control problem driven by the GQVI and givesufficient conditions ensuring the existence of an optimal control. Finally, we illustrate the applicability of thetheoretical results in the study of a complicated Oseen problem for non-Newtonian fluids with a nonmonotone andmultivalued slip boundary condition (i.e., a generalized friction constitutive law), a generalized leak boundarycondition, a unilateral contact condition of Signorini’s type and an implicit obstacle effect, in which themultivalued slip boundary condition is described by the generalized Clarke subgradient, and the leak boundarycondition is formulated by the convex subdifferential operator for a convex superpotential.展开更多
The basic concepts of sequence stratigraphy can be applied to any cyclic successions regardless of their origin being marias or nonmarine .The storm base can be taken as the base level at the gentle slope side of a f...The basic concepts of sequence stratigraphy can be applied to any cyclic successions regardless of their origin being marias or nonmarine .The storm base can be taken as the base level at the gentle slope side of a faulted basin for distinguishing the systems tractS as no shelf edge is present in nonmarihe fault6d basins. Most of coatinuous rethetions with high amplitude in seismic sections, misunderstood previously as the boundaries of stratigraphic unit, are maximum flooding surface (MFS)in fact. Abundant and diversified microfossils and nannofossils high content of organic carbon,various authigenic minerals such as glauconie,siderite are concentrated nearby these surfaces. It means that the open sea water invaded iato the faulted basins many times in Cretaceous and Paleogene, which make a restricted environment favourable for oil generation. The trend of lake level changes is similar to that of Haq's curve generally, however, the influence of local movements and autostrahgraphic events have to be colandered. The stratal patterns and models of nonmarine sequence are proposed.展开更多
In this paper, we investigate the validity of approximation theorm of K. Fan for a demicompact 1-set-contraction map defined on a closed ball,an annulus and a sphere in cones. From this, we improve all recent results ...In this paper, we investigate the validity of approximation theorm of K. Fan for a demicompact 1-set-contraction map defined on a closed ball,an annulus and a sphere in cones. From this, we improve all recent results of Lin [2]. As applications of our theorems, we discuss the existence of positive solutions to twopoint boundary value-problems of differential equations in Banach space. At the same time, the recent main results of (3) established by Guo Dajun are Generalized and supplemented.展开更多
为了更加真实地分析风机流场,并缩短数值计算时间,分别建立不同参数(尺寸、转速)的轴流风机的三维流场模型,基于RANS模型中的Realizable k-ε模型,分别采用速度边界、Fan边界、3D Fan zone 3种边界条件对风机内部流场、射流通风流场进...为了更加真实地分析风机流场,并缩短数值计算时间,分别建立不同参数(尺寸、转速)的轴流风机的三维流场模型,基于RANS模型中的Realizable k-ε模型,分别采用速度边界、Fan边界、3D Fan zone 3种边界条件对风机内部流场、射流通风流场进行稳态计算,并将计算结果与文献中风机试验数据进行了对比验证。为了进一步验证风机内部流场模拟结果的准确性,对1台SF3-4轴流式风机进行性能测试,结果表明:采用3D Fan zone和Fan边界条件计算内部流场的气动性能数据与试验值最接近,平均误差分别为1.59%和4.42%,但要求的网格数较多,计算时间长,而采用速度边界条件虽平均误差为10.3%,要求的网格数较少且计算时间短。在模拟风机射流通风流场时,采用3D Fan zone与Fan边界条件能实现流场边缘处的微小尺度旋流及流场各处的温度变化,而采用速度边界条件虽能实现流场中心处的大尺度射流,但无法实现流场其他位置的流动、传热现象;3种边界条件的计算结果都与风机内部流场的实际性能参数吻合度高,研究结果可为风机流场研究提供参考。展开更多
A theoretical calculation method of off-design performance is developed for an axial flow fan of oil cooling system in helicopter,including calculation of aerodynamic parameters and performance parameters.When calcula...A theoretical calculation method of off-design performance is developed for an axial flow fan of oil cooling system in helicopter,including calculation of aerodynamic parameters and performance parameters.When calculating inlet shock loss,the shock loss coefficient is obtained by comparing results of theoretical calculation,experimental and numerical calculation.The theoretical results and numerical results show that all air velocity components increase from hub to shroud in main flow area at rated condition.Tip leakage vortex moves downstream as flow rate increases.When flow rate decreases,Re decreases,and boundary layer thickness from hub to shroud area all increases gradually.Tip leakage vortex moves upstream,and secondary loss increases.Low speed area in the passage is widened along with high speed area moving to hub area,influenced by boundary layer separation.Consequently wake area and jet area at fan outlet are both larger than rated condition.Therefore optimization design for off-design performance of the fan is required on aerodynamic parameters influencing fan loss.A reliable method is supplied for estimating altitude performance of lubricating system in helicopter.展开更多
基金The first author was supported by the Guangxi Natural Science Foundation of China(Grant No.2021GXNSFFA196004)National Natural Science Foundation of China(Grant No.12001478)+4 种基金Horizon 2020 of the European Union(Grant No.823731 CONMECH)National Science Center of Poland(Grant No.2017/25/N/ST1/00611)The second author was supported by National Science Foundation of USA(Grant No.DMS 1720067)The third author was supported by the National Science Center of Poland(Grant No.2021/41/B/ST1/01636)the Ministry of Science and Higher Education of Poland(Grant Nos.4004/GGPJII/H2020/2018/0 and 440328/PnH2/2019)。
文摘In this paper, we study a generalized quasi-variational inequality (GQVI for short) with twomultivalued operators and two bifunctions in a Banach space setting. A coupling of the Tychonov fixedpoint principle and the Katutani-Ky Fan theorem for multivalued maps is employed to prove a new existencetheorem for the GQVI. We also study a nonlinear optimal control problem driven by the GQVI and givesufficient conditions ensuring the existence of an optimal control. Finally, we illustrate the applicability of thetheoretical results in the study of a complicated Oseen problem for non-Newtonian fluids with a nonmonotone andmultivalued slip boundary condition (i.e., a generalized friction constitutive law), a generalized leak boundarycondition, a unilateral contact condition of Signorini’s type and an implicit obstacle effect, in which themultivalued slip boundary condition is described by the generalized Clarke subgradient, and the leak boundarycondition is formulated by the convex subdifferential operator for a convex superpotential.
文摘The basic concepts of sequence stratigraphy can be applied to any cyclic successions regardless of their origin being marias or nonmarine .The storm base can be taken as the base level at the gentle slope side of a faulted basin for distinguishing the systems tractS as no shelf edge is present in nonmarihe fault6d basins. Most of coatinuous rethetions with high amplitude in seismic sections, misunderstood previously as the boundaries of stratigraphic unit, are maximum flooding surface (MFS)in fact. Abundant and diversified microfossils and nannofossils high content of organic carbon,various authigenic minerals such as glauconie,siderite are concentrated nearby these surfaces. It means that the open sea water invaded iato the faulted basins many times in Cretaceous and Paleogene, which make a restricted environment favourable for oil generation. The trend of lake level changes is similar to that of Haq's curve generally, however, the influence of local movements and autostrahgraphic events have to be colandered. The stratal patterns and models of nonmarine sequence are proposed.
文摘In this paper, we investigate the validity of approximation theorm of K. Fan for a demicompact 1-set-contraction map defined on a closed ball,an annulus and a sphere in cones. From this, we improve all recent results of Lin [2]. As applications of our theorems, we discuss the existence of positive solutions to twopoint boundary value-problems of differential equations in Banach space. At the same time, the recent main results of (3) established by Guo Dajun are Generalized and supplemented.
文摘为了更加真实地分析风机流场,并缩短数值计算时间,分别建立不同参数(尺寸、转速)的轴流风机的三维流场模型,基于RANS模型中的Realizable k-ε模型,分别采用速度边界、Fan边界、3D Fan zone 3种边界条件对风机内部流场、射流通风流场进行稳态计算,并将计算结果与文献中风机试验数据进行了对比验证。为了进一步验证风机内部流场模拟结果的准确性,对1台SF3-4轴流式风机进行性能测试,结果表明:采用3D Fan zone和Fan边界条件计算内部流场的气动性能数据与试验值最接近,平均误差分别为1.59%和4.42%,但要求的网格数较多,计算时间长,而采用速度边界条件虽平均误差为10.3%,要求的网格数较少且计算时间短。在模拟风机射流通风流场时,采用3D Fan zone与Fan边界条件能实现流场边缘处的微小尺度旋流及流场各处的温度变化,而采用速度边界条件虽能实现流场中心处的大尺度射流,但无法实现流场其他位置的流动、传热现象;3种边界条件的计算结果都与风机内部流场的实际性能参数吻合度高,研究结果可为风机流场研究提供参考。
基金National Aviation Science Foundation of China (No. 20080451014)
文摘A theoretical calculation method of off-design performance is developed for an axial flow fan of oil cooling system in helicopter,including calculation of aerodynamic parameters and performance parameters.When calculating inlet shock loss,the shock loss coefficient is obtained by comparing results of theoretical calculation,experimental and numerical calculation.The theoretical results and numerical results show that all air velocity components increase from hub to shroud in main flow area at rated condition.Tip leakage vortex moves downstream as flow rate increases.When flow rate decreases,Re decreases,and boundary layer thickness from hub to shroud area all increases gradually.Tip leakage vortex moves upstream,and secondary loss increases.Low speed area in the passage is widened along with high speed area moving to hub area,influenced by boundary layer separation.Consequently wake area and jet area at fan outlet are both larger than rated condition.Therefore optimization design for off-design performance of the fan is required on aerodynamic parameters influencing fan loss.A reliable method is supplied for estimating altitude performance of lubricating system in helicopter.
