The uniformity principle of temperature difference field is very useful in heat exchanger analyses and optimizations.In this paper,we analyze some other heat transfer optimization problems in the thermal management sy...The uniformity principle of temperature difference field is very useful in heat exchanger analyses and optimizations.In this paper,we analyze some other heat transfer optimization problems in the thermal management system of spacecrafts,including the cooling of thermal components,the one-stream series-wound heat exchanger network,the volume-to-point heat conduction problem,and the radiative heat transfer optimization problem,and have found that the uniformity principle of temperature difference field also holds.When the design objectives under the given constraints are achieved,the distributions of the temperature difference fields are uniform.The principle reflects the characteristic of the distribution of potential in the heat transfer optimization problems.It is also shown that the principle is consistent with the entransy theory.Therefore,although the principle is intuitive and phenomenological,the entransy theory can be the physical basis of the principle.展开更多
It is shown that the famous Banach-Steinhaus theorem can be generalized to some families of nonlinear functionals defined on some topological groups and topological vector space, e.g. the F-spaced lβ(0 <β < 1)...It is shown that the famous Banach-Steinhaus theorem can be generalized to some families of nonlinear functionals defined on some topological groups and topological vector space, e.g. the F-spaced lβ(0 <β < 1) and S[a, b].展开更多
In this paper, we attempt to give a unified approach to the existing several versions of Ekeland＇s variational principle. In the framework of uniiorm spaces, we introduce p-distances and more generally, q-distances....In this paper, we attempt to give a unified approach to the existing several versions of Ekeland＇s variational principle. In the framework of uniiorm spaces, we introduce p-distances and more generally, q-distances. Then we introduce a new type of completeness for uniform spaces, i.e., sequential completeness with respect to a q-distance （particularly, a p-distance）, which is a very extensive concept of completeness. By using q-distances and the new type of completeness, we prove a generalized Takahashi＇s nonconvex minimization theorem, a generalized Ekeland＇s variational principle and a generalized Caristi＇s fixed point theorem. Moreover, we show that the above three theorems are equivalent to each other. From the generalized Ekeland＇s variational principle, we deduce a number of particular versions of Ekeland＇s principle, which include many known versions of the principle and their improvements.展开更多
The uniformity principle of temperature difference field is a phenomenological principle,which has not been theoretically proved.For one-dimensional two-and three-stream heat exchangers,the extremum principle of entra...The uniformity principle of temperature difference field is a phenomenological principle,which has not been theoretically proved.For one-dimensional two-and three-stream heat exchangers,the extremum principle of entransy dissipation was used to optimize the heat transfer process by variational calculus.It was indicated that the temperature difference field between the hot and cold fluids should be completely uniform if the entransy dissipation reached a minimum for a given heat duty,or if the heat duty reached a maximum for a given entransy dissipation.So,the uniformity principle of temperature difference field of heat exchangers was primarily proved.展开更多
The concept of dimensionless temperature-difference uniformity optimization factor was proposed.The application of this factor to path arrangement was studied.The study showed that dimensionless temperature-difference...The concept of dimensionless temperature-difference uniformity optimization factor was proposed.The application of this factor to path arrangement was studied.The study showed that dimensionless temperature-difference uniformity optimization factor was an effective evaluation criterion of path arrangement of multi-stream heat exchangers and the design of multi-stream heat exchangers could be guided by this factor.展开更多
Recently, the locally convex space theory has obtained a series of proper developments and improvements by the agency of the Basic Matrix Theorem (BMT) duc to J. Mikusinski and P. Antosik. In this note, we would like ...Recently, the locally convex space theory has obtained a series of proper developments and improvements by the agency of the Basic Matrix Theorem (BMT) duc to J. Mikusinski and P. Antosik. In this note, we would like to present another basic theorem named Uniform Convergence Principle (UCP). We shall show that UCP has the same effects as BMT, though UCP is easier than BMT in their proofs. UCP. Let G be an abelian topological group and Ωa sequentially compact space.展开更多
基金Project supported by the Science Fund for Creative Research Groups of National Natural Science Foundation of China(Grant No.51621062)
文摘The uniformity principle of temperature difference field is very useful in heat exchanger analyses and optimizations.In this paper,we analyze some other heat transfer optimization problems in the thermal management system of spacecrafts,including the cooling of thermal components,the one-stream series-wound heat exchanger network,the volume-to-point heat conduction problem,and the radiative heat transfer optimization problem,and have found that the uniformity principle of temperature difference field also holds.When the design objectives under the given constraints are achieved,the distributions of the temperature difference fields are uniform.The principle reflects the characteristic of the distribution of potential in the heat transfer optimization problems.It is also shown that the principle is consistent with the entransy theory.Therefore,although the principle is intuitive and phenomenological,the entransy theory can be the physical basis of the principle.
文摘It is shown that the famous Banach-Steinhaus theorem can be generalized to some families of nonlinear functionals defined on some topological groups and topological vector space, e.g. the F-spaced lβ(0 <β < 1) and S[a, b].
基金Supported by National Natural Science Foundation of China(Grant No.10871141)
文摘In this paper, we attempt to give a unified approach to the existing several versions of Ekeland＇s variational principle. In the framework of uniiorm spaces, we introduce p-distances and more generally, q-distances. Then we introduce a new type of completeness for uniform spaces, i.e., sequential completeness with respect to a q-distance （particularly, a p-distance）, which is a very extensive concept of completeness. By using q-distances and the new type of completeness, we prove a generalized Takahashi＇s nonconvex minimization theorem, a generalized Ekeland＇s variational principle and a generalized Caristi＇s fixed point theorem. Moreover, we show that the above three theorems are equivalent to each other. From the generalized Ekeland＇s variational principle, we deduce a number of particular versions of Ekeland＇s principle, which include many known versions of the principle and their improvements.
文摘The uniformity principle of temperature difference field is a phenomenological principle,which has not been theoretically proved.For one-dimensional two-and three-stream heat exchangers,the extremum principle of entransy dissipation was used to optimize the heat transfer process by variational calculus.It was indicated that the temperature difference field between the hot and cold fluids should be completely uniform if the entransy dissipation reached a minimum for a given heat duty,or if the heat duty reached a maximum for a given entransy dissipation.So,the uniformity principle of temperature difference field of heat exchangers was primarily proved.
文摘The concept of dimensionless temperature-difference uniformity optimization factor was proposed.The application of this factor to path arrangement was studied.The study showed that dimensionless temperature-difference uniformity optimization factor was an effective evaluation criterion of path arrangement of multi-stream heat exchangers and the design of multi-stream heat exchangers could be guided by this factor.
文摘Recently, the locally convex space theory has obtained a series of proper developments and improvements by the agency of the Basic Matrix Theorem (BMT) duc to J. Mikusinski and P. Antosik. In this note, we would like to present another basic theorem named Uniform Convergence Principle (UCP). We shall show that UCP has the same effects as BMT, though UCP is easier than BMT in their proofs. UCP. Let G be an abelian topological group and Ωa sequentially compact space.
基金国家自然科学基金( the National Natural Science Foundation of China under Grant No.60773062) 教育部科学技术研究重点项目( the Key Scientific and Technical Research Project of Ministry of Education of China under Grant No.206012) +1 种基金河北省教育厅科研计划重点项目( the Key Scientific Research Project of Department of Hebei Education of China under Grant No.2005001D) 河北省自然科学基金资助项目( the Natural Science Foundation of Hebei Province of China under Grant No.2008000633)
