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| 1 | Explicit analytical solutions of non-Fourier heat conduction equation for IC chip显示文摘Four basic explicit analytical solutions of non_Fourier heat conduction equation simulating IC chip thermal condition are derived. Some other analytical series solutions can also be derived with the above_mentioned basic solutions. Analytical solution has its own irreplaceable important meaning in theory. In addition, as the standard solution to check the accuracy, convergence and effectiveness of various numerical computational methods and their differencing schemes, grid generation ways and so on, the analytical solution is very useful also for the newly rapidly developing computational heat transfer. | Ruixian Cai Na Zhang | 1998 | Chinese Science Bulletin1998，43，13： | 11 |
| 2 | A new method for deriving analytical solutions of partial differential equations-Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media显示文摘Analytical solutions of governing equations of various phenomena have their irre-placeable theoretical meanings. In addition, they can also be the benchmark solu-tions to verify the outcomes and codes of numerical solutions, and even to develop various numerical methods such as their differencing schemes and grid generation skills as well. A hybrid method of separating variables for simultaneous partial differential equation sets is presented. It is proposed that different methods of separating variables for different independent variables in the simultaneous equa-tion set may be used to improve the solution derivation procedure, for example, using the ordinary separating method for some variables and using extraordinary methods of separating variables, such as the separating variables with addition promoted by the first author, for some other variables. In order to prove the ability of the above-mentioned hybrid method, a lot of analytical exact solutions of two-buoyancy convection in porous media are successfully derived with such a method. The physical features of these solutions are given. | CAI RuiXian LIU QiBin | 2008 | Science China(Physics,Mechanics & Astronomy)2008，51，11： | 6 |
| 3 | Influencing factors of inpatient expenditure pattern for cancer in China, 2015显示文摘Objective: We analyzed the proportion of cancer-caused hospitalization expenses in total hospitalization expenses from national authoritative data and explored influencing factors of the proportion so as to provide effective data information for more rational utilization of health resources.Methods: Two-level lineal regression model was used to explore influencing factors of ratios of the cancer inpatient expenditure over the total inpatient expenditure of hospitals in China in 2015. A total of 40.76 million inpatient medical records were used to generate the outcome variables, while the explanatory variables were from hospital information database and China Health and Family Planning Statistical Yearbook and literatures.Results: Inpatient expenditure pattern for cancer(IEPC) varied largely across provinces, ranging from 3.03% to19.61%. The major sources of variability were from the differences of hospital level and number of beds. There was homogeneity within a province, while heterogeneity between the provinces. Rising one level of the hospital led to the increase of 0.475 natural logarithm units of IEPC averagely. The number of beds increasing 1,000 each made the natural logarithm of IEPC increase one unit averagely.Conclusions: Our study showed that a considerable proportion of IEPC variation could be explained by the differences of hospital level and number of beds. It implied that it is possible to estimate disease-specific ratio of inpatient expense taking into account key influencing factors in China. Furthermore, this study is an input to economic and financial analyses and provides evidence for future study on the national economic burden of cancer. | Lan Lan Yue Cai Tao Zhang Ruixian Wu Ming Xue Qun Meng | 2017 | Chinese Journal of Cancer Research2017，29，1： | 3 |
| 4 | An analytical solution of non-Fourier Chen-Holmes bioheat transfer equation显示文摘An algebraically explicit analytical solution with heat wave effect is derived for the non-Fourier bioheat transfer Chen-Holmes model. Besides its important theoreti-cal meaning (for example, to expand the understanding of heat wave phenomena in living tissues), this analytical solu-tion is also valuable as the benchmark solution to check the numerical calculation and to develop various numerical computational approaches. | GOU Chenhua CAI Ruixian | 2005 | Chinese Science Bulletin2005，50，23： | 2 |
| 5 | Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media显示文摘Analytical solutions of governing equations of various physical phenomena have their own irreplaceable theoretical meaning. In addition, they can also be the benchmark solutions to verify the outcomes and codes of numerical solution, and to develop various numerical methods such as their differencing schemes and grid generation skills as well. In order to promote the development of the discipline of natural convection, three simple algebraically explicit analytical solution sets are derived for a non-linear simultaneous partial differential equation set with five dependent unknown variables, which represents the natural convection in porous media with both temperature and concentration gradients. An extraordinary method separating variables with addition is applied in this paper to deduce solutions. | CAI Ruixian*, ZHANG Na and LIU Weiwei (Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China) | 2003 | Progress in Natural Science:Materials International2003，13，11： | 2 |
| 6 | Analytical solutions and part-load per-formances of single shaft gas turbine and its cogeneration 显示文摘 | ZHANG Na CAI Ruixian | 2002 | Analytical Conversion and Management2002，43，： | 1 |
| 7 | Analysis of the recuperative gas turbine cycle with a recuperator located betweem turbines 显示文摘 | CAI Ruixian JIANG Lixia | 2006 | Applied Thermal Engineering2006，，26： | 1 |
| 8 | A proposed scheme for coal fired combined cycle and its concise performance显示文摘 | CAI RUIXIAN GOU CHENHUA | 2006 | Applied Thermal Engineering2006，27，89： | 1 |
| 9 | General characteristics of single shaft microturbine set at variable speed operation and its optimization 显示文摘 | WANG Wei CAI Ruixian ZHANG Na | 2004 | Applied Thermal Engineering2004，24，13： | 1 |
| 10 | Analytical solutions and typical charac- teristics of part-load performances of single shaft gas turbineand its cogeneration 显示文摘 | ZHANG Na CAI Ruixian | 2002 | Energy Conversion and Management2002，43，9： | 1 |
| 11 | Solar thermal power cycle with integration of methanol decomposition and middle-temperature solar thermal energy显示文摘 | Hui Hong Hongguang Jin Jun Ji Zhifeng Wang Ruixian Cai | 2004 | Solar Energy2004，，1： | 1 |
| 12 | Novel cogeneration power system with liquefied natural gas (LNG) cryogenic exergy utilization显示文摘 | Deng Shimin Jin Hongguang Cai Ruixian | 2004 | Energy2004，29，： | 1 |
| 13 | Anslytical Solutions and Typical Characteristics of Part - load Performances of Single Shaft Gas Turbine and Its Cogeneration显示文摘 | Zhang Na Cai Ruixian | 2002 | Energy Conversion and Management2002，，43： | 1 |
| 14 | Development of multifunctional energy systems (MESs) 显示文摘 | Cai Ruixian Jin Hongguang Gao Lin | 2010 | Energy2010，35，1： | 1 |
| 15 | A proposed scheme for coal fired combined cycle and its concise performance 显示文摘 | Cai Ruixian Gou Chenhua | 2007 | Applied Thermal Engineering2007，27，4： | 1 |
| 16 | Explicit analytical solutions of the anisotropic Brinkman model for the natural convection in porous media显示文摘 | Ruixian Cai Na Zhang | 2002 | Science in China Series A: Mathematics2002，，6： | 1 |
| 17 | Novel eogeneration power system with liquefied natural gas (LNG) cryogenic exergy utilization 显示文摘 | DENG Shimin JIN Hongguang CAI Ruixian | 2004 | Energy2004，29，4： | 1 |
| 18 | A Three-Dimensional Inverse Method Using Navier-Stokes Equation for Turbomachinery Blading 显示文摘 | Wang Zhengming Cai Ruixian | 2000 | Inverse Problems in Engineering2000，，8： | 1 |
| 19 | General characteristics of single shaft micro - turbine set at variable speed operation and its optimization显示文摘 | Wei Wang Ruixian Cai Na Zhang | 2004 | Applied Thermal Engineering2004，，24： | 1 |
| 20 | Temporal trend in mortality of cardiovascular diseases and its contribution to life expectancy increase in China, 2013 to 2018显示文摘Backgrounds::Cardiovascular disease(CVD)remains the leading cause of deaths nationwide.However,little is understood about its temporal trend and corresponding influence on longevity improvements.We aimed to describe the updated tendency in CVD mortality and to quantify its impact on life expectancy(LE)increase in China.Methods::All-cause mortality rates were calculated with population sizes from the National Bureau of Statistics and death counts from the National Health Commission.We estimated CVD mortality rates by allocating age-and sex-based mortality envelopes to each CVD subtype based on its proportion derived from the Disease Surveillance Points system.The probability of CVD premature deaths and LE were calculated with life tables and we adopted Arriaga’s method to quantitate age-and cause-specific contributions to LE gains.Results::During 2013 to 2018,the age-standardized mortality rate of CVD decreased from 289.69(95%confidence interval[CI]:289.03,290.35)/100,000 to 272.37(95%CI:271.81,272.94)/100,000,along with a decline in probability of CVD premature deaths from 9.05%(95%CI:9.02%,9.09%)to 8.13%(95%CI:8.10%,8.16%).The gap in CVD mortality across sexes expanded with more remarkable declines in females,especially for those aged 15 to 64 years.Among major subtypes,the probability of premature deaths from hemorrhage stroke declined fastest,while improvements of ischemic stroke and ischemic heart disease were limited,and there was an increase in stroke sequelae.LE in China reached 77.04(95%CI:76.96,77.12)years in 2018 with an increase of 1.38 years from 2013.Of the total LE gains,21.15%(0.29 years)were attributed to reductions of CVD mortality in the overall population,mostly driven by those aged>65 years.Conclusions::The general process in reducing CVD mortality has contributed to longevity improvements in China.More attention should be paid to prevention and control of atherosclerotic CVD and stroke sequelae,especially for the elderly.Working-age males also deserve additional attention due to inadequate improvements. | Xue Xia Yue Cai Xiang Cui Ruixian Wu Fangchao Liu Keyong Huang Xueli Yang Xiangfeng Lu Shiyong Wu Dongfeng Gui | 2022 | Chinese Medical Journal2022，135，17： | 1 |
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