关于丢番图方程x6±y6=2pz2

设p＞3为素数,证明了丢番图方程x6-y6=2pz2无正整数解,证明了丢番图方程x6+y6=2pz2在p≠1(mod 24)时无正整数解,同时获得了方程在p≡1(mod 24)时有正整数解的计算公式.     

常微分方程教学模式转变初探

常微分方程作为数学类专业的基础课程，在教学过程中存在教学方法单一、教学内容偏理论化、教学观念陈旧、相关知识联系被忽视等问题。结合多年的实践教学经验，对上述问题提出了一些新的改革思路，以期能提高大学生的创新能力、自主学习能力和独立思考能力，为社会培养更多综合素质高、应用能力强的实用性人才。     

层板发汗冷却数学模型与控制方程的求解

本文描述了结构层板与冷却剂相互之间存在温差的发汗冷却计算模型,导出了层板发汗冷却控制方程。对定常控制方程的积分求解方法和超临界状态非定常控制方程的数值求解方法进行了探讨,例举了液体火箭发动机推力室壁采用液氧作为冷却剂的计算结果。计算结果表明,基本模型符合实际的物理过程,求解过程直观简捷。由于冷却机理的类似,其数学模型与计算方法也适用于多孔材料等其它形式的热控制装置的发汗冷却研究。     

基于红外物理与传热学的目标红外成像模型

现有计算机图形学的光照模型,都是对可见光的光照效果的描述,由于它们没能反映物体的红外特性,因而不能为目标的红外仿真提供显示模型。本文从红外物理及传热学的基本理论出发,提出目标的红外成像仿真模型。该模型成功地模拟了由内热源引起的目标的红外特征。从实验结果看,模型的红外仿真效果较理想。     

扩展Hermite方程及其求解

用级数展开法,严格求解了一二阶微分方程,此方程的特殊情况是Ｈｅｒｍｉｔｅ方程,并讨论了方程的本征值以及本征函数的正交性问题,最后还讨论了方程所对应的数种实际物理模型。     

玻璃窑炉内液流和传热过程的研究方法

介绍了玻璃窑炉内流动和传热过程的研究方法,要介绍了每个研究方法中有代表性的研究成果。     

进口精密机械凸轮配件的生产开发

在进口机械产品中,凸轮是一种较易磨损的零配件,需求量较大,而进口价格却很高。本文针对我们在进口轻工机械凸轮配件的研制开发中碰到的一些问题及解决的方法作一个简要的介绍。     

某潜水热水机传热分析及腐蚀性讨论

潜水热水机是一种将海水或淡水加热到一定温度,并通过加压由脐带向水下输送至潜水员,从而给潜水员持续供暖的开放式加热系统。本文建立了某潜水热水机的传热模型,分析了其导热、自然对流、热辐射等传热情况及其保温,另对该潜水热水机进行了现场试验,结果验证了模型的正确性,其次,还对其耐海水腐蚀性进行了讨论。     

The optimal configuration of reciprocating engine based on maximum entransy loss

A class of two-heat-reservoir heat engine model with heat leakage,finite heat capacity high-temperature source and infinite heat capacity low-temperature heat sink,is researched with the finite-time thermodynamic theory and the entransy theory.The optimal configuration based on the minimum entropy generation and the maximum entransy loss under the given cycle is searched,which are compared with the optimal configuration based on the maximum output work,and all the heat transfer in the model is assumed to obey the Newton’s law.The results show that,for the infinite heat capacity high-temperature source,the optimal configuration does not change whether heat leakage exists or not;however,for the finite hightemperature reservoir,the optimal configuration is different among which based on the minimum entropy generation,the maximum entransy loss,and the maximum output work when the heat leakage exists.     

Acid condensation and heat transfer characteristics on H-type fin surface with bleeding dimples and longitudinal vortex generators

Acid condensation rate is an important factor denoting the acid corrosion, and the reduction of the acid condensation can significantly relieve the acid corrosive effect on the wall surface and improve the security of the equipments. In this study, the characteristics of both heat transfer and acid condensation of the finned tube in heat exchanger were numerically studied. In the numerical model, we simulated the acid condensation by considering the vapor-liquid equilibrium effect and multi-component diffusion effect. Based on the H-type finned oval tube, we proposed three novel types of fins to both enhance the heat transfer and reduce the acid condensation. The parametric effects of gas temperature, acid vapor concentration, water vapor concentration, and Reynolds number were investi- gated on different fin structures. The results show that the tube bank with the new structured fins can improve the performance on both heat transfer and acid anticondensation.