Uniaxial extension of an isothermal fluid cylinder in the presence of inertia,surface tension and gravity

Effects of inertia, surface tension and gravity in the constant force stretching of isothermal cylindrical filaments of Newtonian, power-law and Maxwell-type fluids were analysed in Lagrangian coordinates. Solution for the purely gravitational extension of Newtonian fluid cylinder was found to be as simple as = 1 – C ₃ (1 – ) where designates the cross sectional area, the Lagrangian distance and the time. Analytical solutions were also available for the case of inertialess Newtonian and power-law fluids.A first-order backward differencing scheme and minimal computer time were sufficient to numerically analyse the constant force extension of Maxwell-type fluids in the presence of inertia, gravity and surface tension. Effects of inertia, surface tension and gravity on the severity of neck down occurring at either end of the filament are summarized in diagrams. The present approach is valid on any other constitutive model as far as there is a numerical scheme to analyse thehomogeneous extension of a cylinder of that particular fluid.     

Dual nature of Ricci scalar and creation of spinless particles

Manifestation of Ricci scalar like a matter field as well as a geometrical field, at high energy, has been noted earlier [9]. Here, its interaction with another scalar field is considered in four-dimensional curved space-time. This interaction leads to the production of a large number of pairs of spinless particle-antiparticle due to expansion of the early universe in the vacuum state (provided by temperature dependent Coleman-Weinberg like potential for Ricci field), where spontaneous symmetry breaking takes place.     

单片机在重力加速度测量中的应用

本文介绍用ＤＶＣＣ—５１—ＧＬ单片单板机在重力加速度测量中的基本原理与方法。     

有重弹性体形变与质量分布规律的简明推导

依据胡克定律与串联弹性体的劲度系数计算公式,直观简便地导出了弹性体在重力场中的形变规律、质量分布规律及其质心位置.     

直接供液与重力供液制冷系统的对比研究

重力再循环供液是指蒸发器依靠制冷剂自身的重力送入蒸发器,在供液高度大于蒸发器对制冷剂的阻力情况下,部分制冷剂液体在蒸发器和气液分离器所形成的回路中再循环.由于再循环作用不需要外加动力,并强化管内制冷剂的沸腾换热,蒸发器的效率得以明显提高.文中介绍了重力再循环供液制冷系统和蒸发器的结构,提出采用J.Chawla关系式和Shah关联式相结合的方法预测再循环蒸发器制冷剂侧的换热系数.采用窄气侧热平衡法,对直接膨胀供液和重力再循环供液制冷系统分别进行了多蒸发温度下的性能测试.表明重力再循环供液制冷系统比直接膨胀供液制冷系统的制冷量平均增加26％,COP平均增加18％,蒸发温度平均升高1.1℃,传热系数是直接供液的1.57倍.J.Chawla关系式和Shah关联式相结合预测再循环蒸发器制冷剂侧的换热系数,其曲线结构与实验值近似,平均误差不大于20.6％.文章还对各热工参数的变化原因进行了分析.     

利用重力增压的新型有机工质热力发电循环

与水蒸气朗肯循环给水泵相比,有机朗肯循环工质泵存在技术难度大、效率低、易气蚀和单位功率成本高等问题。本文提出了一种利用重力增压的新型有机工质热力发电循环,冷凝器出口工质不经过泵而依靠重力增压,然后进入蒸发器气化。分别采用R113、R123和R245fa三种干工质分析了不同蒸发温度和冷凝温度下循环所需的重力增压高度。并基于泵的实验数据,比较了该热力循环与泵增压有机朗肯循环的性能。结果表明,相同工作温度下沸点和密度越高的工质所需的重力增压高度越小。在蒸发温度100℃和冷凝温度50℃时,若采用R113,新型循环所需的重力增压高度为22.2 m,热效率为8.1%,比泵增压循环效率高约0 8%。该重力增压循环显示了应用于热电联供领域的潜力。     

Stochastic modeling of a billiard in a gravitational field: Power law behavior of Lyapunov exponents

We consider the motion of a point particle (billiard) in a uniform gravitational field constrained to move in a symmetric wedge-shaped region. The billiard is reflected at the wedge boundary. The phase space of the system naturally divides itself into two regions in which the tangent maps are respectively parabolic and hyperbolic. It is known that the system is integrable for two values of the wedge half-angle ₁ and ₂ and chaotic for ₁<< ₂. We study the system at three levels of approximation: first, where the deterministic dynamics is replaced by a random evolution; second, where, in addition, the tangent map in each region is, replaced by its average; and third, where the tangent map is replaced by a single global average. We show that at all three levels the Lyapunov exponent exhibits power law behavior near ₁ and ₂ with exponents 1/2 and 1, respectively. We indicate the origin of the exponent 1, which has not been observed in unaccelerated billiards.