Investigating heat conduction in a sphere with heat absorption using generalized Caputo fractional derivative

In this paper, we study the ρ-Laplace transform and the finite sin-Fourier transform as powerful tools in solving fractional differential equations with generalized Caputo derivative. We use these transforms to solve the time-fractional heat equation with a generalized Caputo fractional derivative associated with heat absorption in spherical coordinates. We obtain the solutions in two cases of Dirichlet boundary conditions. The effect of the parameter $\rho$, which characterizes the generalized Caputo derivative is illustrated through some numerical examples.     

Electro-osmotic flow of fractional second-grade fluid with fractional Cattaneo heat flux through a vertical microchannel

This study investigates the unsteady electro-osmotic flow (EOF) of a fractional second-grade fluid through a vertical microchannel with convection heat transfer. The fractional Cattaneo heat flux model will be used to modify the heat equation. The solutions for the velocity and the temperature have been derived by employing the Laplace and finite Fourier sine transforms and their numerical inverses. The results show that at the beginning of the time period, the fractional parameter postpones the movement of the fluid. Furthermore, the results show that at the high values of retardation time (non-Newtonian case), the required time for the velocity and the flow rate to reach the steady state increases. Moreover, the heat relaxation time reduces the heat transfer until a critical time, and then the effect reverses.     

Designing amorphous formulations of polyphenols with naringin by spray-drying for enhanced solubility and permeability

Naringin (NAR), a major flavanone (FVA) glycoside, is a component of food mainly obtained from grapefruit. We used NAR as a food additive to improve the solubility and permeability of hydrophobic polyphenols used as supplements in the food industry. The spray-dried particles (SDPs) of NAR alone show an amorphous state with a glass transition temperature (T_g) at 93.2 °C. SDPs of hydrophobic polyphenols, such as flavone (FVO), quercetin (QCT), naringenin (NRG), and resveratrol (RVT) were prepared by adding varying amounts of NAR. All SDPs of hydrophobic polyphenols with added NAR were in an amorphous state with a single T_g, but SDPs of hydrophobic polyphenols without added NAR showed diffraction peaks derived from each crystal. The SDPs with NAR could keep an amorphous state after storage at a high humidity condition for one month, except for SDPs of RVT/NAR. SDPs with NAR enhanced the solubility of hydrophobic polyphenols, especially NRG solubility, which was enhanced more than 9 times compared to NRG crystal. The enhanced solubility resulted in the increased membrane permeability of NRG. The antioxidant effect of the hydrophobic NRG was also enhanced by the synergetic effect of NAR. The findings demonstrated that NAR could be used as a food additive to enhance the solubility and membrane permeability of hydrophobic polyphenols.     

Impacts of slip and mass transpiration on Newtonian liquid flow over a porous stretching sheet

This article focuses on analytic solutions for Newtonian fluid flow with slip and mass transpiration on a porous stretching sheet using the differential transform method and Pade approximants of an exceptionally nonlinear differential equation. The impacts of different parameters including mass transpiration (suction/injection), Navier's slip, and Darcy number parameters on the velocity of the liquid and tangential stress are discussed. A comprehensive comparison of our results with the previous one in the literature is made, and the results showed good agreement. An investigation is conducted of a combination of magnetic liquids that are conceivably pertinent for wound medicines, skin repair, and astute coatings for natural gadgets. It is found that there is a decrease in the velocity profiles and the boundary layer thickness for the case of suction.     

柔性台背路基沉降的非线性计算与评价

为了研究桥台路基结构的数值模拟计算方法,该文在考虑土的固结和土体的非线性应力应变关系的基础上,利用非线性有限元数值方法对土工织物加筋柔性台背路基的受力性状和破坏机理进行了分析。分析结果表明,将铺有土工合成材料的桥台路堤,看作由土体、土工合成材料、土体-土工合成材料界面组成的、独立的平面应变三层连续体系,进行数值计算是行之有效的。计算显示,加筋可以明显使台背位移分布趋于均匀化,显著减轻由于台背密实度不足造成路堤的差异沉降。现场监测表明,该文采用的数值模拟方法与实际工程具有一致性。     

露天煤矿边坡工程岩体结构分析与计算机模拟研究

分析了岩体结构的自然特性，介绍了分形维数的求解方法及其计算机模拟程序，并给出了工程实例。     

行星差动变速机构的特点与设计方法

首先按照差动轮系3个基本构件的承载能力,确定行星差动变速机构的简图,然后,分析这种变速机构的特点,得出了这种变速机构的设计方法。最后举例说明了整个设计计算过程。     

变压器差动保护的新原理研究

针对当前电力系统中变压器保护由于励磁涌流鉴别理论不完善而导致的正确动作率不高的问题,在分析了变压器励磁涌流和有功损耗的基础上,提出了用变压器正序有功功率差动作为区别励磁涌流和故障电流的判据,并以成熟的比率制动差流保护作为内、外部故障判据的变压器主保护的新原理．该原理中的励磁涌流判据采用了变压器非线性模型,能更好地反映变压器的工作状态,且不受系统类型和运行方式的影响．     

无功补偿关键技术的应用

分析已有无功补偿控制器存在的问题,认为电力系统高次谐波的存在是影响电子式无功补偿控制器正常运行的关键,设计了高次谐波滤波器.由于滤波器存在相移,以往的相位识别方法存在盲区,对此提出了可适应任意接线方式的相位识别技术,并给出了补偿电容投切优化控制算法.     

结构面对岩体爆破块度分布影响的分形探讨

在前人研究成果的基础上，应用分形几何理论探讨了结构面对岩体爆破块度分布影响的分形规律，得出了几点有益的结论．