Deformation of human abdominal aorta at biaxial tensioning

An experimental procedure is suggested for studying biaxial tensioning of soft biopolymeric material. The experimental data found at a monaxial and biaxial tensioning are compared.     

Effect of molding conditions on fracture mechanisms and stiffness of a composite of grid structure

Methods of determining a complex of stiffness and deformability characteristics of a composite with rhomb-type grid structure were elaborated. Rhomb-type specimens were used for testing the ribs of the structure in tension, compression, and bending and the nodal points in shear in the plane of the ribs. The effect of additional tensioning of the ribs preceding the curing of the binder was investigated (ten tensioning levels ranging from 8 to 70 N/bundle with a linear density of 390 tex were applied). In testing epoxy-carbon specimens (UKN-5000+EHD-MK) in compression and tension, the failure mode changed depending on the tensioning level, i.e., the presence or absence of delamination and the appearance of dry fibers were detected. Dependences of the mechanical properties on tensioning were of a markedly pronounced extreme nature. The methods elaborated allow us to investigate the effect of other molding parameters, as well as the conditions and nature of loading, on the mechanical characteristics of composites.Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 1, pp. 71–78, January–February, 1999.     

Deformability and strength of compact bone tissue during tensioning

The deformability and strength characteristics of compact bone tissue of human tibia during tensioning along all three main anisotropy axes was determined experimentally. The character of change in the secant moduli of elasticity and specific energies of deformation during the loading process were studied. A correlation was established between the mechanical characteristics and the biochemical composition of the bone tissue.     

Slip effects on MHD flow of third order fluid in a planar channel

In this paper, the peristaltic flow of magnetohydrodynamic (MHD) third order fluid in a planar channel with slip condition is investigated. The solutions are derived under long wavelength and low Reynolds number approximations. Explicit expressions of stream function, longitudinal pressure gradient, longitudinal velocity, temperature and coefficient of heat transfer are given. The pumping and trapping phenomena are analyzed in the presence of MHD and slip effects. The effects of parameters on temperature distribution and heat transfer coefficient are discussed. A comparison is provided with the different existing cases.     

Analytical solutions for movement of cold water thermal front in a heterogeneous geothermal reservoir

In the present study an analytical model has been presented to describe the transient temperature distribution and advancement of the thermal front generated due to the reinjection of heat depleted water in a heterogeneous geothermal reservoir. One dimensional heat transport equation in porous media with advection and longitudinal heat conduction has been solved analytically using Laplace transform technique in a semi infinite medium. The heterogeneity of the porous medium is expressed by the spatial variation of the flow velocity and the longitudinal effective thermal conductivity of the medium. A simpler solution is also derived afterwards neglecting the longitudinal conduction depending on the situation where the contribution to the transient heat transport phenomenon in the porous media is negligible. Solution for a homogeneous aquifer with constant values of the rock and fluid parameters is also derived with an aim to compare the results with that of the heterogeneous one. The effect of some of the parameters involved, on the transient heat transport phenomenon is assessed by observing the variation of the results with different magnitudes of those parameters. Results prove the heterogeneity of the medium, the flow velocity and the longitudinal conductivity to have great influence and porosity to have negligible effect on the transient temperature distribution.     

Temperature Stresses in a Piecewise-Homogeneous Cylindrical Shell Caused by the Presence of a Longitudinal Crack

By using the method of generalized conjugation problems, we propose a numerical scheme for investigation of the redistribution of temperature stresses in a piecewise-homogeneous cylindrical shell caused by a longitudinal crack. This scheme is based on systems of integral equations (some of them are singular) to determine the unknown jumps of integral characteristics of the disturbed temperature field and displacements and their derivatives on the line of a crack and on the interface as well as the derivatives of these integral characteristics with respect to the longitudinal coordinate at the interface.     

Rarefied Gas Flow between Two Coaxial Cylinders Driven by Temperature Gradient in the Case of Specular-Diffuse Reflection

Computational Mathematics and Mathematical Physics - The slow longitudinal flow of a rarefied gas between two infinitely long coaxial cylinders driven by a prescribed temperature gradient is...     

Application of the two-dimensional differential transform method to heat conduction problem for heat transfer in longitudinal rectangular and convex parabolic fins

In this article, approximate analytical (series) solutions for the temperature distribution in a longitudinal rectangular and convex parabolic fins with temperature dependent thermal conductivity and heat transfer coefficient are derived. The transient heat conduction problem is solved for the first time using the two-dimensional differential transform method (2D DTM). The effects of some physical parameters such as the thermo-geometric parameter, exponent and thermal conductivity gradient on temperature distribution are studied. Furthermore, we study the temperature profile at the fin tip.     

Deformation energy function of large human blood vessels

A function of the specific energy of deformation, selected in the form of a number of exponents, is proposed. It describes well the stress-strain state of anisotropic human blood vessel at large deformations. The constants of the material included in the deformation energy function are determined by experiments for a monoaxial tensioning, along the main anisotropy axes. As an example, they were found for the human abdominal aorta, taken during an autopsy (male, age 29 years), by approximation of the experimental data on a computer by the method of least squares.     

Evaluation of reduction behavior of blast furnace dust particles during in-flight process with experiment aided mathematical modeling

In-flight reduction technology is a flexible process that allows recycling of the fine iron bearing metallurgical dusts efficiently. In this work, a mathematical model, incorporating introduced experimental kinetic parameters, was developed to accurately evaluate the reduction behavior of blast furnace (BF) dust particles during flight. A detailed evaluation of particle residence time, thermal history and reduction degree conversion were used to eliminate the deviations related to the assumptions of constant particle velocity and temperature in the experiment. The results show that the particle velocity decreases along the longitudinal direction of the reactor for a long distance and reaches a constant low velocity at the middle part of the reaction zone. The calculated particle residence time is 0.15–0.44 s less than the experimentally estimated value. The particle temperature reaches the isothermal temperature at the 0.15 m position from the reaction zone bottom. An obvious transition of reduction degree of dust particle is found when particle temperature reaches over 1640 K. The prediction accuracy of the model was improved by using the optimized kinetic parameters, namely pre-exponential factor and activation energy.     

异质材料有限长微通道电渗流热效应

采用数值方法,分析有限长PDMS/玻璃微通道电渗流热效应．数值求解双电层的Poisson-Boltzmann方程,液体流动的Navier-Stokes方程和流-固耦合的热输运方程,分析二维微通道电渗流的温度特性．考虑温度变化对流体特性（介电系数、粘度、热和电传导率）的反馈效应．数值结果表明,在通道进口附近有一段热发展长度,这里的流动速度、温度、压强和电场快速变化,然后趋向到一个稳定状态．在高电场和厚芯片的情况下,热发展长度可以占据相当一部分的微通道．电渗流稳定态温度随外加电场和芯片厚度的增加而升高．由于壁面材料的热特性差异,在稳定态时的PDMS壁面温度比玻璃壁面温度高．研究还发现在微通道的纵向和横向截面有温度变化．壁面温升降低双电层电荷密度．微通道纵向温度变化诱发流体压强梯度和改变微通道电场特性．微通道进流温度不改变热稳定态的温度和热发展长度．     

Numerical study of a mathematical model of a catalytic fuel processor with cocurrent oxidation and conversion flows

The results are presented of the numerical study of a mathematical model in the form of a nonlinear boundary value problem describing the stationary regimes in a catalytic fuel processor. We study a two-dimensional model for the endoblock, with the longitudinal heat and mass transfer by the gas and the transversal heat conductivity along the catalyst in the two-temperature approximation. For the exochannel, a model is considered with the longitudinal heat and mass transfer by the gas flow and the longitudinal heat transfer along the catalytic wall. These two blocks are related to each other through the equality of the temperature and heat flux on the boundary. The results obtained are in good agreement with experimental data.     

Equation of state of a plane chain molecule

An equation of state giving the relation between the intermolecular gap, the intermolecular force, the longitudinal force, and temperature is obtained from the Clausius virial theorem on the basis of a mechanical model of a plane zig-zag macromolecule.     

热-力耦合原子-连续关联模型的框架及其算法

对热-力耦合的原子-连续关联模型进行了系统研究,给出了计及热-力耦合行为的金属微-纳米构件内材料的瞬态弹性常数,应力、应变、比热容等物理量的具体计算公式及其算法.利用原子运动中的“结构形变”部分来研究微-纳米尺度下多晶原子团簇的非均匀结构变形.将原子团簇晶格结构的变形与连续体的变形关联起来,在准简谐近似假设下,推导出依赖于微观结构变形和热振动的自由能密度、熵密度、内能密度表达式,从而给出了微-纳米尺度下的瞬态热-力学参数.     

Problems of the mechanics of winding thick-walled composite structures

Conclusions Dividing the winding process into individual stages, examination of the interply compliance of the composites, and the introduction of the circular metals made it possible to link the parameters of this process and, in particular, the tensioning force, with the properties of the completed component. It was thus possible to propose engineering methods of calculating thick-walled wound components with an allowance made for technological prior history. Structures for specific applications were constructed and a new technological method proposed and applied. These methods include the methods of producing spatial reinforced driveshafts whose load-carrying frame is produced on the basis of the system of the single filament. The studies examined in this work were used as a starting point for further investigations and development of the mechanics of winding in a number of scientific centers of the country.Translated from Mekhanika Kompozitnykh Materialov, No. 5, pp. 618–626, September–October, 1992.     

A two-dimensional orthotropic model for simulating wood drying processes

Wood is a naturally occurring resource that must be dried before it can be manufactured. Drying is important for a number of reasons that include the protection of the wood against biological damage and the reduction of the moisture content to final equilibrium levels. The complexities involved in modelling this drying process consist of analyzing the heat and mass transfer phenomena that arise in an anisotropic, nonhomogeneous, and hygroscopic porous medium. In this work, a two-dimensional orthotropic mathematical model is formulated and a numerical code based on a structured mesh cell centered control volume approach is implemented in order to allow a more comprehensive numerical investigation of the convective drying of wood to be undertaken. A comparison is made between two different numerical solution techniques; the first numerical method solves the system of equations by treating each equation in an uncoupled form, while the second scheme solves the entire system as a completely coupled set. The most efficient numerical algorithm was obtained when the system was solved using the coupled procedure. In order to examine the important differences of the overall kinetics for both low and high temperature drying, simulation results for three different cases of convective drying of wood are presented. These cases include the drying of wood below the boiling point at a relatively low temperature of 50 °C, a moderate temperature of 80 °C, and above the boiling point at the high temperature of 120 °C. The two-dimensional model highlights the following two very important facts: for an anisotropic medium, where the ratio between longitudinal and transverse permeabilities is of the order of 10³, the moisture migration occurs in the longitudinal sense which is the most permeable direction in the wood; and the behavior of the internal gaseous pressure can have a substantial impact on moisture migration.     

射流通道内方柱发热器件的几何设计北大核心CSCD

基于构形理论,建立了二维射流通道内导热基座上方柱离散热源的散热优化模型.给定离散热源的总纵截面面积和热源高度为约束条件,以系统最高温度和熵产率为优化目标,以各热源的长度比为优化变量进行了几何设计,并分析了射流速度和热源间距对热源最优构形的影响.当射流速度和热源间距给定时,均存在最优长度比使系统最高温度和熵产率最低,但对应不同射流速度和热源间距的最优长度比不同.研究结果可为方柱发热器件的热设计提供理论指导.     

Modeling of cross-flow heat exchangers with viscoelastic fluids

The conduction–convection heat loss from a viscoelastic liquid, subjected to two-dimensional flow within the core of a cross-flow heat exchanger arrangement with a mixed or unmixed external fluid, is investigated with direct numerical simulations. A numerical algorithm based on the finite difference method is implemented in time and space with the Giesekus constitutive model for the viscoelastic liquids. The core-fluid is subjected to an initial Poiseuille flow, driven by an adverse pressure gradient and its temperature varies in both the longitudinal and transverse directions. The results show that a viscoelastic core-fluid choice leads to slightly higher temperature losses within the core-fluid stream as compared to a corresponding Newtonian fluid. As is expected, we also observe significantly higher temperature drops within the core-fluid for the case of unmixed ambient fluids as opposed to the mixed external fluid.