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Similarity solutions are obtained for one-dimensional unsteady flow of a dusty gas behind a spherical shock wave with heat conduction and radiation heat flux under a gravitational field of heavy nucleus at the centre (Roche model). The dusty gas is assumed to be a mixture of small solid particles and a non-ideal gas. The equilibrium flow conditions are assumed to be maintained, and the heat conduction...
In this paper we present a mathematical model for the two-phase flow of a mono-component fluid in an undeformable porous medium. The main practical application is the problem of gas extraction in a geothermal reservoir for which the model can be used for predicting the extinction time of a specific phase in the reservoir. The system is modeled assuming that temperature is not evolving and that the...
This paper presents ride comfort and driving stability performances of electronic control suspension (ECS) equipped with controllable electrorheological (ER) damper and appropriate control strategy. In order to achieve this goal, a cylindrical type ER damper which is applicable to Macpherson strut type suspension of a mid-sized passenger vehicle is designed and manufactured on the basis of the required...
In this study, main and parametric resonances of an asymmetrical spinning shaft with in-extensional nonlinearity and large amplitude are simultaneously investigated. The main resonance is due to inhomogeneous part of the equations of motion, which is due to dynamic imbalances of shaft whereas the parametric resonances are due to parametric excitations due to speed fluctuations and a shaft asymmetry...
This paper uses thermal non-equilibrium model to study transient heat transfer by natural convection of a nanofluid over a vertical wavy surface. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. Three-temperature model is applied to represent the local thermal non-equilibrium among the particle, fluid, and solid-matrix phases. Finite difference method...
The design and analysis of a new module for the orientation of the instrument tip in minimally invasive surgery are presented in the paper. The aspects related to its design and modularity point out the advantages of the proposed solution: increased ergonomics and dexterity, wider workspace, reduced number of incisions. The solution is analysed with respect to the main drawbacks which are currently...
Recently, Sherief et al. (Int. J. Solids Struct. 47:269–275, 2010) proposed a model in generalized thermoelasticity based on the fractional order time derivatives. The propagation of electro-magneto-thermoelastic disturbances in a perfectly conducting elastic half-space is investigated in the context of the above fractional order theory of generalized thermoelasticity. There acts an initial magnetic...
Within the framework of one-dimensional unsteady compressible flow in deformable pipes, the present work proposes expressions able to represent the stress state of a “fluid-pipe” continuous system. The coefficients needed to define the friction forces are calibrated against experimental results. The proposed expressions highlight the crucial role played by the fluid compressibility on the wave resistance.
In recent years nanostructures have been used in a vast number of applications, so the study of the mechanical behavior of such structures could be of interest. In the present study, the buckling behavior of circular annular plates and solid disks under uniform compression has been surveyed for several combinations of boundary conditions using the finite difference method. The affects of nonlocal...
This paper is to study the two-dimensional dynamic stress of a functionally graded material (FGM) plate with a circular hole under plane compressional waves at infinity. With using the method of piece-wise homogeneous layers, the dynamic stress distribution of the FGM plate having radial arbitrary material parameters is derived based on the complex variable method. As examples, numerical results are...
On the basis of Stokes couple-stress fluid model together with the hydromagnetic flow equations, a two-dimensional curved squeeze-film Reynolds equation has been derived. This equation can be applied to the study of squeeze film characteristics including the non-Newtonian hydromagnetic effects, in which the general film shape is h=h(x,z,t). To guide the application of the equation, an example of one-dimensional...
Basic Displacement Functions (BDFs) are introduced and derived using the basic principles of structural mechanics. BDFs are then utilized to obtain new shape functions for arbitrarily curved non-uniform beams, including the effects of shear deformation and extensibility of neutral axis. The main virtue of the proposed shape functions is their susceptibility to the variations in cross-sectional area,...
The aim of this paper is to quantitatively evaluating orthodontic force system during orthodontic treatment with a numerical method. Dental cast models were made to obtain digital models with impressions of a patient’s dental arch at regular intervals. Then the displacement of each bracket for a period of time was obtained by computer aided inspection. The finite element model of archwire in free...
A phase mixture model was used to study the plastic deformation behaviors in hardening stage of nanocrystalline materials. The material was considered as a composite of grain interior phase and grain boundary (GB) phase. The constitutive equations of the two phases were determined in term of their main deformation mechanisms. In softening stage, a shear band deformation mechanism was presented and...
In this study, the fundamental problem of the biomagnetic fluid flow in a lid driven cavity under the influence of a steady localized magnetic field is studied. The mathematical model used for the formulation of the problem is consistent with the principles of Ferrohydrodynamics (FHD) and Magnetohydrodynamics (MHD). The biomagnetic fluid is considered as a homogeneous Newtonian fluid and is treated...
We present some numerical simulations of AE due to damage propagation in disordered materials under compression and bending. To this purpose, the AE cumulative number, the time frequency analysis and the statistical properties of AE time series will be numerically simulated adopting the so-called “particle method strategy” (Cundall in Proceedings ISRM Symp., Nancy, France, vol. 2, pp. 129–136, 1971)...
An analysis is carried out to study the steady two-dimensional stagnation-point flow and heat transfer of an incompressible viscous fluid over a porous shrinking sheet in the presence of thermal radiation. A set of similarity transformations reduce the boundary layer equations to a set of non-linear ordinary differential equations which are solved numerically using fourth order Runge-Kutta method...
The impact of stress on changes in magnetisation is one of the most complex issues of magnetism. Magnetic methods make use of the impact of stress on permeability, hysteresis and magnetic Barkhausen noise, which are examined with fields with a high strength and a small frequency. The paper presents an analysis of the impact of residual stress resulting from inhomogeneous plastic deformations in the...
An analysis is performed to study unsteady free convective boundary layer flow of a nanofluid over a vertical cylinder. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The governing equations are formulated and a numerical solution is obtained by using an explicit finite-difference scheme of the Crank-Nicolson type. The solutions at each time step have...
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