Traction data analysis with the traction prediction equation

The assumption of “zero true slippage at zero net traction” by Upadhyaya has given rise to a heated argument of wide interest for ISTVS engineers. This article discusses this argument. Using the traction prediction equations presented by Upadhyaya, traction data obtained from experiments with a 4WD tractor in tilled Kanto loam soil were analyzed. It was impossible to evaluate the unique values for all the parameters of the traction prediction equations independently. We proposed a regression model by reforming Upadhyaya's equations, and the regression model fitted well with the traction data plotted. Implications of a zero condition in the traction data analysis are also discussed.     

Steady-state analysis of multibody systems with reference to vehicle dynamics

This paper presents a systematic methodology and formulation for determining the steady-state response of multibody systems. The equations of motion for a general multibody system are described in terms of a set of relative joint accelerations. Then, the differential equations of motion are converted to a set of algebraic equations for the steady-state response. These equations are derived based upon a set of conditions that must exist for the steady state. The application of this formulation in determining the steady-state response of a vehicle moving in a circular path is shown. The multibody model of the vehicle for two- or four-wheel steering is presented. The results of the steady-state simulation are compared with those obtained from a transient dynamic analysis.     

Sensitivity analysis applied to a variational data assimilation of a simulated pollution transport problem

Understanding the impact of the changes in pollutant emission from a foreign region onto a target region is a key factor for taking appropriate mitigating actions. This requires a sensitivity analysis of a response function (defined on the target region) with respect to the source(s) of pollutant(s). The basic and straightforward approach to sensitivity analysis consists of multiple simulations of the pollution transport model with variations of the parameters that define the source of the pollutant. A more systematic approach uses the adjoint of the pollution transport model derived from applying the principle of variations. Both approaches assume that the transport velocity and the initial distribution of the pollutant are known. However, when observations of both the velocity and concentration fields are available, the transport velocity and the initial distribution of the pollutant are given by the solution of a data assimilation problem. As a consequence, the sensitivity analysis should be carried out on the optimality system of the data assimilation problem, and not on the direct model alone. This leads to a sensitivity analysis that involves the second‐order adjoint model, which is presented in the present work. It is especially shown theoretically and with numerical experiments that the sensitivity on the optimality system includes important terms that are ignored by the sensitivity on the direct model. The latter shows only the direct effects of the variation of the source on the response function while the first shows the indirect effects in addition to the direct effects. Copyright © 2016 John Wiley & Sons, Ltd.     

Construction and theoretical analysis of a direct-reading hot-wire vacuum gauge with zero point control

Summary A hot-wire vacuum gauge connected to a special bridge (fig. 2), indifferent to voltage fluctuations or changes in the temperature of the surroundings, is described. The balance point of the bridge can be controlled independently of the actual gas pressure in the vacuum system. The heating current is adjusted in the region of maximum sensitivity for very low pressures. The instrument has been calibrated from 10^–5 up to 0.1 mm Hg. Calibration curves for air, hydrogen, helium and argon are shown (fig. 6 and 7).A theoretical analysis of the gauge-bridge assembly is given. The calculated total sensitivity at very low pressures as a function of the heating current appeared to be in fair agreement with the experimental results (fig. 5). The calibration curve for air could be computed on the basis of a theoretical formula, assuming that the thermal conductivity of air remains directly proportional to the pressure in the whole region investigated. Factors, determining the pressure sensitivity of a gauge-bridge combination, are discussed.Communication of the Research Department of the N.V. KEMA at Arnhem     

Similarity analysis of axisymmetric free convection on a horizontal infinite plate subject to a mixed thermal boundary condition in a micropolar fluid

Similarity analysis of the problem of axisymmetric free convection on a horizontal infinite plate of a micropolar fluid is considered assuming that the plate is subjected to a mixed thermal boundary condition. It is shown that the thermal boundary condition is characterized by a positive parameter m and the two cases of m = 0 and m = 1 correspond to prescribed plate temperature and prescribed surface heat flux respectively. If one has to compute the heat transfer coefficient for various values of m, there is no need to solve the boundary value problem every time; it is enough to solve a certain polynomial equation provided the solution is known for any particular value of m. Received on 3 November 1998     

Oscillations of a wedge in a free stream with particular reference to parachutes

The phenomenon of coupled breathing and longitudinal oscillations of a wedge-mass system in a free stream is examined. As a first step the unsteady pressure distribution on the surface of the oscillating wedge is calculated. For dynamic equilibrium of the wedge-mass system, the moment about the apex of the wedge must be zero. This condition establishes the amplitude and phase relation between breathing and longitudinal oscillations. As a final step the equation of motion of the store is used to calculate the frequency of the breathing oscillations. This frequency is shown to be dependent on four parameters. These parameters include the Froude number, the rigging line length to wedge breadth ratio and the rigging line stiffness and damping. Current results are compared with Hume and Stevens [1] experimental results.     

Flame spread over a thermally-thin solid fuel in zero gravity

An analysis of flame spreading over a thin solid fuel in zero-gravity environment is presented. The mathematical model includes two-dimensional Navier-Stokes' momentum, energy and species equations with a one-step overall chemical reaction. The fuel consumption rate is described by a second-order Arrhenius kinetics. The energy balance along the solid fuel consists of the conduction, convection and radiation. The surface radiative loss is found to be the dominant factor for flame extinction in the low oxygen mass fraction regime. The computed flame spread rate and standoff distance are in agreement with the experimental measurements by Olson [2]. The flame spread rate, the flame size and the solid pyrolysis length become greater as the oxygen mass fraction increases, but the standoff distance shows an opposite trend. The flame structures are illustrated graphically showing the interaction between the flow and thermal fields and the multidimensional feature in the flame front.     

DISTRIBUTION OF RANDOM ELEMENTS SUBJECTED TO A FLEXIBLE BOUNDARY CONDITION

The probability distribution function of n random elements subjected to the flexible boundary condition is derived. The probability density is a descending curve and converges to a delta function as n tends to infinity. The distribution of the minimum value is discussed in context of ordered statistics.     

Hydrothermal analysis of hybrid nanofluid flow on a vertical plate by considering slip condition

Hybrid nanofluids have attracted burgeoning attention owing to their outstanding capacity to improve heat transfer. The influence of velocity and temperature slip parameter and nanoparticls' (NPs') volume fraction on a vertical plate in the existence of suction has been explored in this work. The investigation's controlling partial differentiation equations were transformed into a conventional differential equation mechanism using resemblance modifications. Equations were then solved employing the fifth-order Runge-Kutta method. The skin coefficient of friction, temperature, and temperature gradient all rise when the volume percentage of NPs increases from 0 to 2%. Furthermore, a rise in the temperature slip variable was linked to a drop in the Nusselt number (heat transfer).The Nusselt number increased 0.15% and 5.63% respectively when the velocity slip parameter enhanced from 0 to 5 and the NPs volume percentage were increased from 0 to 1.5%. Furthermore, an increase in the temperature slip from 0 to 3 inflated the x-direction skin friction coefficient 8.2%, while inflation in the velocity slip from 0 to 5 was associated with a decline in the x-direction skin friction coefficient 95%.     

Dynamic analysis of interacting coplanar cracks in a half space with a clamped boundary condition using boundary integral equations

The three-dimensional dynamic problem of coplanar circular cracks in an elastic half-space with a clamped boundary condition is considered. The crack faces are subjected to harmonic loads. The problem is reduced to a system of two-dimensional boundary integral equations of the type of the Helmholtz potential for unknown discontinuities in the displacements of the opposite faces of the cracks. The stress intensity factors at the crack contours are obtained and discussed.Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 1, pp. 153–159, January–February, 2005     

Stability of a melt/solid interface with reference to a plume channel

The structure of free-convection flow in a plume channel formed as a result of melting above a local heat source placed on the basement of a solid mass is experimentally investigated. The channel shape and the flow pattern in it are functions of the relative power Ka = N/N ₁, where N is the plume source power and N ₁ is the heat removed to the surrounding mass. When the heat is withdrawn from the plume channel by heat conduction, the channel represents a system of convective cells on whose boundaries there are channel constrictions. The temperature fields and the cell flow patterns are investigated. For mantle plumes, such as the Hawaiian, Iceland, and Bouvet plumes and extended igneous provinces, the basement diameter and the values of the criterion Ka are determined.     

A decoupled modal analysis for nonlinear dynamics of an orthotropic thin laminate in a simply supported boundary condition subject to thermal mechanical loading

In this paper, we analyze the nonlinear dynamic response of an orthotropic laminate in a simply supported boundary condition subject to thermal and mechanical loading. The equation of motion for the laminate’s deflection is obtained in a decoupled Duffing equation by means of a Galerkin-type method without Berger’s approximations. The Duffing equation incorporates an arbitrary thermal field, with both the in-plane and transverse temperature variations in a steady-state and a transient state. The formulation indicates that the transverse temperature variation produces an additional pressure load, while the in-plane temperature variation affects the system frequency. The equation allows for characterization of the laminate behaviors in nonlinear thermal buckling, thermal vibration and thermal mechanical response.     

Dynamics of an electrified confined planar jet in a zero gravity environment

Meccanica - The present work deals with temporal electro-aerodynamics instability properties of an inviscid confined planar jet in a zero gravity environment and the existence of electric field....     

Stability criteria of an immersed annulus swirling jet in a zero gravity environment

The present work deals with the stability properties of an immersed annulus swirling jet in a zero gravity environment. The considered system is composed of two streaming coaxial fluid cylinders, embedded in a third streaming fluid, where the intermediate one (annulus) has a uniform swirl speed. The fluids are immiscible, inviscid, and incompressible. The linear stability criteria of the model are discussed analytically and stability diagrams are obtained. We conclude that the radii ratio, the Weber number and the swirl number play a significant role in determining the dynamics of the developing interfacial patterns.     

Instrument noise and weighting factors in data analysis

The presence of random instrument noise is shown to be a cause of error in the data analysis if two conditions are satisfied: a weighting scheme must be used to interpret the collected data, and the value of the weighting factor must be dependent on a measured variable. The mathematical source of this error is derived for a general noise signal, variable, and source distribution. A detailed example as might be applied to a real system is included to show the expected magnitude and trends of the generated error terms.