Two-dimensional analysis using one-dimensional FEM for straight-crested waves in arbitrary anisotropic crystal plates and axisymmetric piezoelectric vibrations in ceramic disks

1996 ◽  
Vol 43 (5) ◽  
pp. 811-817 ◽  
Author(s):  
A. Ishizaki ◽  
H. Sekimoto
Keyword(s):  
Dimensional Analysis ◽  
Two Dimensional ◽  
Anisotropic Crystal ◽  
One Dimensional

scholarly journals Water storage in wetted strips under irrigated coffee trees with different criteria of irrigation management

2013 ◽  
Vol 33 (2) ◽  
pp. 249-257 ◽  
Author(s):  
Alberto Colombo ◽  
Lívia A. Alvarenga ◽  
Myriane S. Scalco ◽  
Randal C. Ribeiro ◽  
Giselle F. Abreu
Keyword(s):  
Dimensional Analysis ◽  
Drip Irrigation ◽  
Irrigation Management ◽  
Water Storage ◽  
Moisture Distribution ◽  
Water Volume ◽  
Two Dimensional ◽  
One Dimensional ◽  
Irrigation Interval ◽  
The One

The increasing demand for water resources accentuates the need to reduce water waste through a more appropriate irrigation management. In the particular case of irrigated coffee planting, which in recent years presented growth with the predominance of drip irrigation, the improvement of drip irrigation management techniques is a necessity. The proper management of drip irrigation depends on the knowledge of the spatial pattern of soil moisture distribution inside the wetted strip formed under the irrigation lines. In this study, grids of 24 tensiometers were used to determine the water storage within the wetted strip formed under drippers, with a 3.78 L h-1 discharge, evenly spaced by 0.4 m, subjected to two different management criteria (fixed irrigation interval and 60 kPa tension). Estimates of storage based on a one-dimensional analysis, that only considers depth variations, were compared with two-dimensional estimates. The results indicate that for high-frequency irrigation the one-dimensional analysis is not appropriate. However, under less frequent irrigation, the two-dimensional analysis is dispensable, being the one-dimensional sufficient for calculating the water volume stored in the wetted strip.

Preliminary Ship Design Using One and Two-Dimensional Models

1999 ◽  
Vol 36 (02) ◽  
pp. 102-112
Author(s):  
Michael D. A. Mackney ◽  
Carl T. F. Ross
Keyword(s):  
Finite Element ◽  
Dimensional Analysis ◽  
Three Dimensional ◽  
Two Dimensional ◽  
One Dimensional ◽  
Dimensional Finite Element ◽  
Dimensional Models ◽  
Support Conditions ◽  
The One ◽  
Three Dimensional Finite Element

Computational studies of hull-superstructure interaction were carried out using one-, two-and three-dimensional finite element analyses. Simplification of the original three-dimensional cases to one- and two-dimensional ones was undertaken to reduce the data preparation and computer solution times in an extensive parametric study. Both the one- and two-dimensional models were evaluated from numerical and experimental studies of the three-dimensional arrangements of hull and superstructure. One-dimensional analysis used a simple beam finite element with appropriately changed sections properties at stations where superstructures existed. Two-dimensional analysis used a four node, first order quadrilateral, isoparametric plane elasticity finite element, with a corresponding increase in the grid domain where the superstructure existed. Changes in the thickness property reflected deck stiffness. This model was essentially a multi-flanged beam with the shear webs representing the hull and superstructure sides, and the flanges representing the decks One-dimensional models consistently and uniformly underestimated the three-dimensional behaviour, but were fast to create and run. Two-dimensional models were also consistent in their assessment, and considerably closer in predicting the actual behaviours. These models took longer to create than the one-dimensional, but ran in very much less time than the refined three-dimensional finite element models Parametric insights were accomplished quickly and effectively with the simplest model and processor, but two-dimensional analyses achieved closer absolute measure of the displacement behaviours. Although only static analysis with simple loading and support conditions were presented, it is believed that similar benefits would be found for other loadings and support conditions. Other engineering components and structures may benefit from similarly judged simplification using one- and two-dimensional models to reduce the time and cost of preliminary design.

Two-Dimensional Analysis of Conduction-Controlled Rewetting With Precursory Cooling

1976 ◽  
Vol 98 (3) ◽  
pp. 407-413 ◽  
Author(s):  
S. S. Dua ◽  
C. L. Tien
Keyword(s):  
Heat Transfer ◽  
Heat Transfer Coefficient ◽  
Transfer Coefficient ◽  
Dimensional Analysis ◽  
Vertical Surface ◽  
Dimensionless Temperature ◽  
Two Dimensional ◽  
Dimensional Solution ◽  
One Dimensional ◽  
The One

This paper presents a two-dimensional analysis of the effect of precursory cooling on conduction-controlled rewetting of a vertical surface, whose initial temperature is higher than the sputtering temperature. Precursory cooling refers to the cooling caused by the droplet-vapor mixture in the region immediately ahead of the wet front, and is described mathematically by two dimensionless constants which characterize its magnitude and the region of influence. The physical model developed to account for precursory cooling consists of an infinitely extended vertical surface with the dry region ahead of the wet front characterized by an exponentially decaying heat flux and the wet region behind the moving film-front associated with a constant heat transfer coefficient. Apart from the two dimensionless constants describing the extent of precursory cooling, the physical problem is characterized by three dimensionless groups: the Peclet number or the dimensionless wetting velocity, the Biot number and a dimensionless temperature. Limiting solutions for large and small Peclet numbers have been obtained utilizing the Wiener-Hopf technique coupled with appropriate kernel substitutions. A semiempirical matching relation is then devised for the entire range of Peclet numbers. Existing experimental data with variable flow rates at atmospheric pressure are very closely correlated by the present model. Finally a comparison is drawn between the one-dimensional limit of the present analysis and the corresponding one-dimensional solution obtained by treating the dry region ahead of the wet front characterized by an exponentially decaying heat transfer coefficient.

Numerical Analysis of Interaction Between Plasma Jet and Flame in Supersonic Flow

2002 ◽  
Author(s):  
Kenichi Takita
Keyword(s):  
Numerical Analysis ◽  
Supersonic Flow ◽  
Dimensional Analysis ◽  
Plasma Torch ◽  
Burning Velocity ◽  
Three Dimensional ◽  
Plasma Jet ◽  
Two Dimensional ◽  
Flame Spreading ◽  
One Dimensional

The ability of a plasma torch as an igniter in a supersonic flow for new engines was analyzed in various ways such as zero-dimensional analysis of ignition delay, one-dimensional analysis of burning velocity, and two-dimensional analysis of ignition phenomena with full chemistry, and so on. Problems in those analyses for accurate prediction of the performance of the plasma torch were herein discussed. The two-dimensional analysis was sufficient only for the ignition phenomena of the plasma torch. However, three-dimensional analysis is needed for simulations of flame spreading and flame-holding around the plasma jet after ignition.

Analysis of Two-Dimensional Motion Resisted by Coulomb Friction

1963 ◽  
Vol 85 (1) ◽  
pp. 17-26 ◽  
Author(s):  
T. P. Goodman
Keyword(s):  
Experimental Data ◽  
Dimensional Analysis ◽  
Relative Motion ◽  
Dry Friction ◽  
Coulomb Friction ◽  
Two Dimensional ◽  
One Dimensional ◽  
Sliding Motion ◽  
Coulomb Dry Friction ◽  
Unidirectional Motion

The effect of Coulomb (dry) friction between surfaces of adjacent machine members, either in preventing relative sliding motion or in absorbing energy when relative motion does occur, has traditionally been analyzed on a one-dimensional basis. The two-dimensional analysis presented in this paper shows how the effectiveness of Coulomb friction in preventing relative sliding motion is greatly reduced by eccentric loading, and how the effectiveness of Coulomb friction in absorbing the energy of an oscillation may be greatly reduced by the addition of a second oscillatory or unidirectional motion. The results of the analysis are correlated with experimental data.

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