Comment on ‘‘Bifurcations from periodic solution in a simplified model of two‐dimensional magnetoconvection,’’ by N. Bekki and T. Karakisawa [Phys. Plasmas 2, 2945 (1995)]

1996 ◽  
Vol 3 (6) ◽  
pp. 2475-2476 ◽  
Author(s):  
E. Knobloch ◽  
M. R. E. Proctor ◽  
A. M. Rucklidge ◽  
N. O. Weiss
Keyword(s):  
Periodic Solution ◽  
Simplified Model ◽  
Two Dimensional

scholarly journals Effect of buried depth on thermal performance of a vertical U-tube underground heat exchanger

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 327-330
Author(s):  
Li Yang ◽  
Bo Zhang ◽  
Jiří Jaromír Klemeš ◽  
Jie Liu ◽  
Meiyu Song ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Heat Exchanger ◽  
Fluid Velocity ◽  
Three Dimensional ◽  
Simplified Model ◽  
Two Dimensional ◽  
Construction Sites ◽  
Full Size ◽  
Unit Depth ◽  
Research Show

Abstract Many researchers numerically investigated U-tube underground heat exchanger using a two-dimensional simplified pipe. However, a simplified model results in large errors compared to the data from construction sites. This research is carried out using a three-dimensional full-size model. A model validation is conducted by comparing with experimental data in summer. This article investigates the effects of fluid velocity and buried depth on the heat exchange rate in a vertical U-tube underground heat exchanger based on fluid–structure coupled simulations. Compared with the results at a flow rate of 0.4 m/s, the results of this research show that the heat transfer per buried depth at 1.0 m/s increases by 123.34%. With the increase of the buried depth from 80 to 140 m, the heat transfer per unit depth decreases by 9.72%.

scholarly journals Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses

2007 ◽  
Vol 2007 ◽  
pp. 1-15 ◽  
Author(s):  
Weibing Wang ◽  
Jianhua Shen ◽  
Juan J. Nieto
Keyword(s):  
Periodic Solution ◽  
Functional Response ◽  
Impulsive Effect ◽  
Two Dimensional ◽  
Stable Periodic Solution ◽  
Predator Prey ◽  
Prey System ◽  
Stable Periodic ◽  
Holling Type Functional Response

We considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions for the permanence of the system and for the existence of a unique stable periodic solution are obtained.

Statistical properties of Rayleigh waves due to scattering by topography

1967 ◽  
Vol 57 (1) ◽  
pp. 83-90
Author(s):  
J. A. Hudson ◽  
L. Knopoff
Keyword(s):  
Surface Waves ◽  
Rayleigh Waves ◽  
Seismic Noise ◽  
Forward Scattering ◽  
Statistical Properties ◽  
Body Waves ◽  
Simplified Model ◽  
Two Dimensional ◽  
Especial Reference ◽  
The Earth

abstract The two-dimensional problems of the scattering of harmonic body waves and Rayleigh waves by topographic irregularities in the surface of a simplified model of the earth are considered with especial reference to the processes of P-R, SV-R and R-R scattering. The topography is assumed to have certain statistical properties; the scattered surface waves also have describable statistical properties. The results obtained show that the maximum scattered seismic noise is in the range of wavelengths of the order of the lateral dimensions of the topography. The process SV-R is maximized over a broader band of wavelengths than the process P-R and thus the former may be more difficult to remove by selective filtering. An investigation of the process R-R shows that backscattering is much more important than forward scattering and hence topography beyond the array must be taken into account.

scholarly journals Dineutron correlations in quasi-two-dimensional systems in a simplified model, and possible relation to neutron-rich nuclei

2009 ◽  
Vol 79 (5) ◽  
Author(s):  
Yoshiko Kanada-En'yo ◽  
Nobuo Hinohara ◽  
Tadahiro Suhara ◽  
Peter Schuck
Keyword(s):  
Simplified Model ◽  
Two Dimensional

NON-LINEAR DYNAMIC ANALYSIS OF THE TWO-DIMENSIONAL SIMPLIFIED MODEL OF AN ELASTIC CABLE

2002 ◽  
Vol 255 (1) ◽  
pp. 43-59 ◽  
Author(s):  
Y.Y. ZHAO ◽  
L.H. WANG ◽  
D.L. CHEN ◽  
L.Z. JIANG
Keyword(s):  
Dynamic Analysis ◽  
Simplified Model ◽  
Two Dimensional ◽  
Linear Dynamic ◽  
Non Linear

Coordinate Analysis of Articulated Needle while Being Steered

2014 ◽  
Vol 533 ◽  
pp. 60-63
Author(s):  
Yi Zhong Wang ◽  
Xiao Qiang Zhao ◽  
Yong Hong Wu ◽  
Ting Wei Niu ◽  
Qiao Jun Liu ◽  
...  
Keyword(s):  
Minimally Invasive Surgery ◽  
Minimally Invasive ◽  
Invasive Surgery ◽  
Theoretical Basis ◽  
Three Dimensional ◽  
Diagnosis And Treatment ◽  
Simplified Model ◽  
Two Dimensional ◽  
Navigation Accuracy

In minimally invasive surgery, needle is one of the most common devices that used to conduct different diagnosis and treatment tasks. In this paper, coordinates of articulated needle while being steered are studied. After analyzing bending directions, a simplified model of articulated needle is established. Accordingly, formulas for calculating the coordinates of important points in an articulated needle are got in both two dimensional and three dimensional spaces. By providing a theoretical basis for the steering of an articulated needle, its navigation accuracy can be improved.

A simplified model for two-dimensional overland flows

1992 ◽  
Vol 15 (2) ◽  
pp. 133-141 ◽  
Author(s):  
Rao.S. Govindaraju ◽  
M.Levent Kavvas ◽  
G. Tayfur
Keyword(s):  
Simplified Model ◽  
Two Dimensional ◽  
Overland Flows

scholarly journals A theory of ice-sheet surges

1998 ◽  
Vol 44 (146) ◽  
pp. 104-118 ◽  
Author(s):  
A. C. Fowler ◽  
E. Schiavi
Keyword(s):  
Numerical Solution ◽  
Water Pressure ◽  
Ice Sheet ◽  
Simple Theory ◽  
Simplified Model ◽  
Two Dimensional ◽  
Basal Ice ◽  
Sophisticated Model

AbstractA simplified model of a two-dimensional ice sheet is described. It includes basal ice sliding dependent, on the basal water pressure, which itself is described by a simple theory of basal drainage. We show that this simple but sophisticated model predicts surges of the ice mass in realistic circumstances, and we describe these surges by solving the problem numerically. We also are able to describe some parts of the surge analytically. The numerical solution of the model is a delicate matter, and highlights pitfalls to be avoided if more complicated models are to be solved successfully.

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