2011 Vol. 32, No. 12

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Similarity Research of Anomalous Dynamic Response of Ship Girder Subjected to Near Field Underwater Explosion
ZHANG Zhen-hua, WANG Yu, ZHANG Li-jun, YUAN Jian-hong, ZHAO Hai-feng
2011, 32(12): 1391-1404. doi: 10.3879/j.issn.1000-0887.2011.12.001
Abstract(1960) PDF(750)
Abstract:
The final anomalous sag distortion of ship girder subjected to near field underwater explosion (undex) below the middle ship was researched. Firstly, the sinking exercises of Spruance class destroyer DD973 sunk by one MK48 torpedo was presented and the simulation model was established. The exponenti...
Mechanical Quadrature Methods and Extrapolation for Solving Nonlinear Boundary Integral Equations of Helmholtz Equation
CHENG Pan, HUANG Jin, WANG Zhu
2011, 32(12): 1405-1414. doi: 10.3879/j.issn.1000-0887.2011.12.002
Abstract(2067) PDF(835)
Abstract:
Mechanical quadrature methods(MQMs) for solving nonlinear boundary integral equations of Helmholtz equation, which possessed high accuracy order O (h3) and low computing complexities, were presented. Moreover, the mechanical quadrature methods were simple without computing any singular integration. ...
Momentum Equation for a Straight Electrically Charged Jet
ZHANG Ruo-jing, HOU Rui-hong, CHAN Cheong-ki
2011, 32(12): 1415-1423. doi: 10.3879/j.issn.1000-0887.2011.12.003
Abstract(1989) PDF(799)
Abstract:
A one-dimensional momentum conservation equation for a straight jet driven by an electrical field was developed. It was presented in terms of the stress component, which could be applied to any constitutive relation of fluids, and the only assumption was that the fluid was incompressible. Our result...
Two-Scale Finite Element Method for Piezoelectric Problem in Periodic Structure
DENG Ming-xiang, FENG Yong-ping
2011, 32(12): 1424-1438. doi: 10.3879/j.issn.1000-0887.2011.12.004
Abstract(2073) PDF(766)
Abstract:
The prediction of the mechanical and electric properties of piezoelectric fibre composites had become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element method for solutions of the electric potential and the displacem...
Laguerre-Gauss Collocation Method for Initial Values Problems of Second Order ODEs
YAN Jian-ping, GUO Ben-yu
2011, 32(12): 1439-1460. doi: 10.3879/j.issn.1000-0887.2011.12.005
Abstract(2156) PDF(867)
Abstract:
Numerical method for initial value problems of second order ordinary differential equations was investigated. The new collocation method based on the Laguerre-Gauss interpolation was designed, which was very easy to be carried out, especially for nonlinear problems. The convergence was analyzed for ...
Rotor Wake Capture Improvement Based on High Order Spatially Accurate Schemes and Chimera Grids
XU Li, WENG Pei-fen
2011, 32(12): 1461-1471. doi: 10.3879/j.issn.1000-0887.2011.12.006
Abstract(1738) PDF(730)
Abstract:
A high-order upwind scheme was developed to capture vortex wake of a helicopter rotor in hover based on chimera grids. An improved fifth-order weighted essentially non-oscillatory (WENO) scheme was adopted to interpolate higher-order left and right states across a cell interface with the Roe Riemann...
Boundary-Layer Non-Newtonian Flow Over a Vertical Plate in a Porous Medium Saturated With a Nanofluid
F. M. Hady, F. S. Ibrahim, S. M. Abdel-Gaied, M. R. Eid
2011, 32(12): 1472-1480. doi: 10.3879/j.issn.1000-0887.2011.12.007
Abstract(2127) PDF(817)
Abstract:
The free convective heat transfer to the power-law non-Newtonian from a vertical plate in a porous medium saturated with nanofluid under laminar conditions was investigated. It was considered that the non-Newtonian nanofluid obeys the mathematical model of power-law. The model used for the nanofluid...
Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition
Dharmendra Tripathi, M. K. Chaube, P. K. Gupta
2011, 32(12): 1481-1493. doi: 10.3879/j.issn.1000-0887.2011.12.008
Abstract(2037) PDF(848)
Abstract:
The Stokes flow of micro-polar fluids by peristaltic pumping through the cylindrical tube under the effect of slip boundary condition was studied. The motion of wall was governed by the sinusoidal wave equation. Analytical and numerical solutions for axial velocity, micro-polar vector, stream functi...
Mixed Convection Boundary Layer Flow Near the Stagnation Point on a Vertical Surface With Slip
Fazlina Aman, Anuar Ishak, Ioan Pop
2011, 32(12): 1494-1500. doi: 10.3879/j.issn.1000-0887.2011.12.009
Abstract(1863) PDF(796)
Abstract:
A steady mixed convection boundary layer flow of a viscous and incompressible fluid near the stagnation point on a vertical surface with slip effect at the boundary was considered. The temperature of the sheet and the velocity of the external flow were assumed to vary linearly with the distance from...
Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations
M. Nadjafikhah, R. Bakhshandeh Chamazkoti, F. Ahangari
2011, 32(12): 1501-1508. doi: 10.3879/j.issn.1000-0887.2011.12.010
Abstract(1501) PDF(680)
Abstract:
Based on Lie group method, potential symmetry and invariant solutions for generalized quasilinear hyperbolic equations were studied. To obtain the invariant solutions in explicit form, the physically interesting situations which admit potential symmetries were studied. Then by using the partial Lagr...
Bifurcations of Traveling Wave Solutions and Exact Solutions of Generalized Zakharov Equation and Ginzburg-Landau Equation
DAI Zhen-xiang, XU Yuan-fen
2011, 32(12): 1509-1516. doi: 10.3879/j.issn.1000-0887.2011.12.011
Abstract(1717) PDF(971)
Abstract:
Some exact traveling wave solutions were found of generalized Zakharov equation and GinzburgLandau equation. What are the dynamical behavior of these traveling wave solutions and how do they depend on the parameters of the systems? These questions by using the method of dynamical systems were answer...