应用数学和力学

2010 Vol. 31, No. 12

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Analysis of Coupled Flow-Reaction With Heat Transfer in Heap Bioleaching Processes

WU Ai-xiang, LIU Jin-zhi, YIN Sheng-hua, WANG Hong-jiang

2010, 31(12): 1393-1400. doi: 10.3879/j.issn.1000-0887.2010.12.001

Abstract(2022) PDF(973)

Abstract:
A mathem aticalmodel for heap bioleaching was developed to analyze heat transfer,oxygen flow,targetions distribution and oxidation leaching rate in the heap,and the model equations were solved by Comsol Multiphysics software.The numerical simulation results show:the concentration of oxygen is compar...

Soret and Dufour Effects on Unsteady MHD Flow Past an Infinite Vertical Porous Plate With Thermal Radiation

S. R. Vempati, A. B. Laxmi-Narayana-Gari

2010, 31(12): 1401-1414. doi: 10.3879/j.issn.1000-0887.2010.12.002

Abstract(2274) PDF(926)

Abstract:
The objectives of the present study are to investigate the effect of flow parameters on free convection and mass transfer unsteady magnetohydrodynamic flow of an electrically conducting,viscous,in compressible fluid pastan infinite vertical porous plate under oscillatory suction velocity and thermal...

Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids

J. C. Umavathi, I. C. Liu, J. Prathap Kumar, D. Shaik Meera

2010, 31(12): 1415-1434. doi: 10.3879/j.issn.1000-0887.2010.12.003

Abstract(2172) PDF(872)

Abstract:
The problem of unsteady oscillatory flow and heat transfer of porousmedia sandwiched between viscous fluids through a horizontal channel with isothermal wall temperatures was considered.The flow in the porous medium was modeled using Brinkm an equation.The governing partial differential equations we...

P. Loganathan, P. Puviarasu, R. Kandasamy

2010, 31(12): 1435-1444. doi: 10.3879/j.issn.1000-0887.2010.12.004

Abstract(1958) PDF(796)

Abstract:
Combined heat and mass transfer on free,forced and mixed convection flow along a porous wedge with magnetic effect in the presence of chemical reaction was investigated.The flow field characteristics were analyzed using the Runge-Kutta Gillwith shooting method as well as the local non-similarity met...

High Accuracy Eigensolution and Its Extrapolation for Potential Equations

CHENG Pan, HUANG Jin, ZENG Guang

2010, 31(12): 1445-1453. doi: 10.3879/j.issn.1000-0887.2010.12.005

Abstract(2136) PDF(877)

Abstract:
By the potential theorem,fundamental boundary eigenproblems were converted into boundary in tegral equations (BIE) with logarithmic singularity.Mechanical quadrature methods (MQMs) were presented to obtain eigen solutions which were used to solve Laplace's equations.And the MQMs possess high accurac...

Nonconforming Finite Elements for the Equation of Planar Elasticity

YANG Yong-qin, XIAO Liu-chao, CHEN Shao-chun

2010, 31(12): 1454-1464. doi: 10.3879/j.issn.1000-0887.2010.12.006

Abstract(2224) PDF(970)

Abstract:
Two new locking-free nonconforming finite elements for the pure displacement planarela sticity problem were presented.Convergen cerates of the elements were uniformly optimal with respect to K.T he energy norm and L² norm errors were proved to be O (h²) and O (h³),respectively.La stly,numerical test...

Sensitivity Analysis of Composite Laminated Plates With Bonding Imperfection in Hamilton System

LI Ding-he, XU Jian-xin, QING Guang-hui

2010, 31(12): 1465-1475. doi: 10.3879/j.issn.1000-0887.2010.12.007

Abstract(2005) PDF(934)

Abstract:
The sensitivity analysis of composite laminated plates with bonding interfacial imperfection was investigated based on the radial point interpolation method (RPMI) in Hamilton system.A hybrid governing equations of the response and sensitivity quantities was reduced by the spring-layer model and mod...

Analysis of Coupled Thermo-Hydro-Mechanical Behavior of Unsaturated Soils Based on Theory of Mixtures Ⅰ

QIN Bing, CHEN Zheng-han, FANG Zhen-dong, SUN Shu-guo, FANG Xiang-wei, WANG Ju

2010, 31(12): 1476-1488. doi: 10.3879/j.issn.1000-0887.2010.12.008

Abstract(1904) PDF(1215)

Abstract:
An analysis of coupled thermo-hydro-mechanical behavior of unsaturated soils was presented based on theory of mixtures.Unsaturated soilw as considered as amixture composed of soil skeleton,liquidwater,vapor,dry air and dissolved air.In addition to mass and momentum conservation equations of each com...

Soliton Solution to Nonlinear Generalized Disturbed Klein-Gordon Equation

MO Jia-qi

2010, 31(12): 1489-1495. doi: 10.3879/j.issn.1000-0887.2010.12.009

Abstract(1804) PDF(1018)

Abstract:
Ageneralized nonlinear disturbed Klein-Gordon equation was considered.By using the homotopic mapping method,firstly,the corresponding homotopic mapping was constructed.Then the suitable in itial approx miation was selected,and the arbitrary order approx imate solution of the soliton was calculated.A...

Modified Domain Decomposition Method for Hamilton-Jacobi-Bellman Equations

CHEN Guang-hua, CHEN Guang-ming, DAI Zhi-hua

2010, 31(12): 1496-1502. doi: 10.3879/j.issn.1000-0887.2010.12.010

Abstract(2354) PDF(1083)

Abstract:
Amodified domain decom position method for the numerical solution of discrete Hamilton-Jacobi-Bellman equations arising from a class of optimal controls with diffusion models.The convergence theorem was estab lished.Numerical results indicate the efficiency and accuracy of the method.

Inexact Newton Method via Lanczos Decomposed Technique for Solving Box-Constrained Nonlinear Systems

ZHANG Yong, ZHU De-tong

2010, 31(12): 1504-1512. doi: 10.3879/j.issn.1000-0887.2010.12.011

Abstract(1689) PDF(744)

Abstract:
An in exact Newton methodvia Lanczos decomposed technique was proposed for solving the box-constrained nonlinear systems.The iterative direction was obtained by solving an affine scaling quadratic modelwith Lanczos decom posed technique.By using the in terior backtracking line search technique,the a...