2012 Vol. 33, No. 3

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Conduction-Radiation Effect on Transient Natural Convection Along a Vertical Flat Surface With Thermophoresis
S.Mustafa Mahfooz, Md.Anwar Hossain
2012, 33(3): 265-279. doi: 10.3879/j.issn.1000-0887.2012.03.001
Abstract(1844) PDF(771)
Abstract:
The present paper concerns with the effect of thermophoretic particle deposition on the transient natural convection laminar flow along a vertical flat surface which was immersed in an optically dense gray fluid in the presence of thermal radiation. In the analysis the radiative heat flux term was e...
Three Dimensional Channel Flow of Second Grade Fluid in a Rotating Frame
Saira Hussnain, Ahmer Mehmood, Asif Ali
2012, 33(3): 280-291. doi: 10.3879/j.issn.1000-0887.2012.03.002
Abstract(1675) PDF(917)
Abstract:
An analysis was performed for hydromagnetic second grade fluid flow between two horizontal plates in a rotating system in the presence of magnetic field. The lower sheet was considered to be a stretching sheet and the upper was a porous solid plate. By using suitable transformations the equations of...
Unsteady Natural Convection Couette Flow of Heat Generating/Absorbing Fluid Between Vertical Parallel Plates Filled With Porous Material
Basant K.Jha, Muhammad K.Musa
2012, 33(3): 292-302. doi: 10.3879/j.issn.1000-0887.2012.03.003
Abstract(1596) PDF(715)
Abstract:
The extended Brinkman Darcy model for momentum equation, and an energy equation were used to calculate the unsteady natural convection Couette flow of a viscous incompressible heat generating/absorbing fluid in a vertical channel (formed by two infinite vertical parallel plates) filled with fluidsa...
Peristaltic Transport of a Rheological Fluid: Model for Movement of Food Bolus Through Esophagus
J.C.Misra, S.Maiti
2012, 33(3): 303-319. doi: 10.3879/j.issn.1000-0887.2012.03.004
Abstract(2200) PDF(991)
Abstract:
Fluid mechanical peristaltic transport through esophagus had been of concern. A mathematical model had been developed with an aim to study the peristaltic transport of a rheological fluid for arbitrary wave shapes and tube lengths. The Ostwald-de Waele power law of viscous fluid was considered here ...
Importance of Aging to the Dehydration Shrinkage of Human Dentin
WANG Rao-rao, MAO Shuang-shuang, Elaine Romberg, Dwayne Arola, ZHANG Dong-sheng
2012, 33(3): 320-331. doi: 10.3879/j.issn.1000-0887.2012.03.005
Abstract(1795) PDF(786)
Abstract:
There was an increase in the mineral content of human dentin with aging. Due to the consequent changes in mineral to collagen ratio, this process may influence the degree of hydrogen bonding that occurs with loss of water and the extent of shrinkage as a result of dehydration. Thus, the objective of...
Natural Frequency of Rotating Functionally Graded Cylindrical Shells
2012, 33(3): 332-341. doi: 10.3879/j.issn.1000-0887.2012.03.006
Abstract(2208) PDF(966)
Abstract:
Love’s first approximation theory was used to analyze the natural frequency of rotating functionally graded cylindrical shell. In order to verify the validity of the present method, natural frequencies of the simply supported nonrotating isotropic cylindrical shell and functionally graded cylindric...
Fracture Analysis of a Mode-ⅡCrack Perpendicular to an Imperfect Bimaterial Interface
ZHONG Xian-ci, ZHANG Ke-shi
2012, 33(3): 342-352. doi: 10.3879/j.issn.1000-0887.2012.03.007
Abstract(1969) PDF(986)
Abstract:
The problem of a mode-II crack close to and perpendicular to an imperfect interface of two bonded dissimilar materials was investigated. The imperfect interface was modelled by a linear spring with vanishing thickness. The Fourier transform was applied to solve the boundaryvalue problem, then to de...
On the Non-Existence of Shilnikov Chaos in Continuous-Time Systems
Zeraoulia Elhadj, J.C.Sprott
2012, 33(3): 353-356. doi: 10.3879/j.issn.1000-0887.2012.03.008
Abstract(1578) PDF(790)
Abstract:
A non-existence condition for homoclinic and heteroclinic orbits in n-dimensional, continuous-time, smooth systems was obtained. Based on this result, and using an elementary example, it was conjectured that there was a fourth kind of chaos in polynomial ODE systems characterized by the nonexistenc...
Preconditioned Iterative Methods for Solving Weighted Linear Least Squares Problems
SHEN Hai-long, SHAO Xin-hui, ZHANG Tie
2012, 33(3): 357-365. doi: 10.3879/j.issn.1000-0887.2012.03.009
Abstract(1563) PDF(844)
Abstract:
The preconditioned iterative methods for solving linear systems based on a class of weighted linear least square problems were proposed, which were the preconditioned generalized accelerated overrelaxation (GAOR) methods. Some convergence and comparison results were obtained. The comparison results ...
Completeness of the System of Root Vectors of Upper Triangular Infinite Dimensional Hamiltonian Operators Appearing in Elasticity Theory
WANG Hua, Alatancang, HUANG Jun-jie
2012, 33(3): 366-378. doi: 10.3879/j.issn.1000-0887.2012.03.010
Abstract(1808) PDF(918)
Abstract:
A class of upper triangular infinite dimensional Hamiltonian operators appearing in elasticity theory was dealt with. The geometric multiplicity and algebraic index of the eigenvalue were investigated, then further the algebraic multiplicity of the eigenvalue was obtained. Based on these properties,...