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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
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Journal of the Korea Society for Industrial and Applied Mathematics
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Journal DOI :
The Korean Society for Industrial and Applied Mathematics
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Volume & Issues
Volume 11, Issue 4 - Dec 2007
Volume 11, Issue 3 - Sep 2007
Volume 11, Issue 2 - Jun 2007
Volume 11, Issue 1 - Mar 2007
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CONVECTION IN A HORIZONTAL POROUS LAYER UNDERLYING A FLUID LAYER IN THE PRESENCE OF NON LINEAR MAGNETIC FIELD ON BOTH LAYERS
Bukhari, Abdul-Fattah K. ; Abdullah, Abdullah A. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 11, issue 1, 2007, Pages 1~11
A linear stability analysis applied to a system consist of a horizontal fluid layer overlying a layer of a porous medium affected by a vertical magnetic field on both layers. Flow in porous medium is assumed to be governed by Darcy's law. The Beavers-Joseph condition is applied at the interface between the two layers. Numerical solutions are obtained for stationary convection case using the method of expansion of Chebyshev polynomials. It is found that the spectral method has a strong ability to solve the multilayered problem and that the magnetic field has a strong effect in his model.
Euler-Maruyama Numerical solution of some stochastic functional differential equations
Ahmed, Hamdy M. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 11, issue 1, 2007, Pages 13~30
In this paper we study the numerical solutions of the stochastic functional differential equations of the following form $$du(x,\;t)\;=\;f(x,\;t,\;u_t)dt\;+\;g(x,\;t,\;u_t)dB(t),\;t\;>\;0$$ with initial data
, and B(t) is an m-dimensional Brownian motion.
UNDERSTANDING OF NAVIER-STOKES EQUATIONS VIA A MODEL FOR BLOOD FLOW
Choi, Joon-Hyuck ; Kang, Nam-Lyong ; Choi, Sang-Don ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 11, issue 1, 2007, Pages 31~39
A pedagogic model for blood flow is introduced to help medicine majors understand a simplified version of Navier-Stokes equations which is known to be a good tool for interpreting the phenomena in blood flow. The pressure gradient consists of a time-independent part known as Hagen-Poiseuille's gradient and a time-dependent part known as Sexl's, and the model formula for the volume rate of blood flow is reduced to a very simple form. For demonstration, the blood rate in human aorta system is analyzed in connection with the time-dependence of pressure gradient. It is shown for Sexl's part that the flow rate lags the pressure gradient by
, which is thought to be due to the relaxation process involved.
MARK SEQUENCES IN 3-PARTITE 2-DIGRAPHS
Merajuddin, Merajuddin ; Samee, U. ; Pirzada, S. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 11, issue 1, 2007, Pages 41~56
A 3-partite 2-digraph is an orientation of a 3-partite multi-graph that is without loops and contains at most two edges between any pair of vertices from distinct parts. Let D(X, Y, Z) be a 3-partite 2-digraph with
. For any vertex v in D(X, Y, Z), let
denote the outdegree and indegree respectively of v. Define
as the marks (or 2-scores) of x in X, y in Y and z in Z respectively. In this paper, we characterize the marks of 3-partite 2-digraphs and give a constructive and existence criterion for sequences of non-negative integers in non-decreasing order to be the mark sequences of some 3-partite 2-digraph.
Effect of variable viscosity on combined forced and free convection boundary-layer flow over a horizontal plate with blowing or suction
Mahmoud, Mostafa A.A. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 11, issue 1, 2007, Pages 57~70
The effects of variable viscosity, blowing or suction on mixed convection flow of a viscous incompressible fluid past a semi-infinite horizontal flat plate aligned parallel to a uniform free stream in the presence of the wall temperature distribution inversely proportional to the square root of the distance from the leading edge have been investigated. The equations governing the flow are transformed into a system of coupled non-linear ordinary differential equations by using similarity variables. The similarity equations have been solved numerically. The effect of the viscosity temperature parameter, the buoyancy parameter and the blowing or suction parameter on the velocity and temperature profiles as well as on the skin-friction coefficient and the Nusselt number are discussed.
EFFECT OF PARTITION AND SPECIES DIFFUSIVITY ON DOUBLE DIFFUSIVE CONVECTION OF WATER NEAR DENSITY MAXIMUM
Sivasankaran, S. ; Kandaswamy, P. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 11, issue 1, 2007, Pages 71~83
The double diffusive convection of cold water in the vicinity of its density maximum in a rectangular partitioned enclosure of aspect ratio 5 with isothermal side walls and insulated top and bottom is studied numerically. A thin partition is attached to the hot wall. The species diffusivity of the fluid is assumed to vary linearly with concentration. The governing equations are solved by finite difference scheme. The effects of position and height of the partition, variable species diffusivity and enclosure width are analyzed for various hot wall temperatures. It has been found that adding partition on the hot wall reduces the heat transfer. The density inversion of the water has a great influence on the natural convection. When increasing species diffusivity parameter heat and mass transfer rate is decreased.
Existence Results for First Order Impulsive Functional Differential Equations in Banach Spaces
Arjunan, M.Mallika ; Anguraj, A. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 11, issue 1, 2007, Pages 85~93
In this paper we prove the existence of mild solutions of a first order impulsive initial value problems for functional differential equations in Banach spaces. The results are obtained by using the Lerey-Schauder nonlinear alternative fixed point theorem.
NUMERICAL SOLUTION FOR WOOD DRYING ON ONE-DIMENSIONAL GRID
Lee, Yong-Hun ; Kang, Wook ; Chung, Woo-Yang ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 11, issue 1, 2007, Pages 95~105
A mathematical modeling for the drying process of hygroscopic porous media, such as wood, has been developed in the past decades. The governing equations for wood drying consist of three conservation equations with respect to the three state variables, moisture content, temperature and air density. They are involving simultaneous, highly coupled heat and mass transfer phenomena. In recent, the equations were extended to account for material heterogeneity through the density of the wood and via the density variation of the material process, capillary pressure, absolute permeability, bound water diffusivity and effective thermal conductivity. In this paper, we investigate the drying behavior for the three primary variables of the drying process in terms of control volume finite element method to the heterogeneous transport model on one-dimensional grid.