Showing papers in "Applied Mathematical Modelling in 1996"

TL;DR: In this paper, the forgetting slope is shown to be mathematically dependent on the following factors: 1) the learning slope, 2) the quantity produced to date, and 3) the minimum break at which total forgetting occurs.

TL;DR: In this article, the authors review some of the recent developments in the mathematical modelling of microwave heating, including models that consider in isolation the heat equation with a nonlinear source term, in which case the electric-field amplitude is assumed constant, models involving the coupling between the electric field amplitude and temperature, and also models that control the process of thermal runaway.

TL;DR: The irregular control volume (ICV) as mentioned in this paper is a cell-centered solution procedure based upon the conventional control or finite volume (CV or FV) approach for numerical heat transfer and fluid flow.

TL;DR: In this article, a general analytical solution is developed for one-dimensional solute transport in heterogeneous porous media with scale-dependent dispersion, where the dispersivity increases linearly with distance.

TL;DR: In this paper, a two-dimensional orthotropic mathematical model is formulated and a numerical code based on a structured mesh cell centered control volume approach is implemented in order to allow a more comprehensive numerical investigation of the convective drying of wood to be undertaken.

TL;DR: In this paper, boundary layer solutions are presented to investigate the steady flow and heat transfer characteristics of a continuous flat surface moving in a parallel free stream of power-law fluid, which is reduced to nonlinear ordinary differential equations by similarity transformations.

TL;DR: In this article, the fluid dynamical phenomena that occur in liquid baths when injected with gas are discussed. And a two-fluid model for simulating bath circulation is compared with data obtained in air-water experiments.

TL;DR: In this paper, a multiobjective optimization model based on the goal programming approach is proposed to assist in the proper management of hazardous waste generated by the petrochemical industry, where the analytic hierarchy process (AHP) is incorporated in the model to prioritize the conflicting goals usually encountered when addressing the waste management problems.

TL;DR: In this paper, a Taylor transformation technique for nonlinear process predictive control is presented to make the nonlinear predictive control design problem similar to the linear predictive control problem, which is then applied to the continuous stirred tank reactor (CSTR) control problem.

TL;DR: Field data tests for merging and diverging freeway geometries show that implementation of the proposed high-order model with the Harten-Lax-van Leer (HLLE) flux-difference splitting method yields low error levels and is more accurate than the simple continuum model at congested flows.

TL;DR: In this paper, the Laplace transform dual reciprocity method (LTDRM) was proposed to solve transient heat conduction (or diffusion) equations with nonlinear source terms.

TL;DR: In this paper, a nonlinear time-invariant model is developed in the state-space setting for a fossil fueled generating unit having the rated load capacity of 525 MW, and the results of simulation experiments demonstrate that a robust feedforward-feedback control policy satisfies the specified performance requirements of power ramp up and down in the range of 40-100% load under nominal conditions of load following operations.

TL;DR: In this article, a dynamic model describing the transfer of mass, momentum, and energy has been developed for a continuous Kamyr digester to improve the understanding of the process, in particular the complex interactions between the vertical motion of the mass and the chemical reactions.

TL;DR: In this paper, a mathematical model for determining the optimal manufactured quantity under the consideration of learning is presented, which considers the situation of nonzero lower limit bounded learning to occur, known as the De Jong learning curve.

TL;DR: In this article, the authors studied a special discrete layout problem, namely the Bidirectional Circular Layout Problem (Bi-CLP), where the facilities are arranged around a simple closed-loop path and flows between facilities occur either in the clockwise or in the counter-clockwise direction whichever is shorter along the closed loop path.

TL;DR: The boundary integral equation with only weak singularities is formulated based on the principle of superposition and is such that no numerical integration associated either with the Green's functions for anisotropic media or with body forces is necessary as discussed by the authors.

TL;DR: In this article, boundary integral equations are formulated for unknown regularised functions, which are introduced by subtracting off the field singularities from the original potential function, and at the singular corner points boundary integral equation are formulated to determine the unknown expansion coefficients that characterize the behavior of the potential function around the singular corners points.

TL;DR: An unsteady finite difference mathematical model of depth-averaged two-dimensional (2D) flow for Tolo Harbor in Hong Kong has been developed based upon the numerically generated boundary-fitted orthogonal curvilinear grid system and the grid "block" technique as mentioned in this paper.

TL;DR: In this article, the influence of orientation between the principal stress axes and the material axes when modelling the forming limits for a rolled sheet was examined, and it was shown that the sensitivity of the FLD to orientation depends upon the r-values.

TL;DR: In this article, the authors describe the modeling of a direct-fired annealing furnace during a change in the type of coil passed through the furnace, which is designed to indicate to the operators the appropriate new parameter settings, such as the speed of the line and the flow rates for the gas.

TL;DR: In this paper, a method for the optimal estimation of the parameters in a fully nonlinear model of flow in a channel is developed. But the method is based on the adjoint method of optimal control.

TL;DR: In this paper, an alternative algorithm has been developed for computing the behavior of thin fluid films in two elastohydrodynamic lubrication problems, where the presence of elasticity, lubrication, and cavitation leads to a nonlinear coupled system of partial differential equations.

TL;DR: In this article, the authors derived explicit mathematical expressions that manage orbital gravity gradient acceleration associated with the slew motion that is acting on the spacecraft fluid systems, and the numerical computation of sloshing dynamics is based on the noninertial frame spacecraft-bound coordinates and the solution of time-dependent three-dimensional formulations of partial differential equations subject to initial and boundary conditions.

TL;DR: In this article, large-eddy simulation (LES) results are presented and discussed for the turbulent flow with heat transfer in different geometrical configurations, including a plane channel, a channel bearing transverse square ribs on one of the walls, and a crossed-corrugated air heater.

TL;DR: In this paper, a structural impedance algorithm is developed for analyzing the dynamic response of cable-stayed bridges subjected to traversing vehicles, where the bridge deck is modelled as an elastic plate, and the cables are idealised as springs for simplicity.

TL;DR: A modelling strategy is presented that links three major policy issues associated with the distribution systems serving a random process of item retrieval demand, which include inventory management, space allocation between reserve and retrieval storage areas, and storage area layout.

TL;DR: In this paper, a general purpose optimization tool has been developed and implemented into the finite volume-based computational fluid dynamics (CFD) environment of CFDS-FLOW3D.

TL;DR: In this article, the authors calculated the flow field and bed stress distribution for a miniature annular flume using the computational fluid dynamics (CFD) package Harwell-FLOW3D.

TL;DR: In this paper, a perturbation expansion is applied to the set of nonlinear equations to obtain a series of linear equations that can be solved easily using matrix methods and the solution is obtained directly without iterations, initial estimates, and issues of convergence.

TL;DR: In this paper, the authors investigated the transport processes involved in the mixing of two gases in a T-junction mixer and calculated the turbulent flow field for the T junction with the k- turbulence model by FLOW3D.