.../approach Steady solutions are obtained using finite difference methods. Three different ways in which insulating boundary conditions are implemented are compared. Detailed attention is paid to the iterative convergence of the numerical scheme and to its overall accuracy. Error testing and Richardson’s...

...K.B. Dada; E. Momoniat Purpose The purpose of this paper is to derive a dynamic equation for modelling the behaviour of smectic‐C liquid crystals under the effect of an electric field. Design/methodology/approach The model equation is solved using a finite difference approximation, method...

...M.J. Pujol; P. Grimalt This paper describes a non‐linear reaction‐diffusion equation, which models how a substance spreads in the surface of the cortex so as to avoid a massive destruction of neurones when cerebral tissue is not oxygenated correctly. For the explicit finite differences method...

... equation for uniform surface temperature are analyzed by using two distinct solution methodologies; namely, (i) a finite difference method and (ii) a local non‐similarity method. For uniform surface heat flux case, the solutions of the governing non‐similarity boundary layer equations are obtained by using...

... equation in parabolic coordinates were solved. A second order accurate finite difference scheme on a non‐uniform grid was used. A wide range of Reynolds number (Re) is studied for different values of Prandtl number (Pr). It is found that the pressure, skin friction and Nusselt number decreases as the Darcy...

...A.K. Satapathy; R.K. Sahoo A numerical study has been made to investigate the effect of internal heating and precursory cooling during quenching of an infinite tube. The finite difference solution gives the quench front temperature as a function of various model parameters such as Peclet number...

...M.F. Carfora A semi‐implicit semi‐Lagrangian mixed finite‐difference finite‐volume model for the shallow water equations on a rotating sphere is considered. The main features of the model are the finite‐volume approach for the continuity equation and the vectorial treatment of the momentum equation...

..., x_{3,k); u(x) = u (x1,i}, x_2,j, x_{3,k) = uijk. We also introduce the following finite difference for the grid function uijk (see equation 3) Similarly, finite}...

... convection parameter for the entire range of free‐forced‐mixed convection is employed and non‐similar equations are obtained. These equations are solved numerically by an efficient implicit, iterative, finite‐difference scheme. The obtained results are checked against previously published work on special...

... equations for this modified Stokes problem are developed based on the continuum representation of both the fluid and the particle cloud. Appropriate dimensionless variables are introduced. The resulting dimensionless equations are solved numerically by an accurate implicit finite‐difference method for two...

...S. Jayaraj Deals with thermophoretic analysis in natural convection laminar flow over a cold vertical flat plate. The governing equations are solved by finite difference marching technique. Variation of wall concentration and wall flux with respect to the plate length is studied. Influence...

...J. Shi; T.G. Thomas; J.J.R. Williams Describes further development of a 3D finite difference code written to model turbulent flows in an open channel with a moving free surface. The code has been developed so that the computational domain can have side‐walls and/or periodic directions...

...Yasunori Okano; Susumu Sakai; Takahiro Morita; Jun Shimizu A finite difference simulation for the bulk single crystal growth of indium phosphide by the liquid encapsulated vertical gradient freezing (LE‐VGF) method with a flat bottom crucible is presented. In order to treat a curvature interface...

... and the gas‐fluid mass ratio is assumed to be constant. By application of the conservation of mass and momentum laws, non‐linear hyperbolic systems of two differential equations are obtained and integrated numerically by a finite difference conservative scheme. The fluid density is defined by an expression...

...I.A. Hassanien; Rama Subba Reddy Gorla A nonsimilar boundary layer analysis is presented for the problem of natural convection in micropolar fluids along a nonisothermal vertical plate. The transformed governing laws are solved numerically using a finite difference method. Numerical results...

... in a porous medium. A pressure‐based formulation has been used in the present study. The governing partial differential equations have been solved by a finite difference method. Both Newtonian and non‐Newtonian (shear thinning) behaviour of oil are considered. Results clearly show an improvement in oil...

...J.P. Barbosa Mota; E. Saatdjian Natural convection in a porous layer between two horizontal, concentric cylinders is investigated numerically by solving the 2‐D Darcy‐Boussinesq equations on a very fine grid. The parabolic‐elliptic system was solved by a second order finite difference scheme based...

... moves upstream and the reattachment point moves downstream when either the inner or the outer cylinder rotate. Finite differences Bipolar coordinates Stokes flow Inertial flow © MCB UP Limited 1992 INT. J. NUM. METH. HEAT FLUID FLOW, VOL. 2, 261-270 (1992) FLOW OF A NEWTONIAN FLUID...