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The low Mach number approximation of the NavierStokes equations is of similar nature to the equations for incompressible flow. A major difference, however, is the appearance of a space and timevarying density that introduces a supplementary nonlinearity. In order to solve these equations with...
The use of explicit finite difference schemes for low Stefan number problems with moving interface was largely abandoned because they require small time intervals large CPU time to obtain accurate nonoscillatory solutions. This paper uses these type of schemes for better estimations of the...
A finite difference solution for steady natural convective flow within the human eye, modelled as a sphere with a specified temperature distribution over its surface, has been obtained. The stream functionvorticity formulation of the equations of motion for the unsteady axisymmetric flow is used...
Melting of pure metal in presence of turbulent natural convection with Rayleigh number ranging from 106 to 109 has been studied numerically. The governing equations are formulated in terms of stream functionvorticitytemperature and the moving distorted solidliquid interface is tracked using...
An eigenvalue method is presented for solving the transient heat conduction problem with timedependent or timeindependent boundary conditions. The spatial domain is divided into finite elements and at each finite element node, a closedform expression for the temperature as a function of time can...
The flow between eccentric rotating cylinders when either the outer or inner cylinder is stationary is analysed both for the creeping flow approximation and for the case when inertial effects are not negligible. Numerical solutions are obtained using a finite difference ADI scheme and a fine...
Natural convection in a square cavity with a centrally located partition is considered. While one of the side walls is fully active, the other is partly insulated. Numerical simulation, based on the finite element method, has been carried out for different lengths of the active surface. The...
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