International Journal of Numerical Methods for Heat & Fluid Flow: Volume 2 Issue 3

DIRECT SPECTRAL METHODS FOR THE LOW MACH NUMBER EQUATIONS

J. FRÖHLICH, R. PEYRET

The low Mach number approximation of the Navier—Stokes equations is of similar nature to the equations for incompressible flow. A major difference, however, is the appearance of a…

SOLUTIONS OF SOME AXISYMMETRIC LOW STEFAN NUMBER MELTING PROBLEMS BY AN IMPROVED FINITE DIFFERENCES METHOD

M. SOKOLOV, Y. KEIZMAN

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…

NATURAL CONVECTION WITHIN A SIMPLIFIED MODEL OF THE HUMAN EYE

VIJAY K. GARG

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…

NUMERICAL STUDY OF A PURE METAL MELTING IN PRESENCE OF TURBULENT NATURAL CONVECTION

YONGKE WU, MARCEL LACROIX

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…

A FINITE ELEMENT EIGENVALUE METHOD FOR SOLVING TRANSIENT HEAT CONDUCTION PROBLEMS

JIAKANG ZHONG, LOUIS C. CHOW, WON SOON CHANG

An eigenvalue method is presented for solving the transient heat conduction problem with time‐dependent or time‐independent boundary conditions. The spatial domain is divided into…

FLOW OF A NEWTONIAN FLUID BETWEEN ECCENTRIC ROTATING CYLINDERS

ESTEBAN SAATDJIAN, NOEL MIDOUX

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…

FINITE ELEMENT ANALYSIS OF A PARTITIONED CAVITY UNDER MIXED THERMAL CONDITIONS

P.K. GHOSH, A. SARKAR, V.M.K. SASTRI

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…