A solution of the convection-conduction heat-transfer equation in porous media by the von Rosenberg finite-difference scheme
✍ Scribed by Daniel M. Ginosar; Don W. Green
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 456 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0749-159X
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✦ Synopsis
von Rosenberg developed an explicit finite-difference scheme for solution of the linear convection-conduction partial differential equation in one space dimension. The method is stable and accurate when a dimensionless ratio of dispersion to convection is between zero and one. In this work, the von Rosenberg method was applied to a linear, one space dimensional set of coupled convection-conduction equations. The system examined involves the change in temperature resulting from a fluid flowing through a stationary porous solid with heat transfer between the fluid and solid phases. The equations, which describe heat transfer in each phase, were solved simultaneously and, thus, the solution method was required to be implicit rather than explicit. It was observed that when the interphase convective heat-transfer rate was small relative to the fluid velocity, an implicit solution of the von Rosenberg weighted equations provided a good solution, but when the interphase convective heat-transfer rate was relatively large, a modified weighting on the equations provided a more accurate, stable solution.