Transient heat transfer in porous media.
Abstract
The general differential equations describing unsteady-state heat
transfer with a fluid flowing through a porous medium are derived. These
equations represent a physical model for heat transfer in thermal oilrecovery
process, packed-bed chemical reactors, and heat regenerators.
Fluid-solid convective heat transfer and longitudinal conduction in both
the fluid and solid phases are considered. Laplace transformation and
numerical inversion are used to solve the system of partial differential
equations. A digital computer program obtains the numerical results
which are compared to those of Green and Perry using finite difference
technique, and to experimental data of Preston. Also presented are
analytical solutions for the cases where the longitudinal conduction is
neglected and the convective heat transfer coefficient is assumed to be
infinite. These solutions are programmed and results are compared to those
from the general case. The effect of different heat transfer mechanisms
on temperature profiles at low fluid velocities is studied. The results
show that this numerical method gives accurate results with relatively short computational time.
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