## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Investigation of transient and steady heat transfer in saturated porous medium filled in a vertical cylinder with thermal dispersion and radiation

**ABSTRACT**

In this study, the influence of thermal radiation and dispersion on a porous medium which was filled in a vertical cylinder was numerically solved. A finite-difference method was used to solve the non-dimensional equations by applying a Crank-Nicolson implicit numerical technique. Moreover, an experimental setup has been initially built to investigate the effect of three different grain sizes of the porous materials on the heat transfer process. The numerical results indicated that the thermal radiation increased the momentum and the thickness of the thermal boundary layer during the natural convection heat transfer process. Whereas, the thermal dispersion factor decreased the momentum and the thickness of the boundary layer during the natural convection heat transfer process, which enabled a steady and transient heat transfer. The experimental results indicated that the pore size of the medium significantly affected the rate of the heat transfer process. A smaller pore size showed a greater effect and could be used in different applications that involve a higher heat transfer rate, while a larger pore size can potentially be used as an insulating material.

**KEYWORDS**

PAPER SUBMITTED: 2021-05-01

PAPER REVISED: 2021-11-16

PAPER ACCEPTED: 2021-11-19

PUBLISHED ONLINE: 2022-01-02

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