We present a numerical study on the dynamics of imbibition fronts in porous media using a pipe network model. This model quantitatively reproduces the anomalous scaling behavior found in imbibition experiments [Phys. Rev. E 52, 5166 (1995)]. Using simple scaling arguments, we derive a new identity among the scaling exponents in agreement with the experimental results.

Since the vessels in the biological tissues are characterized by low seepage Reynolds numbers and contracting or expanding walls, more attention is paid on the viscous flow outside the porous pipe with small expansion or contraction. This paper presents a numerical solution of the flow and heat transfer outside an expanding or contracting porous cylinder. The coupled nonlinear similarity equati...

A stability analysis is carried out taking into account slightly porous walls in an idealized detonation confined to a circular pipe. The analysis is carried out using the normal-mode approach and corrections are obtained to the underlying impenetrable wall case results to account for the effect of the slight porosity. The porous walls are modelled by an acoustic boundary condition for the pert...

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This paper presents a two-dimensional analytical model for low-temperature cylindrical heat pipes. A closed-form solution which incorporates liquid±vapor interfacial hydrodynamic coupling and non-Darcian transport through the porous wick for the ®rst time, is obtained for predicting the vapor and liquid velocity and pressure distributions. In addition, the steady-state vapor and wall temperatur...

Abstract---In this work a pseudo-three-dimensional analytical model is developed for the steady incompressible vapor and liquid flow in an asymmetrical disk-shaped heat pipe. The hydrodynamic coupling of the vapor and liquid flow, the gravitational effects and the effects of non-Darcian transport through the porous wick are incorporated in the model, and the variations in upper and lower liquid...

The Habanero 1 and 3 doublet is the major component in the original electricity generation plan for the Geodynamics geothermal project in the Cooper Basin of South Australia. Various heat extraction studies have been conducted using simplified models such as a single fracture connecting the two wells or an equivalent porous medium representing the reservoir. In our approach, a more realistic fr...

In recent years, the use of heat pipe for electronic equipments thermal management has been growing faster to meet the future requirements. The flat plate heat pipes (FPHP) are promising heat transporting devices capable of transmitting high heat fluxes rejected by modern electronic equipments. In the present study, the experimental analysis of the thermal performance of flat plate heat pipe is...

Flow in porous Silicon Carbide (SiC) has been investigated in order to increase the understanding of the determining parameters. Porous SiC is used in the fabrication of ceramic membranes, for use in cross-flow and dead-end filtration. Therefore, a description of the flow would help to design more efficient filtration modules, and to improve the use of the existing modules. The investigation pe...

2022ABSTRACTPorous materials are used in thermal devices such as heat exchangers to improvement the transfer. The transfer of a non-Newtonian fluid flow an annular pipe with porous discs is numerically investigated this paper. regime both medium and clear region considered be turbulent. effects power-law index pitch variationson rate, friction coefficient studied compared each other for two lay...