Correction to: Darcy–Brinkman–Forchheimer Model for Film Boiling in Porous Media

This study reports a simple empirical correlation for friction factor and Nusselt number for laminar, steady state, hydraulically and thermally fully developed flow in isothermal parallel plate channel completely filled with porous media. The study is carried out using a finite difference numerical analysis. The Darcy-Brinkman-Forchheimer model is used to model the flow inside the porous media. The empirical correlations are developed to relate friction factor and Nusselt number to Darcy and Forchheimer coefficient.

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On the Adaptive Numerical Solution to the Darcy–Forchheimer Model

Engineering Proceedings ◽

10.3390/engproc2021007036 ◽

2021 ◽

Vol 7 (1) ◽

pp. 36

Author(s):

María González ◽

Hiram Varela

Keyword(s):

Porous Media ◽

Mixed Method ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Error Indicator ◽

Forchheimer Model ◽

Posteriori Error Analysis ◽

Theoretical Results

We considered a primal-mixed method for the Darcy–Forchheimer boundary value problem. This model arises in fluid mechanics through porous media at high velocities. We developed an a posteriori error analysis of residual type and derived a simple a posteriori error indicator. We proved that this indicator is reliable and locally efficient. We show a numerical experiment that confirms the theoretical results.

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INFLUENCE OF THE POROUS MEDIA ON HEAT EXCHANGE AT FILM BOILING LIQUID

Thermophysics and Thermal Power Engineering ◽

10.31472/ttpe.3.2021.1 ◽

2021 ◽

Vol 43 (3) ◽

pp. 7-14

Author(s):

A.A. Avramenko ◽

M.M. Kovetskaya ◽

N.P. Dmitrenko ◽

Yu.Yu. Kovetska

Keyword(s):

Heat Transfer ◽

Porous Medium ◽

Darcy Number ◽

Heated Wall ◽

Film Boiling ◽

Free Fluid ◽

Heat Transfer Deterioration ◽

Thermal Boundary Conditions ◽

Forchheimer Model ◽

Porous Medium Model

The present work focuses on a study of heat transfer during film boiling of a liquid on a vertical heated wall immersed in a porous medium subject to variation of different parameters of the porous medium and heating conditions at the wall. An analytical solution was obtained for the problem using Darcy-Brinkman-Forchheimer model. It was shown that heat transfer intensity during film boiling in a porous medium is weaker than in a free fluid (without porosity) and decreases with the decreasing permeability of the porous medium. The use of a porous medium model in the Darcy-Brinkman-Forchheimer approximation showed the effect of the Forchheimer parameter on heat transfer during film boiling in a porous medium. An increase in the Forchheimer parameter leads to heat transfer deterioration, which is more significant at small values of the Darcy number. Effects of different thermal boundary conditions on the heated wall on the heat transfer are insignificant.

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