Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

Karim RaguiAbdelkader Boutra Youb Khaled Benkahla  Rachid Bennacer 

Laboratory of Transfer Phenomenon, University of Sciences and Technology Houari Boumediene. Algiers, Algeria

Superior School of Applied Sciences. Algiers, Algeria

LMT - ENS Cachan, CNRS, Paris - Saclay University, 94230 Cachan, France

Corresponding Author Email:
13 November 2017
28 April 2018
30 June 2018
| Citation



Through our paper, thermosolutal convection of viscoplastic materials ‘so called Bingham plastics’ which occurs into a porous matrix with an inner pollutant source has been treated numerically, in the aim to light out the impact of some relevant parameters; such Lewis and porous Rayleigh numbers; as well as the buoyancy ratio and the source dimension one; on a such conjugate phenomenon. To do so, the physical model for the momentum conservation equations is made using the Brinkman extension of the classical Darcy equation. The set of coupled equations is solved using the finite volume method and the SIMPLER algorithm. The heat and solute source within the porous space has taken a circular shape. Simply said, our pollutant source is a transport pipe which presented in 2D. To handle the latter in Cartesian Coordinates; the Cartesian Cut-Cell approach was adopted. After a careful treatment of such double-diffusive convection within the Bingham-porous space; powerful expressions that expect the mean transfer rates in such industrial geometry are set forth as a function of the governing parameters. These correlations, which predicted with ±3% the numerical results, may count as a complement to previous Newtonian-fluid researches. It is to note that the validity of the computing code was ascertained by comparing our results with experimental data and numerical ones, already available in the literature.


thermosolutal convection, bingham plastics, porous medium, circular pollutant source, finite volume approach, cut-cell approach, proposed models

1. Introduction
2. Problem Statement & Mathematical Formulation
3. Numerical Procedure
4. Results & Discussion
5. Conclusion

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