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Wall-Driven Versus Pressure Gradient-Driven Flows in Porous Media

Magyari, Eugen

In: Transport in Porous Media, 2014, vol. 103, no. 2, p. 181-190

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    Titre
    • Wall-Driven Versus Pressure Gradient-Driven Flows in Porous Media
    Auteur
    • Magyari, Eugen. Departement Physik, Theoretische Physik, Universität Basel, Klingelbergstrasse 82, 4056, Basel, Switzerland
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • Transport in Porous Media, 2014, vol. 103, no. 2, p. 181-190. Springer Netherlands
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:325434
    Summary
    The heat transfer characteristics of two boundary layer flows past an isothermal plane surface adjacent to a saturated Darcy-Brinkman porous medium is compared to each other in this paper. The flows are driven either by a stretching of the adjacent plane boundary, or by an external pressure gradient. It is found that below a threshold value $$\tilde{P}r_{*} $$ P ~ r ∗ of the modified Prandtl number $$\tilde{P}r$$ P ~ r , the Nussselt number in case of the pressure gradient-driven flow is larger than in case of the wall- driven flow, while for $$\tilde{P}r>\tilde{P}r_{*} $$ P ~ r > P ~ r ∗ the flow driven by the moving wall provides a more efficient heat transfer mechanism. The dependence of $$\tilde{P}r_{*} $$ P ~ r ∗ on the Darcy number is also discussed in detail.