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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.2020021179
pages 383-394


U. K. Ghoshal
Department of Mathematics, S P Jain College, Sasaram, Bihar 821115, India
S. Bhattacharyya
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box 10021, Ras Al Khaimah, United Arab Emirates


In this paper propulsion of a hydrophobic particle in a gel medium is analyzed numerically. Transport of nanoparticles in gel medium has relevance in the context of controlled drug delivery, colloid separation, and biotechnology. The gel medium is considered to be a homogeneous porous medium, and the hydrodynamics in the gel medium is governed by the Brinkman equation. A Navier-slip boundary condition on the surface of the particle is imposed. We have considered the hydrodynamics of microsized particles by considering the Reynolds number, based on the particle radius and translational velocity, as O(1). Subsequently, we have presented results for mixed convection of the heated hydrophobic particle for a moderate range of Reynolds number. Hydrophobicity of the particle creates a large reduction in drag compared to a hydrophilic particle. The variation of the drag factor, which measures the ratio of drag of a hydrophobic particle suspended in gel and clear fluid, with the gel permeability is found to be similar for any choice of the particle slip length. The flow separation from the surface of the hydrophobic particle delays with respect to Reynolds number. Heat transfer is relatively little influenced by the surface hydrophobicity of the particle.


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