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Journal of Porous Media
TRANSPORT OF A HEATED HYDROPHOBIC SPHERICAL PARTICLE THROUGH POROUS MEDIUM
U. K. Ghoshal
Department of Mathematics, S P Jain College, Sasaram, Bihar 821115, India
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302,
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.
Adamczyk, Z., Siwek, B., Weronski, P., and Musial, E., Irreversible Adsorption of Colloid Particles at Heterogeneous Surfaces, Appl. Surf. Sci., vol. 196, pp. 250-263, 2002.
Adibnia, V., Cho, K.W., and Hill, R.J., Nanoparticle Coupling to Hydrogel Networks: New Insights from Electroacoustic Spectroscopy, Macromolecules, vol. 50, no. 10, pp. 4030-4038, 2017.
Anders, R. and Chrysikopoulos, C.V., Transport of Viruses through Saturated and Unsaturated Columns Packed with Sand, Transp. Porous Media, vol. 76, pp. 121-138, 2009.
Basset, A.B., A Treatise on Hydrodynamics: With Numerous Examples, New York: Dover, vol. 2, 1961.
Bhattacharyya, S. and Singh, A.K., Mixed Convection from an Isolated Spherical Particle, Int. J. Heat Mass Transf., vol. 51, pp. 1034-1048, 2008.
Cekmer, O., Mobedi, M., Ozerdem, B., and Pop, I., Effect of an Inserted Porous Layer into a Channel on Heat Transfer and Pressure Drop, J. Porous Media, vol. 19, no. 1, pp. 65-82, 2016.
Duwairi, H.M. and Al-Khliefat, V.M., Slip Velocity Effects on Convection from a Vertical Surface Embedded in a Porous Medium, J. Porous Media, vol. 17, no. 12, pp. 1053-1059, 2014.
Fatin-Rouge, N., Starchev, K., and Buffle, J., Size Effects on Diffusion Processes within Agarose Gels, Biophys. J., vol. 86, pp. 2710-2719, 2004.
Feng, Z.G. and Michaelides, E.E., Heat and Mass Transfer Coefficients of Viscous Sphere, Int. J. Heat Mass Transf., vol. 44, pp. 4445-4454, 2001.
Feng, Z.G., Michaelides, E.E., and Mao, S., On the Drag Force of a Viscous Sphere with Interfacial Slip at Small but Finite Reynolds Numbers, FluidDyn. Res., vol. 44, p. 025502,2012.
Ge, J., Neofytou, E., Cahill III, T.J., Beygui, R.E., and Zare, R.N., Drug Release from Electric-Field-Responsive Nanoparticles, ACSNano, vol. 6, pp. 227-233,2011.
Goldenberg, L.C., Hutcheon, I., and Wardlaw, N., Experiments on Transport of Hydrophobic Particles and Gas Bubbles in Porous Media, Transp. Porous Media, vol. 4, pp. 129-145, 1989.
Jain, R.K., Transport of Molecules in the Tumor Interstitium: A Review, Cancer Res., vol. 47, no. 12, pp. 3039-3051,1987.
Lauga, E., Apparent Slip due to the Motion of Suspended Particles in Flows of Electrolyte Solutions, Langmuir, vol. 20, pp. 8924-8930, 2004.
Laxton, P.B. and Berg, J.C., Colloid Aggregation Arrested by Caging within a Polymer Network, Langmuir, vol. 24, pp. 9268.
Leonard, B.P., A Stable and Accurate Convective Modelling Procedure based on Quadratic Upstream Interpolation, Comput. Methods Appl. Mech. Eng., vol. 19, pp. 59-98, 1979.
LeVeque, R.J., Finite Volume Methods for Hyperbolic Problems, New York: Cambridge University Press, 2002.
Lieleg, O. andRibbeck, K., Biological Hydrogels as Selective Diffusion Barriers, Trends Cell Biol, vol. 21, pp. 543-551, 2011.
Lieleg, O., Vladescu, I., and Ribbeck, K., Characterization of Particle Translocation through Mucin Hydrogels, Biophys. J., vol. 98, pp. 1782-1789,2010.
Moyano, D.F., Saha, K., Prakash, G., Yan, B., Kong, H., Yazdani, M., and Rotello, V.M., Fabrication of Corona-Free Nanoparticles with Tunable Hydrophobicity, ACS Nano, vol. 8, pp. 6748-6755, 2014.
Pantokratoras, A., Free, Forced, and Mixed Convection in a Darcy-Brinkman Porous Medium along a Vertical Isothermal Plate, J. Porous Media, vol. 19, no. 7, pp. 649-657,2016.
Patankar, S., Numerical Heat Transfer and Fluid Flow, New York: Hemisphere Publishing Corporation, 1980.
Qiu, Y. and Park, K., Environment-Sensitive Hydrogels for Drug Delivery, Adv. Drug Delivery Rev, vol. 53, pp. 321-339, 2001.
Rabhi, R., Amami, B., Dhahri, H., and Mhimid, A., Heat Transfer and Entropy Generation in Porous Micriduct with Slip Boundary Condition Using Lattice Boltzmann Method under Nonequilibrium Conditions, J. Porous Media, vol. 20, no. 3, pp. 227-247, 2017.
Sala, G., Van Vliet, T., Stuart, M.A.C., Van Aken, G.A., and Van de Velde, F., Deformation and Fracture of Emulsion-Filled Gels: Effect of Oil Content and Deformation Speed, Food Hydrocolloids, vol. 23, pp. 1381-1393, 2009.
Schuhmann, W., Kranz, C., Wohlschlager, H., and Strohmeier, J., Pulse Technique for the Electrochemical Deposition of Polymer Films on Electrode Surfaces, Biosens. Bioelectron., vol. 12, pp. 1157-1167, 1997.
Simi, C.K. and Abraham, T.E., Hydrophobic Grafted and Cross-Linked Starch Nanoparticles for Drug Delivery, Bioprocess. Biosyst. Eng., vol. 30, pp. 173-180, 2007.
Sim, Y. and Chrysikopoulos, C.V., One-Dimensional Virus Transport in Porous Media with Time-Dependent Inactivation Rate Coefficients, Water Resour. Res., vol. 32, pp. 2607-2611,1996.
Sim, Y. and Chrysikopoulos, C.V., Three-Dimensional Analytical Models for Virus Transport in Saturated Porous Media, Transp. Porous Media, vol. 30, pp. 87-112, 1998.
Sperling, R.A. and Parak, W. J., Surface Modification, Functionalization and Bioconjugation of Colloidal Inorganic Nanoparticles, Philos. Trans. R. Soc. London, Ser. A, vol. 368, pp. 1333-1383, 2010.
Stigter, D., Influence of Agarose Gel on Electrophoretic Stretch, on Trapping, and on Relaxation of DNA, Macromolecules, vol. 33, no. 23, pp. 8878-8889, 2000.
Torkzaban, S., Tazehkand, S.S., Walker, S.L., and Bradford, S.A., Transport and Fate of Bacteria in Porous Media: Coupled Effects of Chemical Conditions and Pore Space Geometry, Water Resour. Res, vol. 44, no. 4, 2008. DOI: 10.1029/2007WR006541.
Wegener, M., Grunig, J., Stuber, J., Paschedag, A.R., and Kraume, M., Transient Rise Velocity and Mass Transfer of a Single Drop with Interfacial Instabilities-Experimental Investigations, Chem. Eng. Sci., vol. 62, no. 11, pp. 2967-2978, 2007.
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