Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
Journal of Porous Media
Impact-faktor: 1.752 5-jähriger Impact-Faktor: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

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

Volumes:
Volumen 23, 2020 Volumen 22, 2019 Volumen 21, 2018 Volumen 20, 2017 Volumen 19, 2016 Volumen 18, 2015 Volumen 17, 2014 Volumen 16, 2013 Volumen 15, 2012 Volumen 14, 2011 Volumen 13, 2010 Volumen 12, 2009 Volumen 11, 2008 Volumen 10, 2007 Volumen 9, 2006 Volumen 8, 2005 Volumen 7, 2004 Volumen 6, 2003 Volumen 5, 2002 Volumen 4, 2001 Volumen 3, 2000 Volumen 2, 1999 Volumen 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.2020021179
pages 383-394

TRANSPORT OF A HEATED HYDROPHOBIC SPHERICAL PARTICLE THROUGH POROUS MEDIUM

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
A J Chamkha
KCST

ABSTRAKT

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.

REFERENZEN

  1. 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.

  2. 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.

  3. 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.

  4. Basset, A.B., A Treatise on Hydrodynamics: With Numerous Examples, New York: Dover, vol. 2, 1961.

  5. Bhattacharyya, S. and Singh, A.K., Mixed Convection from an Isolated Spherical Particle, Int. J. Heat Mass Transf., vol. 51, pp. 1034-1048, 2008.

  6. 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.

  7. 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.

  8. Fatin-Rouge, N., Starchev, K., and Buffle, J., Size Effects on Diffusion Processes within Agarose Gels, Biophys. J., vol. 86, pp. 2710-2719, 2004.

  9. 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.

  10. 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.

  11. 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.

  12. 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.

  13. Jain, R.K., Transport of Molecules in the Tumor Interstitium: A Review, Cancer Res., vol. 47, no. 12, pp. 3039-3051,1987.

  14. Lauga, E., Apparent Slip due to the Motion of Suspended Particles in Flows of Electrolyte Solutions, Langmuir, vol. 20, pp. 8924-8930, 2004.

  15. Laxton, P.B. and Berg, J.C., Colloid Aggregation Arrested by Caging within a Polymer Network, Langmuir, vol. 24, pp. 9268.

  16. 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.

  17. LeVeque, R.J., Finite Volume Methods for Hyperbolic Problems, New York: Cambridge University Press, 2002.

  18. Lieleg, O. andRibbeck, K., Biological Hydrogels as Selective Diffusion Barriers, Trends Cell Biol, vol. 21, pp. 543-551, 2011.

  19. Lieleg, O., Vladescu, I., and Ribbeck, K., Characterization of Particle Translocation through Mucin Hydrogels, Biophys. J., vol. 98, pp. 1782-1789,2010.

  20. 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.

  21. 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.

  22. Patankar, S., Numerical Heat Transfer and Fluid Flow, New York: Hemisphere Publishing Corporation, 1980.

  23. Qiu, Y. and Park, K., Environment-Sensitive Hydrogels for Drug Delivery, Adv. Drug Delivery Rev, vol. 53, pp. 321-339, 2001.

  24. 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.

  25. 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.

  26. 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.

  27. 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.

  28. 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.

  29. 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.

  30. 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.

  31. 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.

  32. 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.

  33. 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.


Articles with similar content:

FLUID-STRUCTURE INTERACTIONS SIMULATION AND VISUALIZATION USING ISPH APPROACH
Journal of Flow Visualization and Image Processing, Vol.26, 2019, issue 3
Abdelraheem M. Aly, M. Hassaballah, A. Abdelnaim
SLIP VELOCITY OF RIGID FIBERS IN A TURBULENT CHANNEL FLOW
TSFP DIGITAL LIBRARY ONLINE, Vol.8, 2013, issue
Cristian Marchioli, Helge I. Andersson, Lihao Zhao
PERFORMANCE ANALYSIS OF MICROCHANNEL COUNTER FLOW HEAT EXCHANGER USING DIFFERENT NANOFLUIDS
Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017), Vol.0, 2017, issue
C K Umesh, Doddamani Hithaish, Saravanan Venkatesh, Bharath P
On the Prediction of Darcy Permeability in Nonisotropic Periodic Two-Dimensional Porous Media
Journal of Porous Media, Vol.7, 2004, issue 2
Mouaouia Firdaouss, J. Prieur Duplessis
FLUID FLOW SIMULATION IN MICROPOROUS MEDIA ON NONUNIFORM GRIDS USING THE TAYLOR SERIES EXPANSION AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD
Nanoscience and Technology: An International Journal, Vol.9, 2018, issue 3
Ahmad Reza Rahmati