FCF Research Group
Publications

• Hernandez-Ortiz, J. P., Ma, H. de Pablo, J. J. and Graham, M. D., "Concentration distributions during flow of confined flowing polymer solutions at finite concentration: slit and grooved channel", Korea-Australia Rheology Journal , to appear (2008).
  
  
• Xi, L. and Graham, M. D., "A mechanism for oscillatory instability in viscoelastic cross-slot flow", J. Fluid Mech. , to appear (2008).
  
  
• Underhill, P. T., Hernandez-Ortiz, J. P. and Graham, M. D., "Diffusion and spatial correlations in suspensions of swimming particles", Phys. Rev. Lett. 100, 248101 (2008).
  
  
• Lopez, M. and Graham, M. D., "Enhancement of mixing and adsorption in microfluidic devices by shear-induced diffusion and topography-induced secondary flow", Phys. Fluids, 20, 053304 (2008).
  
  
• Izmitli, A., Schwartz, D. C., Graham, M. D. and de Pablo, J. J., "The effect of hydrodynamic interactions on the dynamics of DNA translocation through pores", J. Chem. Phys., 128, 085102 (2008).
  
  
• Lopez, M., "Enhancement of mixing and transport in microfluidic devices by chaotic dynamics and shear-induced diffusion", Doctoral dissertation (2007).
  
  
• Li, W., "Polymer induced drag reduction in exact coherent states of plane Poiseuille flow", Doctoral dissertation (2007).
  
  
• Ma, H., "Dynamics of flowing polymer solutions under confinement", Doctoral dissertation (2007).
  
  
• Liu, X., Graham, M. D. and Abbott, N. L., "Methods for Generation of Spatial Gradients in Concentration of Monomeric Surfactants and Micelles in Micro?uidic Systems", Langmuir, 23, 9578-9585 (2007).
  
  
• Chen, Y.-L., Ma, H., Graham, M. D. and de Pablo, J. J., "Modeling DNA in confinement: a comparison between Brownian dynamics and lattice Boltzmann method", Macromolecules, 40, 5978-5984 (2007).
  
  
• Hernandez, J. P., de Pablo, J. J. and Graham, M. D., "Fast computation of many-particle hydrodynamic and electrostatic interactions in a confined geometry", Phys. Rev. Lett., 98, 140602 (2007).
  
  
• Lopez, M. and Graham, M. D., "Shear-induced diffusion in dilute suspensions of spherical or non-spherical particles: effects of irreversibility and symmetry-breaking", Phys. Fluids, 19, 073602 (2007).
  
  
• Li, W. and Graham, M. D., "Polymer induced drag reduction in exact coherent structures of plane Poiseuille flow", Phys. Fluids, 19, 083101 (2007).
  
  
• Stoltz, C. G., de Pablo, J. J., and Graham, M. D., "Simulation of nonlinear shear rheology of dilute salt-free polyelectrolyte solutions", J. Chem. Phys., 126, 124906 (2007).
  
  
• Jo, K., Dhingra, D., Odijk, T., de Pablo, J. J., Graham, M. D., Runnheim, R., Forrest, D. and Schwartz, D. C., "A single-molecule barcoding system using nanoslits for DNA analysis", Proc. Nat. Acad. Sci., 104, 2673-2678 (2007).
  
  
• Hernandez, J. P., Ma, H., de Pablo, J. J. and Graham, M. D., "Cross-stream line migration in confined flowing polymer solutions: theory and simulation", Phys. Fluids, 18, 123101 (2006).
  
  
• Hernandez, J. P., de Pablo, J. J. and Graham, M. D., "N\log N method for hydrodynamic interactions of confined polymer systems: Brownian dynamics", J. Chem. Phys., 125, 164906 (2006).
  
  
• Li, W., Xi, L., and Graham, M. D., "Nonlinear travelling waves as a framework for understanding turbulent drag reduction", J. Fluid Mech., 565, 353-362 (2006).
  
  
• Khare, R., Graham, M. D. and de Pablo, J. J., "Cross-stream migration of flexible molecules in a nanochannel", Phys. Rev. Lett., 96, 224505 (2006).
  
  
• Stoltz, C. G.., "Simulation of Dilute Polymer and Polyelectrolyte Solutions:  Concentration Effects", Doctoral dissertation (2006).
  
  
• Stoltz, C. G., de Pablo, J. J. and Graham, M. D., "Concentration dependence of shear and extensional rheology of polymer solutions:  Brownian dynamics simulations", J. Rheol., 50, 137-167 (2006)



• Hernandez, J.-P., Stoltz, C. G. and Graham, M. D., "Transport and collective dynamics in suspensions of confined swimming particles", Phys. Rev. Lett., 95, 204501 (2005)
  
  
• Ma, H. and Graham, M. D., "Theory of shear-induced migration in dilute polymer solutions near solid boundaries", Phys. Fluids, 17, 083103 (2005).
  
  
• Chen, Y.-L., Graham, M. D., de Pablo, J. J., Jo, K. and Schwartz, D. C., "DNA molecules in microfluidic oscillatory flow", Macromolecules, 38, 6680-6687 (2005).
  
  
• Li, W., Stone, P. A., and Graham, M. D., "Viscoelastic nonlinear traveling waves and drag reduction in plane Poiseuille flow", IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions, 285-308, Springer (2005).
  
  
• Bai, G., Graham, M. D.and Abbott, N. L., "The Role of Desorption Kinetics in Determining Marangoni flows Generated by using Electrochemical Methods and Redox-Active Surfactants", Langmuir, 21, 2235-2241 (2005).
  
  
• Dimalanta, E. T., Lim, A., Runnheim, R., Lamers, C., Churas, C., Forrest, D. K., de Pablo, J. J., Graham,  M. D.,  Coppersmith, S. N., Goldstein, S. and Schwartz, D. C., "A Microfluidic System for Large DNA Molecule Arrays", Analytical Chemistry, 76, 5293-5301 (2004).
  
  
• Mensing, G. A., Pearce, T. M., Graham,  M. D., and Beebe, D. J., An externally driven magnetic microstirrer", Phil. Trans. Roy. Soc., 362, 1059-1068 (2004).
  
  
• Stone, P. A., "Viscoelastic Exact Coherent States in Plane Shear Flows", Doctoral dissertation (2004).
  
  
• Stone, P. A., Roy, A., Larson, ,R. G., Waleffe, F., and Graham, M. D., "Polymer drag reduction in exact coherent states of plane shear flow", Phys. Fluids, 16, 3470-3482 (2004).
  
  
• Graham, M. D., "Drag reduction in turbulent flow of polymer solutions", Rheology Reviews, 143-170, eds. D. M. Binding and K. Walters, British Society of Rheology, (2004).
  
  
• Jendrejack, R. M., "Multiscale Simulations of Dilute-Solution Macromolecular Dynamics in Macroscopic and Microscopic Geometries", Doctoral dissertation (2003).
  
  
• Jendrejack, R. M, Schwartz, D. C., de Pablo, J. J. and Graham, M. D., "Shear-induced migration in flowing polymer solutions: simulation of long-chain DNA in microchannels", J. Chem. Phys. 120, 2513-2529 (2004).
  
  
• Jendrejack, R. M, Schwartz, D. C., Dimalanta, E. T., Graham, M. D. and de Pablo, J. J., "DNA dynamics in a microchannel", Phys. Rev. Lett., 91, 038102 (2003).
  
  
• Siettas, C., Graham, M. D. and Kevrekidis, I. G., "Coarse Brownian dynamics for nematic liquid crystals: bifurcation analysis via stochastic simulation", J. Chem. Phys. 118, 10149-10156 (2003).
  
  
• Jendrejack, R. M, Schwartz, D. C., Graham, M. D. and de Pablo, J. J., "Effect of confinement on DNA dynamics in microfluidic devices", J. Chem. Phys. 119, 1165 - 1173 (2003).
  
  
• Graham, M. D., "Interfacial hoop stress and instability of viscoelastic free surface flows", Phys. Fluids, 15, 1702-1710 (2003).
  
  
• Stone, P. A. and Graham, M. D., "Polymer dynamics in a model of the turbulent buffer layer", Phys. Fluids, 15, 1247-1256 (2003).
  
  
• Bai, G., Abbott, N. L. and Graham, M. D., "Influence of Surface Tension-Driven Convection on Cyclic Voltammograms of Langmuir Films of Redox-Active Amphiphiles", Langmuir, 18, 9882-9887 (2002).
  
  
• Jendrejack, R. M, de Pablo, J. J. and Graham, M. D., "A method for multiscale simulation of flowing complex fluids", J. Non-Newtonian Fluid Mech., 108, 123-142 (2002).
  
  
• Stone, P. A., Waleffe, F. and Graham, M. D., "Toward a structural understanding of turbulent drag reduction: nonlinear coherent states in viscoelastic shear flows", Phys. Rev. Lett., 89, 208301 (2002).
  
  
• von Pfeil, K., Graham, M. D., Klingenberg, D. J. and Morris, J. F., "A two-fluid model for electro- and magnetorheological suspensions," Int. J. Modern Phys. B, 16, 2669 (2002).
  
  
• von Pfeil, K., Graham, M. D., Morris, J. F. and Klingenberg, D. J., "Pattern formation in flowing electrorheological fluids," Phys. Rev. Lett., 88, 188301 (2002).
  
  
• Jendrejack, R. M., de Pablo, J. J. and Graham, M. D., "Stochastic Simulations of DNA in flow: dynamics and the effects of hydrodynamic interactions," J. Chem. Phys. 116, 7752-7759 (2002).
  
  
• Black, W. B. and Graham, M. D., "Slip, concentration fluctuations, and flow instability in sheared polymer solutions," Macromolecules, 34, 5731-5733 (2001).
  
  
• Kumar, K. A., "Analysis and Suppression of Instabilities in Viscoelastic Flows", Doctoral dissertation (2001).
  
  
• Graham, M. D. and Ganter, S. L., "The interface between chemical engineering and mathematics: what do students really need?", Chemical Engineering Education, 35(2), 152-156 (2001).
  
  
• Kumar, K. A. and Graham, M. D. "Finite amplitude solitary states in viscoelastic shear flow: computation and mechanism", J. Fluid Mech., 443, 301-328 (2001).
  
  
• Beris, A. N., Graham, M. D., Karlin, I. and Öttinger, H.-C. "Comment on `Convective nonlinearity in non-Newtonian liquids' ", Phys. Rev. Lett., 86, 744 (2001).
  
  
• Baier, G., Graham, M. D. and Lightfoot, E. N., "Mass transport in a novel two-fluid Taylor vortex extractor," AIChE J., 46, 2395-2407 (2000).
  
  
• Kumar, K. A. and Graham, M. D, "Solitary coherent structures in viscoelastic shear flow: computation and mechanism," Phys. Rev. Lett., 85, 4056-4059 (2000).
  
  
• Ramanan, V. V. and Graham, M. D., "Stability of viscoelastic shear flows subjected to parallel flow superposition," Phys. Fluids, 12, 2702-2710 (2000).
  
  
• Jendrejack, R. M., Graham, M. D. and de Pablo, J. J., "Hydrodynamic effects in long chain polymers: application of the Chebyshev polynomial approximation in stochastic simulations," J. Chem. Phys. 113, 2894-2900 (2000).
  
  
• Baier, G. and Graham, M. D., "Two-fluid Taylor-Couette flow with countercurrent axial flow: linear theory for immiscible liquids between corotating cylinders," Phys. Fluids, 12, 294-303 (2000).
  
  
• Wang, Q., Nath, S. K., Graham, M. D., Nealey, P. F. and de Pablo, J. J. "Symmetric diblock copolymer thin films confined between homogeneous and patterned surfaces: simulations and theory," J. Chem. Phys. 112, 9996-10010 (2000).
  
  
• Kumar, K. A. and Graham, M. D., "Buckling instabilities in models of viscoelastic free surface flows," J. Non-Newtonian Fluid Mech., 89, 337-351 (2000).
  
  
• Black, W. B., "Wall Slip and Boundary Effects in Polymer Shear Flows", Doctoral dissertation (2000).
  
  
• Yarin, A.L., Gospodinov, P., Gottlieb, O. and Graham, M.D., "Newtonian glass fiber spinning: chaotic variation of the cross-sectional radius," Phys. Fluids, 11, 3201-3208 (1999).
  
  
• Black, W. B.  and Graham, M. D., "Effect of wall slip on the stability of viscoelastic plane shear flow," Phys. Fluids, 11, 1749-1756 (1999).
  
  
• Baier, G., "Liquid-Liquid Extraction Based on a New Flow Pattern:  Two-Fluid Taylor-Couette Flow", Doctoral dissertation (1999).
  
  
• Graham, M. D., "The sharkskin instability of polymer melt flows," Chaos 9, 154-163 (1999).
  
  
• Ramanan, V. V., Kumar, K. A. and Graham, M. D., "Stability of viscoelastic shear flows subjected to steady or oscillatory transverse flow," J. Fluid Mech., 379, 255-277 (1999).
  
  
• Baier, G., Grateful, T. M., Graham, M. D. and Lightfoot, E. N., "Prediction of mass transfer rates in spatially periodic flows," Chem. Eng. Sci., 54, 343-355 (1999).
  
  
• Yarin, A. L. and Graham, M. D., "A model for slip at polymer/solid interfaces," J. Rheol., 42, 1491-1504 (1998).
  
  
• Baier, G. and Graham, M. D., "Two-fluid Taylor-Couette flow: experiments and linear theory for immiscible liquids between corotating cylinders," Phys. Fluids, 10, 3045-3055 (1998).
  
  
• Kumar, K. A. and Graham, M. D. "Effect of pressure-dependent slip on flow curve multiplicity," Rheol. Acta, 37, 245-255 (1998).
  
  
• Lauterbach, J., Asakura, K., Rasmussen, P. B., Rotermund, H.-H., Bär, M., Graham, M. D., Kevrekidis, I. G. and Ertl, G. "Catalysis on mesoscopic composite surfaces: influence of palladium boundaries on pattern formation during CO oxidation on Pt(110)," Physica D, 123, 493-501 (1998).
  
  
• Graham, M. D. "Effect of axial flow on viscoelastic Taylor-Couette instability," J. Fluid Mech., 360, 341-374 (1998).
  
  
• Bird, R. B. and Graham, M. D. "The Equations of Newtonian Fluid Dynamics", Chapter 3 in The Handbook of Fluid Dynamics, ed. R. W. Johnson, CRC Press (1998).
  
  
• Bell, T. L., Nyland, G. H., dePablo, J. J. and Graham, M. D., "Combined Brownian dynamics and spectral method simulations of the recovery of polymeric liquids after shear flow," Macromolecules, 30, 1806-1812 (1997).
  
  
• Black, W. B. and Graham, M. D., "Wall-slip and polymer-melt flow instability," Phys. Rev. Lett., 77, 956-959 (1996).
  
  
• Black, W. B. and Graham, M. D., "Dynamic slip and polymer melt flow instabilities," proceedings of the Institute for Mechanics and Materials Workshop on Material Instabilities, Davis, CA, Oct. 1995.
  
  
• Graham, M. D., "Wall-slip and the nonlinear dynamics of large amplitude oscillatory shear flows," J. Rheol., 39, 697-712 (1995).
  
  
• Bangia, A. K., Bär, M., Kevrekidis, I. G., Graham, M. D., Rotermund, H.-H. and Ertl, G., "Catalysis on microcomposite surfaces," Chem. Eng. Sci., 51, 1757-1765 (1996).
  
  
• Graham, M. D. and Kevrekidis, I. G., "Pattern analysis and model reduction: some alternative approaches to the Karhunen-Lòeve decomposition," Computers Chem. Engng., 20, 495-506 (1996).
  
  
• Graham, M. D., Kevrekidis, I. G., Hudson, J. L., Veser, G., Krischer, K. and Imbihl, R., "Dynamics of concentration patterns of the NO+CO reaction on Pt: analysis with the Karhunen-Loève decomposition," Chaos, Solitons and Fractals, 5, 1817-1831 (1995).
  
  
• Graham, M. D., Bär, M., Kevrekidis, I. G., Asakura, K., Lauterbach, J., Rotermund, H.-H. and Ertl, G., "Catalysis on microstructured surfaces: pattern formation during CO oxidation in complex Pt domains," Phys. Rev. E, 52, 76-93 (1995).
  
  
• Graham, M. D., Kevrekidis, I. G., Asakura, K., Lauterbach, J., Krischer, K., Rotermund, H.-H. and Ertl, G., "Effects of boundaries on pattern formation: catalytic oxidation of CO on platinum," Science, 264, 80-82 (1994).
  
  
• Graham, M. D. and Steen, P. H., "Plume formation and resonant bifurcations in porous media convection," J. Fluid Mech., 272, 67-89 (1994).
  
  
• Graham, M. D., Middya, U. and Luss, D., "Pulses and global bifurcations in a nonlocal reaction-diffusion system," Phys. Rev. E, 48, 2917-2923 (1993).
  
  
• Lane, S. L., Graham, M. D. and Luss, D., "Spatiotemporal dynamics during hydrogen oxidation on a nickel disk," AIChE J., 39, 1497-1508 (1993).
  
  
• Graham, M. D., Lane, S. L. and Luss, D., "Temperature pulse dynamics on a catalytic ring," J. Phys. Chem., 97, 7564-7571 (1993).
  
  
• Graham, M. D., Steen, P. H. and Titi, E. S., "Computational efficiency and approximate inertial manifolds for a Bénard convection system," J. Nonlin. Sci., 3, 153-167 (1993).
  
  
• Middya, U., Sheintuch, M., Graham, M. D. and Luss, D., "Patterns of temperature pulses on electrically heated catalytic ribbons," Physica D, 63, 393-409 (1993).
  
  
• Middya, U., Graham, M. D., Luss, D. and Sheintuch, M., "Pattern selection in controlled reaction-diffusion systems," J. Chem. Phys. 98, 2823-2836 (1993).
  
  
• Graham, M. D., Lane, S. L. and Luss, D., "Proper orthogonal decomposition analysis of spatiotemporal temperature patterns," J. Phys. Chem. 97, 889-894 (1993).
  
  
• Graham, M. D., Müller, U. and Steen, P. H., "Time-periodic convection in Hele-Shaw slots: the diagonal oscillation," Phys. Fl. A, 4, 2382-2393 (1992).
  
  
• Graham, M. D. and Steen, P. H., "Strongly interacting traveling waves and quasiperiodic dynamics in porous medium convection," Physica D, 54, 331-350 (1992).
  
  
• Graham, M. D. and Steen, P. H., "Structure and mechanism of oscillatory convection in a cube of fluid-saturated porous material heated from below," J. Fluid Mech., 232, 591-609 (1991).
  
  
• Dellinger, B., Graham, M. D. and Tirey, D. A., "Predicting emissions from the thermal processing of hazardous wastes," Hazardous Waste ; Hazardous Materials, 3(3) (1986).