Publications

• Kumar, A., and Graham, M. D. "Mechanism of margination in confined flows of blood and other multicomponent suspensions", Phys. Rev. Lett., 109, 108102 (2012). Selected as an Editors' Suggestion.
• Wang, J., Tozzi, E. J., Graham, M. D., and Klingenberg, D. J. "Flipping, scooping, and spinning: Drift of rigid curved nonchiral fibers in simple shear flow", Phys. Fluids, to appear (2012).
• Kumar, A., and Graham, M. D. "Accelerated boundary integral method for multiphase flow in non-periodic geometries", J. Comput. Phys., 231, 6682-6713 (2012).
• Kumar, A., and Graham, M. D. "Margination and segregation in confined flows of blood and other multicomponent suspensions", Soft Matter, 8, 10536-10548 (2012).
• Pranay, P., Henríquez Rivera, R. G. and Graham, M. D. "Depletion layer formation in suspensions of elastic capsules in Newtonian and viscoelastic fluids", Phys. Fluids, 24, 061902 (2012). Selected for Virtual Journal of Biological Physics Research.
• Xi, L., and Graham, M. D. "Intermittent dynamics of turbulence hibernation in Newtonian and viscoelastic minimal channel flows", J. Fluid Mech., 693, 433–472 (2012).
• Xi, L., and Graham, M. D. "Dynamics on the laminar-turbulent boundary and the origin of the maximum drag reduction asymptote", Phys. Rev. Lett., 108, 028301 (2012).
• Zhang, Y., de Pablo, J. J., and Graham, M. D. "An immersed boundary method for Brownian dynamics simulation of polymer in complex geometries: Application to DNA flowing through a nanoslit with embedded nanopits", J. Chem. Phys., 36, 014901 (2012). Selected for Virtual Journal of Nanoscale Science and Technology.
• Kumar, A., and Graham, M. D. "Segregation by membrane rigidity in flowing binary suspensions of elastic capsules", Phys. Rev. E 84, 066316 (2011). Selected for Virtual Journal of Nanoscale Science and Technology.
• Underhill, P. T., and Graham, M. D. "Correlations and fluctuations of stress and velocity in suspensions of swimming microorganisms", Phys. Fluids 23, 121902 (2011).
• Tamamo, S., Graham, M. D., and Morinishi, Y. "Streamwise variation of turbulent dynamics in boundary layer flow of drag-reducing fluid", J. Fluid Mech. 686, 352-377 (2011).
• Tamano, S., Graham, M. D. and Morinishi, Y. "Streamwise variations in turbulence statistics in drag-reducing turbulent boundary layer of viscoelastic fluids", Proceedings of ASME-JSME-KSME Joint Fluids Engineering Conference 2011 (2011).
• Janssen, P. J. A., and Graham, M. D. "Coexistence of tight and loose bundled states in a model of bacterial flagellar dynamics", Phys. Rev. E 84, 011910 (2011). Selected for Virtual Journal of Biological Physics Research.
• Pranay, P., "Dynamics of Suspensions of Elastic Capsules in Polymer Solution", Doctoral dissertation (2011).
• Zhang, Y., "Brownian Dynamics Simulation of DNA in Complex Geometries", Doctoral dissertation (2011).
• Graham, M. D., "Fluid dynamics of dissolved polymer molecules in confined geometries", Annual Review of Fluid Mechanics, 43, 273-298 (2011).
• Pranay, P., Anekal, S. G., Hernandez-Ortiz, J. P., and Graham, M. D., "Pair collisions of fluid-filled elastic capsules in shear flow: effects of membrane properties and polymer additives", Phys. Fluids, 22, 123103 (2010). Selected for Virtual Journal of Biological Physics Research.
• Xi, L., and Graham, M. D., "Active and hibernating turbulence in minimal channel flow of Newtonian and polymeric fluids", Phys. Rev. Lett. 104, 218301 (2010).
• Xi, L., and Graham, M. D., "Turbulent drag reduction and multistage transitions in viscoelastic turbulent minimal flow units", J. Fluid Mech. ,647, 421-452 (2010).
• Anekal, S.G., Zhu, Y, Graham, M.D., and Yin, J., "Dynamics of Virus Spread in the Presence of Fluid Flow", Integrative Biology ,1, 664-671 (2009).
• Zhang, Y., de Pablo, J. J., and Graham, M. D., "Multiple free energy minima in systems of confined tethered polymers -- toward soft nanomechanical bistable elements", Soft Matter ,5, 3694-3700 (2009).
• Zhang, Y., Donev, A., Weisgraber, T., Alder, B.J. , Graham, M.D., and de Pablo, J.J., "Tethered DNA dynamics in shear flow", J. Chem. Phys., 130, 234902 (2009).
• Xi, L., "Nonlinear dynamics and instabilities of viscoelastic fluid flows", Doctoral dissertation (2009).
• Hernandez-Ortiz, J. P., Underhill, P. T., and Graham, M. D., "Dynamics of confined suspensions of swimming particles", J. Phys: Condens. Matt. ,21, 204107 (2009).
• Xi, L., and Graham, M. D., "A mechanism for oscillatory instability in viscoelastic cross-slot flow", J. Fluid Mech. , 622, 145-165 (2009).
• 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 , 20, 143-152 (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 Microfluidic 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).