Academic Appointments

Administrative Appointments

  • Postdoctoral Researcher, Max Planck Institute for Dynamics and Self-Organization (MPI-DS), G¨ottingen, Germany (2010 - 2012)
  • Research Fellow, SAMSI (Statistical and Applied Mathematical Sciences Institute) (2012 - 2012)
  • Assistant Professor, Mechanical Engineering Department, Clemson University (2012 - 2014)
  • Assistant Professor, Mechanical Engineering Department, San Diego State University (2014 - 2016)
  • Assistant Professor, Department of Energy Science and Engineering, Stanford University (2016 - Present)

Honors & Awards

  • Acknowledgement of “excellent reviews”, Transport in Porous Media, Vol 127, Issue 1, pp 1-5, Transport in Porous Media (2019)
  • Department of Energy Young Investigator Award, Basic Energy Sciences Program (2015)
  • GREW (Grants and Research Enterprise Writing) Fellowship, Sp15, San Diego State University (2015)
  • Eastman Chemical Award for Excellence, Clemson University (2013)
  • Research Fellowship Award, SAMSI (2012)
  • ‘Aci e Galatea’ Award to career, Acireale (CT), Italy (2012)
  • Travel Award, Fluxes and Structures in Fluids: Physics of Geospheres International Conference in Moscow, Russia (2009)
  • Travel award, DOE-ERSP 4th Annual PI Meeting (2009)
  • Outstanding Student Paper Award, AGU Fall Meeting (2008)
  • Fellowship, RUI foundation - Politecnico di Milano (2000)

Boards, Advisory Committees, Professional Organizations

  • Referee, Water Resources Research (2012 - Present)
  • Referee, Transport in Porous Media (2012 - Present)
  • Referee, Geophysical Research Letters (2012 - Present)
  • Referee, Environmental Earth Sciences (2012 - Present)
  • Referee, Journal of Fluid Mechanics (2012 - Present)
  • Referee, Journal of Fluids and Structures (2012 - Present)
  • Referee, Physical Review E (2012 - Present)
  • Referee, Physical Review Letters (2012 - Present)
  • Referee, Chemical Engineering Journal, Meccanica (2012 - Present)
  • Referee, Advances in Water Resources (2012 - Present)
  • Referee, SIAM (MMS) Multiscale Modeling and Simulations (2012 - Present)
  • Referee, Revista Mexicana de Ingenieria Quimica (2012 - Present)
  • Panelist and ad-hoc reviewer, National Science Foundation (NSF) (2013 - 2013)
  • Session Co-organizer, AGU Fall Meeting (2013 - 2013)
  • Session Co-organizer, Interpore (2013 - 2013)
  • Ad-hoc reviewer, American Chemical Society (ACS) Petroleum Research Fund (2014 - 2014)
  • Session Co-organizer, American Geophysical Union (2014 - 2014)
  • Session Co-organizer, Computational Methods in Water Resources (2014 - 2014)
  • Scientific Committee Member, 9th Southern California Flow Physics Symposium (SDSU, San Diego) (2015 - 2015)
  • Panelist and ad-hoc reviewer, National Science Foundation (NSF) (2015 - 2016)
  • Scientific Committee Member, Computational Methods in Water Resources (University of Toronto, Canada) (2016 - 2016)

Professional Education

  • Ph.D., Mechanical & Aerospace Engineering Department, University of California, San Diego, Engineering Science w/spec Computational Science (2010)
  • M.Sc., Mechanical & Aerospace Engineering Department, University of California, San Diego, Engineering Physics (2008)
  • M.Sc. equivalent, Politecnico di Milano, Milano, Italy, Environmental Engineering (5-years Laurea, Summa cum Laude) (2005)

Current Research and Scholarly Interests

Energy and environment (battery systems; superhydrophobicity and drag reduction; carbon sequestration); multiscale, mesoscale and hybrid simulations (multiphase and reactive transport processes); effective medium theories; perturbation methods, homogenization and upscaling.

All Publications

  • A mineral precipitation model based on the volume of fluid method COMPUTATIONAL GEOSCIENCES Wang, Z., Battiato, I. 2024
  • Unraveling residual trapping for geologic hydrogen storage and production using pore-scale modeling ADVANCES IN WATER RESOURCES Yu, S., Hu, M., Steefel, C. I., Battiato, I. 2024; 185
  • Automated upscaling via symbolic computing for thermal runaway analysis in Li-ion battery modules JOURNAL OF COMPUTATIONAL SCIENCE Pietrzyk, K., Bucci, G., Behandish, M., Battiato, I. 2023; 74
  • A deep learning upscaling framework: Reactive transport and mineral precipitation in fracture-matrix systems ADVANCES IN WATER RESOURCES Wang, Z., Battiato, I. 2024; 183
  • Non-intrusive hybrid scheme for multiscale heat transfer: Thermal runaway in a battery pack JOURNAL OF COMPUTATIONAL SCIENCE Yao, Y., Harabin, P., Behandish, M., Battiato, I. 2023; 73
  • Automated Symbolic Upscaling: 2. Model Generation for Extended Applicability Regimes WATER RESOURCES RESEARCH Pietrzyk, K., Battiato, I. 2023; 59 (7)
  • Automated Symbolic Upscaling: 1. Model Generation for Extended Applicability Regimes WATER RESOURCES RESEARCH Pietrzyk, K., Battiato, I. 2023; 59 (7)
  • Understanding flow dynamics in membrane distillation: Effects of reactor design on polarization SEPARATION AND PURIFICATION TECHNOLOGY Yao, Y., Yu, S., Battiato, I. 2023; 314
  • Lab on a chip for a low-carbon future. Lab on a chip Datta, S. S., Battiato, I., Ferno, M. A., Juanes, R., Parsa, S., Prigiobbe, V., Santanach-Carreras, E., Song, W., Biswal, S. L., Sinton, D. 2023


    Transitioning our society to a sustainable future, with low or net-zero carbon emissions to the atmosphere, will require a wide-spread transformation of energy and environmental technologies. In this perspective article, we describe how lab-on-a-chip (LoC) systems can help address this challenge by providing insight into the fundamental physical and geochemical processes underlying new technologies critical to this transition, and developing the new processes and materials required. We focus on six areas: (I) subsurface carbon sequestration, (II) subsurface hydrogen storage, (III) geothermal energy extraction, (IV) bioenergy, (V) recovering critical materials, and (VI) water filtration and remediation. We hope to engage the LoC community in the many opportunities within the transition ahead, and highlight the potential of LoC approaches to the broader community of researchers, industry experts, and policy makers working toward a low-carbon future.

    View details for DOI 10.1039/d2lc00020b

    View details for PubMedID 36789954

  • A level-set immersed boundary method for reactive transport in complex topologies with moving interfaces JOURNAL OF COMPUTATIONAL PHYSICS Yousefzadeh, M., Yao, Y., Battiato, I. 2023; 478
  • Impact of large-scale effects on mass transfer and concentration polarization in Reverse Osmosis membrane systems SEPARATION AND PURIFICATION TECHNOLOGY Sitaraman, H., Battiato, I. 2022; 303
  • Homogenization-Informed Convolutional Neural Networks for Estimation of Li-ion Battery Effective Properties TRANSPORT IN POROUS MEDIA Weber, R. M., Korneev, S., Battiato, I. 2022
  • Probing multiscale dissolution dynamics in natural rocks through microfluidics and compositional analysis. Proceedings of the National Academy of Sciences of the United States of America Ling, B., Sodwatana, M., Kohli, A., Ross, C. M., Jew, A., Kovscek, A. R., Battiato, I. 2022; 119 (32): e2122520119


    Mineral dissolution significantly impacts many geological systems. Carbon released by diagenesis, carbon sequestration, and acid injection are examples where geochemical reactions, fluid flow, and solute transport are strongly coupled. The complexity in these systems involves interplay between various mechanisms that operate at timescales ranging from microseconds to years. Current experimental techniques characterize dissolution processes using static images that are acquired with long measurement times and/or low spatial resolution. These limitations prevent direct observation of how dissolution reactions progress within an intact rock with spatially heterogeneous mineralogy and morphology. We utilize microfluidic cells embedded with thin rock samples to visualize dissolution with significant temporal resolution (100 ms) in a large observation window (3 × 3 mm). We injected acidic fluid into eight shale samples ranging from 8 to 86 wt % carbonate. The pre- and postreaction microstructures are characterized at the scale of pores (0.1 to 1 µm) and fractures (1 to 1,000 µm). We observe that nonreactive particle exposure, fracture morphology, and loss of rock strength are strongly dependent on both the relative volume of reactive grains and their distribution. Time-resolved images of the rock unveil the spatiotemporal dynamics of dissolution, including two-phase flow effects in real time and illustrate the changes in the fracture interface across the range of compositions. Moreover, the dynamical data provide an approach for characterizing reactivity parameters of natural heterogeneous samples when porous media effects are not negligible. The platform and workflow provide real-time characterization of geochemical reactions and inform various subsurface engineering processes.

    View details for DOI 10.1073/pnas.2122520119

    View details for PubMedID 35921438

  • Module-Fluidics: Building Blocks for Spatio-Temporal Microenvironment Control. Micromachines Ling, B., Battiato, I. 2022; 13 (5)


    Generating the desired solute concentration signal in micro-environments is vital to many applications ranging from micromixing to analyzing cellular response to a dynamic microenvironment. We propose a new modular design to generate targeted temporally varying concentration signals in microfluidic systems while minimizing perturbations to the flow field. The modularized design, here referred to as module-fluidics, similar in principle to interlocking toy bricks, is constructed from a combination of two building blocks and allows one to achieve versatility and flexibility in dynamically controlling input concentration. The building blocks are an oscillator and an integrator, and their combination enables the creation of controlled and complex concentration signals, with different user-defined time-scales. We show two basic connection patterns, in-series and in-parallel, to test the generation, integration, sampling and superposition of temporally-varying signals. All such signals can be fully characterized by analytic functions, in analogy with electric circuits, and allow one to perform design and optimization before fabrication. Such modularization offers a versatile and promising platform that allows one to create highly customizable time-dependent concentration inputs which can be targeted to the specific application of interest.

    View details for DOI 10.3390/mi13050774

    View details for PubMedID 35630241

  • Chemical and Reactive Transport Processes Associated with Hydraulic Fracturing of Unconventional Oil/Gas Shales. Chemical reviews Jew, A. D., Druhan, J. L., Ihme, M., Kovscek, A. R., Battiato, I., Kaszuba, J. P., Bargar, J. R., Brown, G. E. 2022


    Hydraulic fracturing of unconventional oil/gas shales has changed the energy landscape of the U.S. Recovery of hydrocarbons from tight, hydraulically fractured shales is a highly inefficient process, with estimated recoveries of <25% for natural gas and <5% for oil. This review focuses on the complex chemical interactions of additives in hydraulic fracturing fluid (HFF) with minerals and organic matter in oil/gas shales. These interactions are intended to increase hydrocarbon recovery by increasing porosities and permeabilities of tight shales. However, fluid-shale interactions result in the dissolution of shale minerals and the release and transport of chemical components. They also result in mineral precipitation in the shale matrix, which can reduce permeability, porosity, and hydrocarbon recovery. Competition between mineral dissolution and mineral precipitation processes influences the amounts of oil and gas recovered. We review the temporal/spatial origins and distribution of unconventional oil/gas shales from mudstones and shales, followed by discussion of their global and U.S. distributions and compositional differences from different U.S. sedimentary basins. We discuss the major types of chemical additives in HFF with their intended purposes, including drilling muds. Fracture distribution, porosity, permeability, and the identity and molecular-level speciation of minerals and organic matter in oil/gas shales throughout the hydraulic fracturing process are discussed. Also discussed are analysis methods used in characterizing oil/gas shales before and after hydraulic fracturing, including permeametry and porosimetry measurements, X-ray diffraction/Rietveld refinement, X-ray computed tomography, scanning/transmission electron microscopy, and laboratory- and synchrotron-based imaging/spectroscopic methods. Reactive transport and spatial scaling are discussed in some detail in order to relate fundamental molecular-scale processes to fluid transport. Our review concludes with a discussion of potential environmental impacts of hydraulic fracturing and important knowledge gaps that must be bridged to achieve improved mechanistic understanding of fluid transport in oil/gas shales.

    View details for DOI 10.1021/acs.chemrev.1c00504

    View details for PubMedID 35404590

  • Striving to translate shale physics across ten orders of magnitude: What have we learned? EARTH-SCIENCE REVIEWS Mehmani, Y., Anderson, T., Wang, Y., Aryana, S. A., Battiato, I., Tchelepi, H. A., Kovscek, A. R. 2021; 223
  • Upscaling and Automation: Pushing the Boundaries of Multiscale Modeling through Symbolic Computing An Introduction to Symbolica TRANSPORT IN POROUS MEDIA Pietrzyk, K., Korneev, S., Behandish, M., Battiato, I. 2021
  • Dynamic Modeling of Fouling in Reverse Osmosis Membranes MEMBRANES Ling, B., Xie, P., Ladner, D., Battiato, I. 2021; 11 (5)
  • Upscaling Reactive Transport and Clogging in Shale Microcracks by Deep Learning WATER RESOURCES RESEARCH Wang, Z., Battiato, I. 2021; 57 (4)
  • Concentration polarization over reverse osmosis membranes with engineered surface features JOURNAL OF MEMBRANE SCIENCE Zhou, Z., Ling, B., Battiato, I., Husson, S. M., Ladner, D. A. 2021; 617
  • Multi-Scale Microfluidics for Transport in Shale Fabric ENERGIES Ling, B., Khan, H. J., Druhan, J. L., Battiato, I. 2021; 14 (1)

    View details for DOI 10.3390/en14010021

    View details for Web of Science ID 000607461700001

  • tau-SIMPLE Algorithm for the closure problem in homogenization of stokes flows ADVANCES IN WATER RESOURCES Ling, B., Battiato, I. 2020; 144
  • Scaling of two-phase water-steam relative permeability and thermal fluxes in porous media INTERNATIONAL JOURNAL OF MULTIPHASE FLOW Picchi, D., Battiato, I. 2020; 129
  • Suitability of 2D modelling to evaluate flow properties in 3D porous media TRANSPORT IN POROUS MEDIA Marafini, E., La Rocca, M., Fiori, A., Battiato, I., Prestininzi, P. 2020
  • A Data-Driven Multiscale Framework to Estimate Effective Properties of Lithium-Ion Batteries from Microstructure Images TRANSPORT IN POROUS MEDIA Korneev, S., Arunachalam, H., Onori, S., Battiato, I. 2020; 134 (1): 173–94
  • Impact of Pore-Scale Characteristics on Immiscible Fluid Displacement GEOFLUIDS Mahabadi, N., van Paassen, L., Battiato, I., Yun, T., Choo, H., Jang, J. 2020; 2020
  • Patch-Based Multiscale Algorithm for Flow and Reactive Transport in Fracture-Microcrack Systems in Shales WATER RESOURCES RESEARCH Wang, Z., Battiato, I. 2020; 56 (2)
  • Theory and Applications of Macroscale Models in Porous Media TRANSPORT IN POROUS MEDIA Battiato, I., Ferrero, P. T., O'Malley, D., Miller, C. T., Takhar, P. S., Valdes-Parada, F. J., Wood, B. D. 2019; 130 (1): 5–76
  • High order ghost-cell immersed boundary method for generalized boundary conditions INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER Yousefzadeh, M., Battiato, I. 2019; 137: 585–98
  • Rough or wiggly? Membrane topology and morphology for fouling control JOURNAL OF FLUID MECHANICS Ling, B., Battiato, I. 2019; 862: 753–80
  • Contribution of Pore-Scale Approach to Macroscale Geofluids Modelling in Porous Media GEOFLUIDS Romano, E., Jimenez-Martinez, J., Parmigiani, A., Kong, X., Battiato, I. 2019
  • Bistability of buoyancy-driven exchange flows in vertical tubes JOURNAL OF FLUID MECHANICS Suckale, J., Qin, Z., Picchi, D., Keller, T., Battiato, I. 2018; 850: 525–50
  • Hydrodynamic dispersion in thin channels with micro-structured porous walls PHYSICS OF FLUIDS Ling, B., Oostrom, M., Tartakovsky, A. M., Battiato, I. 2018; 30 (7)

    View details for DOI 10.1063/1.5031776

    View details for Web of Science ID 000440587100032

  • Downscaling-Based Segmentation for Unresolved Images of Highly Heterogeneous Granular Porous Samples WATER RESOURCES RESEARCH Korneev, S. V., Yang, X., Zachara, J. M., Scheibe, T. D., Battiato, I. 2018; 54 (4): 2871–90
  • Universal scaling-law for flow resistance over canopies with complex morphology SCIENTIFIC REPORTS Rubol, S., Ling, B., Battiato, I. 2018; 8: 4430


    Flow resistance caused by vegetation is a key parameter to properly assess flood management and river restoration. However, quantifying the friction factor or any of its alternative metrics, e.g. the drag coefficient, in canopies with complex geometry has proven elusive. We explore the effect of canopy morphology on vegetated channels flow structure and resistance by treating the canopy as a porous medium characterized by an effective permeability, a property that describes the ease with which water can flow through the canopy layer. We employ a two-domain model for flow over and within the canopy, which couples the log-law in the free layer to the Darcy-Brinkman equation in the vegetated layer. We validate the model analytical solutions for the average velocity profile within and above the canopy, the volumetric discharge and the friction factor against data collected across a wide range of canopy morphologies encountered in riverine systems. Results indicate agreement between model predictions and data for both simple and complex plant morphologies. For low submergence canopies, we find a universal scaling law that relates friction factor with canopy permeability and a rescaled bulk Reynolds number. This provides a valuable tool to assess habitats sustainability associated with hydro-dynamical conditions.

    View details for PubMedID 29535341

  • Planning the process parameters for the direct metal deposition of functionally graded parts based on mathematical models JOURNAL OF MANUFACTURING PROCESSES Yan, J., Battiato, I., Fadel, G. M. 2018; 31: 56–71
  • Bistability of buoyancy-driven exchange flows in vertical tubes J. Fluid Mech. Suckale, J., Qin, Z., Picchi, D., Keller, T., Battiato, I. T. 2018
  • Hydrodynamic dispersion in thin porous channels with controlled microtexture Phys. Fluids Ling, B., Oostrom, M. M., Tartakovsky, A. M., Battiato, I. 2018
  • Physics-based hybrid method for multiscale transport in porous media JOURNAL OF COMPUTATIONAL PHYSICS Yousefzadeh, M., Battiato, I. 2017; 344: 320–38
  • Modeling variability in porescale multiphase flow experiments ADVANCES IN WATER RESOURCES Ling, B., Bao, J., Oostrom, M., Battiato, I., Tartakovsky, A. M. 2017; 105: 29–38
  • Design of injection nozzle in direct metal deposition (DMD) manufacturing of thin-walled structures based on 3D models INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY Yan, J., Battiato, I., Fadel, G. 2017; 91 (1-4): 605–16
  • Role of glycocalyx in attenuation of shear stress on endothelial cells: from in vivo experiments to microfluidic circuits Battiato, I., Tartakovsky, D., Cabrales, P., Intaglietta, M., IEEE IEEE. 2017
  • Multiscale Modeling Approach to determine Effective Lithium-Ion Transport Properties Arunachalam, H., Korneev, S., Battiato, I., Onori, S., IEEE IEEE. 2017: 92–97
  • Vertical dispersion in vegetated shear flows WATER RESOURCES RESEARCH Rubol, S., Battiato, I., de Barros, F. P. 2016; 52 (10): 8066-8080
  • Dispersion controlled by permeable surfaces: surface properties and scaling JOURNAL OF FLUID MECHANICS Ling, B., Tartakovsky, A. M., Battiato, I. 2016; 801: 13-42
  • Multiscale models of flow and transport Handbook of Groundwater Engineering Battiato, I. CRC Press. 2016

    View details for DOI 10.1137/16M1074278

    View details for Web of Science ID 000391843200005

  • On Veracity of Macroscopic Lithium-Ion Battery Models JOURNAL OF THE ELECTROCHEMICAL SOCIETY Arunachalam, H., Onori, S., Battiato, I. 2015; 162 (10): A1940-A1951
  • Temperature-dependent multiscale-dynamics in Lithium-Ion battery electrochemical models 2015 AMERICAN CONTROL CONFERENCE (ACC) Arunachalam, H., Onori, S., Battiato, I. 2015: 305-310
  • An Analysis Platform for Multiscale Hydrogeologic Modeling with Emphasis on Hybrid Multiscale Methods GROUNDWATER Scheibe, T. D., Murphy, E. M., Chen, X., Rice, A. K., Carroll, K. C., Palmer, B. J., Tartakovsky, A. M., Battiato, I., Wood, B. D. 2015; 53 (1): 38-56


    One of the most significant challenges faced by hydrogeologic modelers is the disparity between the spatial and temporal scales at which fundamental flow, transport, and reaction processes can best be understood and quantified (e.g., microscopic to pore scales and seconds to days) and at which practical model predictions are needed (e.g., plume to aquifer scales and years to centuries). While the multiscale nature of hydrogeologic problems is widely recognized, technological limitations in computation and characterization restrict most practical modeling efforts to fairly coarse representations of heterogeneous properties and processes. For some modern problems, the necessary level of simplification is such that model parameters may lose physical meaning and model predictive ability is questionable for any conditions other than those to which the model was calibrated. Recently, there has been broad interest across a wide range of scientific and engineering disciplines in simulation approaches that more rigorously account for the multiscale nature of systems of interest. In this article, we review a number of such approaches and propose a classification scheme for defining different types of multiscale simulation methods and those classes of problems to which they are most applicable. Our classification scheme is presented in terms of a flowchart (Multiscale Analysis Platform), and defines several different motifs of multiscale simulation. Within each motif, the member methods are reviewed and example applications are discussed. We focus attention on hybrid multiscale methods, in which two or more models with different physics described at fundamentally different scales are directly coupled within a single simulation. Very recently these methods have begun to be applied to groundwater flow and transport simulations, and we discuss these applications in the context of our classification scheme. As computational and characterization capabilities continue to improve, we envision that hybrid multiscale modeling will become more common and also a viable alternative to conventional single-scale models in the near future.

    View details for DOI 10.1111/gwat.12179

    View details for Web of Science ID 000347981800010

    View details for PubMedID 24628122

  • Single-parameter model of vegetated aquatic flows WATER RESOURCES RESEARCH Battiato, I., Rubol, S. 2014; 50 (8): 6358-6369
  • Effective medium theory for drag-reducing micro-patterned surfaces in turbulent flows EUROPEAN PHYSICAL JOURNAL E Battiato, I. 2014; 37 (3)


    Many studies in the last decade have revealed that patterns at the microscale can reduce skin drag. Yet, the mechanisms and parameters that control drag reduction, e.g. Reynolds number and pattern geometry, are still unclear. We propose an effective medium representation of the micro-features, that treats the latter as a porous medium, and provides a framework to model turbulent flow over patterned surfaces. Our key result is a closed-form expression for the skin friction coefficient in terms of frictional Reynolds (or Kármán) number in turbulent regime, the viscosity ratio between the fluid in and above the features, and their geometrical properties. We apply the proposed model to turbulent flows over superhydrophobic ridged surfaces. The model predictions agree with laboratory experiments for Reynolds numbers ranging from 3000 to 10000.

    View details for DOI 10.1140/epje/i2014-14019-0

    View details for Web of Science ID 000333522000001

    View details for PubMedID 24671449

  • Homogenizability conditions for multicomponent reactive transport ADVANCES IN WATER RESOURCES Boso, F., Battiato, I. 2013; 62: 254-265
  • A reduced complexity model for dynamic similarity in obstructed shear flows GEOPHYSICAL RESEARCH LETTERS Papke, A., Battiato, I. 2013; 40 (15): 3888-3892

    View details for DOI 10.1002/grl.50759

    View details for Web of Science ID 000323660000020

  • Flow-induced shear instabilities of cohesive granulates PHYSICAL REVIEW E Battiato, I., Vollmer, J. 2012; 86 (3)


    In this work we use a multiscale framework to calculate the fluidization threshold of three-dimensional cohesive granulates under shear forces exerted by a creeping flow. A continuum model of flow through porous media provides an analytical expression for the average drag force on a single grain. The balance equation for the forces and a force propagation model are then used to investigate the effects of porosity and packing structure on the stability of the pile. We obtain a closed-form expression for the instability threshold of a regular packing of monodisperse frictionless cohesive spherical grains in a planar fracture. Our result quantifies the compound effect of structural (packing orientation and porosity) and dynamical properties of the system on its stability.

    View details for DOI 10.1103/PhysRevE.86.031301

    View details for Web of Science ID 000308394200001

    View details for PubMedID 23030906

  • Self-similarity in coupled Brinkman/Navier-Stokes flows JOURNAL OF FLUID MECHANICS Battiato, I. 2012; 699: 94-114
  • From Upscaling Techniques to Hybrid Models Mathematical and Numerical Modeling in Porous Media: Applications in Geosciences Battiato, I., Tartakovsky, D. M. CRC. 2012
  • Hybrid models of reactive transport in porous and fractured media ADVANCES IN WATER RESOURCES Battiato, I., Tartakovsky, D. M., Tartakovsky, A. M., Scheibe, T. D. 2011; 34 (9): 1140-1150
  • Applicability regimes for macroscopic models of reactive transport in porous media. Journal of contaminant hydrology BATTIATO, I., Tartakovsky, D. M. 2011; 120-121: 18-26


    We consider transport of a solute that undergoes a nonlinear heterogeneous reaction: after reaching a threshold concentration value, it precipitates on the solid matrix to form a crystalline solid. The relative importance of three key pore-scale transport mechanisms (advection, molecular diffusion, and reaction) is quantified by the Péclet (Pe) and Damköhler (Da) numbers. We use multiple-scale expansions to upscale a pore-scale advection-diffusion equation with reactions entering through a boundary condition on the fluid-solid interface, and to establish sufficient conditions under which macroscopic advection-dispersion-reaction equations provide an accurate description of the pore-scale processes. These conditions are summarized by a phase diagram in the (Pe, Da)-space, parameterized with a scale-separation parameter that is defined as the ratio of characteristic lengths associated with the pore- and macro-scales.

    View details for DOI 10.1016/j.jconhyd.2010.05.005

    View details for PubMedID 20598771

  • Elastic Response of Carbon Nanotube Forests to Aerodynamic Stresses PHYSICAL REVIEW LETTERS Battiato, I., Bandaru, P. R., Tartakovsky, D. M. 2010; 105 (14)


    The ability to determine static and (hydro)dynamic properties of carbon nanotubes (CNTs) is crucial for many applications. While their static properties (e.g., solubility and wettability) are fairly well understood, their mechanical responses (e.g., deflection under shear) to ambient fluid flow are to a large extent unknown. We analyze the elastic response of single-walled CNT forests, attached to the bottom wall of a channel, to the aerodynamic loading exerted by both laminar and turbulent flows. Our analysis yields analytical expressions for velocity distributions, the drag coefficient, and bending profiles of individual CNTs. This enables us to determine flexural rigidity of CNTs in wind-tunnel experiments. The model predictions agree with laboratory experiments for a large range of channel velocities.

    View details for DOI 10.1103/PhysRevLett.105.144504

    View details for Web of Science ID 000282362600004

    View details for PubMedID 21230836

  • On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media ADVANCES IN WATER RESOURCES BATTIATO, I., Tartakovsky, D. M., Tartakovsky, A. M., Scheibe, T. 2009; 32 (11): 1664-1673
  • The Impact of Pore-Scale Flow Regimes on Upscaling of Immiscible Two-Phase Flow in Geothermal Reservoirs Workshop on Geothermal Reservoir Engineering Picchi, D., Battiato, I. 2018