Journal Articles:
  1. "A Study on Slow Evaporation of Liquids in a Dual-Porosity Porous Medium using Square Network Model", K M. Pillai , M. Prat, M. Marcoux, International Journal of Heat and Mass Transfer, in press. 
  2. "Finite Element Implemetation of Stress-Jump and Stress-Continuity Conditions at Porous-Medim, Clear-Fluid Interace", Hua Tan and Krishna M. Pillai, Computers and Fluids, in press.
  3. "A Deviation from Darcy's law due to Unsaturated Flow in Dual-Scale Porous Media", Murthy S. Munagavalasa and Krishna M. Pillai, Journal of Porous Media, in press.
  4. "A method to estimate the accuracy of radial flow based permeability measuring devices," Hua Tan and Krishna M. Pillai, Journal of Composite Materials, in press.
  5. "Effect of Fiber-Mat Anisotropy on 1D Mold Filling in LCM: A Numerical investigation," Hua Tan and Krishna M. Pillai, Polymer Composites, 29(8), 869-882, 2008.
  6. "Darcy's Law based Models for Liquid Absorption in Polymer Wick," R. Masoodi, Krishna M. Pillai, PP. Varanasi, AIChE Journal, Vol 53, No. 11, 2769-2782, 2007.
  7. "Variations in Unsaturated Flow with Flow Direction in Resin Transfer Molding: An Experimental Investigation," Hua Tan, Tonmoy Roy and Krishna M. Pillai, Composites Part A: Applied Science and Manufacturing, 38(8), 1872-1892, 2007.
  8. "A method to estimate the accuracy of 1-D flow based permeability measuring devices," Tonmoy Roy, Hua Tan and Krishna M. Pillai, Journal of Composite Materials, 41(17), 2037-2055, 2007.
  9. “An estimation of effective thermal conductivity of a fibrous dual-scale porous medium during unsaturated flow”, M. Munagavalasa and K.M. Pillai, International Journal of Heat and Mass Transfer,  49, p 317-328, 2006.
  10. “Analyzing the effects of bubbles, inlet-pipe expansion, and mold deflection on the mold-filling process in liquid composite molding: existence, uniqueness and convergence of solutions,” K. McLeod and K.M. Pillai, a personal web publication.
  11. “Characterization of dual-scale fiber mats for unsaturated flow in liquid composite molding,”  T. Roy and K.M. Pillai,  Polymer Composites, 26(6): 756-769, Dec 2005.
  12. “A Numerical Study of Non-Isothermal Reactive Flow in a Dual-Scale Porous Medium under Partial Saturation”, K.M. Pillai and R.S. Jadhav, Numerical Heat Transfer, Part A: Applications, 46: 1-28, 2004.
  13. “Unsaturated flow in liquid composite molding processes: a review and some thoughts”, K.M. Pillai, Journal of Composite Materials,  vol. 38, n 23 Dec 2004, p2097-2118..
  14. “Governing equations for unsaturated flow through woven fiber mats, Part 2: Nonisothermal reactive flows”, K.M. Pillai and M.S. Munagavalsa, Composites Part A: Applied Science and Manufacturing, v 35, 2004, p403-415.
  15. “Experimental Investigation of the effect of fiber-mat architecture on the unsaturated flow in liquid composite molding”, B.Z. Babu and K. M. Pillai, Journal of Composite Materials, v 38, n 1, 2003, p 57-79.
  16. “A Numerical Study of Heat Transfer during Unsaturated Flow in Dual-Scale Porous Media”, R.S. Jadhav and K.M. Pillai,  Numerical Heat Transfer, Part A: Applications, v 43, 2003, p385-407.
  17. "Governing Equations for Unsaturated Flow in Woven Fiber Mats: Part 1 Isothermal Flows", Krishna M. Pillai, Composites Part A: Applied Science and Manufacturing, v33, 2002, p1007-1019.
  18. "Investigation of Unsaturated Flow in woven, braided and stitched fiber mats during mold  filling in Resin Transfer Molding", J. Slade, K. M. Pillai and S. G. Advani, Polymer Composites, v 22, no. 4, Aug. 2001, pp. 491-505.
  19. "Numerical Simulation of Injection/Compression Liquid Composite Molding.  Part 2: Preform Compression''.  K. M. Pillai, F. R. Phelan Jr.  and C. L. Tucker III, Composites Part A: Applied Science and Manufacturing, v32, n2, Feb 2001, p 207-220.
  20. "Numerical  Simulation  of  Crystallization  in  High  Density  Polyethylene  Fibers'', K. M. Pillai, A. Benard, K. I. Jacob  and  S. G. Advani, Polymer Engineering and Science, v 40, no. 11, Nov 2000, pp. 2356-2373.
  21. ``Numerical Simulation of Injection/Compression Liquid Composite Molding.  Part 1: Mesh Generation'', K. M. Pillai, F. R. Phelan Jr.  and C. L. Tucker III, Composites Part A: Applied Science and Manufacturing, v 31, no. 1, Jan 2000, pp. 87-94.
  22. "Numerical Simulation of Unsaturated Flow in Woven or Stitched Fiber Mats in Resin Transfer Molding'', K. M. Pillai and S. G. Advani, Polymer Composites, v 19, no.1, Feb. 1998, pp. 71-80.
  23. "A Model for Unsaturated Flow in Woven or Stitched Fiber Mats during mold filling in Resin Transfer Molding'', K. M. Pillai and S. G. Advani, Journal of Composite Materials, v 32, no.  19, 1998, pp.1753-1783.
  24. "A Simple Model for the Variation of Permeability due to Partial Saturation in Dual Scale Porous Media'', Y. D. Parseval, K. M. Pillai and S. G. Advani, Transport in Porous Media, 27, 1997, pp. 243-264.
  25. ``Wicking across a Fiber-bank'', K. M. Pillai and S. G. Advani, Journal for Colloid and Interface Science, v 183, no.1, 1996, p100-110.
  26. "Numerical and Analytical Study to Estimate the Effect of Two Length Scales upon the Permeability of a Fibrous Porous Medium", K. M. Pillai and S. G. Advani, Transport in Porous Media, v 21, 1995, pp.1-17.
  27. "A Numerical Study of Oil Recovery Using Water Injection Method'', K. M. Pillai and K. Muralidhar,  Numerical Heat Transfer Part A: Applications, v 24, No.  3, 1993, pp. 305-322.
  28. "Application of an Operator Splitting Algorithm for Advection-Diffusion Problems'', K. Muralidhar, Verghese and K. M. Pillai, Numerical Heat Transfer Part A : Applications, V 23, No 1, 1993, pp. 99-113.
  29. "Numerical Modeling of Enhanced Oil Recovery Using Water Injection Method'', K. M. Pillai and K. Muralidhar, The Journal of Institution of Engineers (India), 1992.

Journal Articles under review or under preparation:

  1. "The Effect of Hydraulic Pressure on the Wicking Rate into the Wipes," R. Masoodi, Krishna M. Pillai, P.P. Varanasi, Journal of Engineered Fibers and Fabrics, under review.
  2. "Darcy Model for Wicking in Paper-Like Swelling Porous Media," R. Masoodi and K.M. Pillai, ready for submission.
  3. “Analyzing the effects of bubbles, inlet-pipe expansion, and mold deflection on the mold-filling process in liquid composite molding: 1-D flow,” K.M. Pillai, ready for submission.
  4. “Analyzing the effects of bubbles, inlet-pipe expansion, and mold deflection on the mold-filling process in liquid composite molding: Radial flow,” T.Roy and K.M. Pillai, ready for submission.
  5. "Finite Element Modeling of 3-D Liquid Absorption in Polymer Wicks," R. Masoodi, H. Tan and K.M. Pillai, under preparation.
Conference Papers & Presentations:
  1. "Simulating unsaturated flow in dual length-scale porous media," H. Tan and K.M. Pillai, an invited  presentation, 1st InterPore (International Society for Porous Media) Conference, Kaiserslautern, Germany, March 11-14, 2009.
  2. "Numerical simulation of wicking in porous media using clear-front flow model," R. Masoodi, H. Tan, and K.M. Pillai, a poster, 1st InterPore (International Society for Porous Media) Conference, Kaiserslautern, Germany, March 11-14, 2009.  
  3. “Hybrid Micro-Nano Composites,” K.M. Pillai, a presentation at Society of Plastics Engineers (SPE) Minitec on Next Generation Polymeric Materials, Milwaukee, Oct 21, 2008. 
  4. "Evaluation of Boundary conditions at the clear-fluid and porous-medium interface using BEM," Hua Tan, X. Chen, K. M. Pillai and T. D. Papathanasiou, 9th International Conference on Flow Processes in Composite Materials (FPCM9),  Montreal, 8-10 July, 2008.
  5. "Effect of Preform Aspect Ratio on Permeability measured through 1D Flow Experiments,"  Ehsan M. Languri, Andrew Vechart, Hua Tan and Krishna M. Pillai, 9th International Conference on Flow Processes in Composite Materials (FPCM9), Montreal, 8-10 July, 2008.
  6. "Prediction of Permeability in a Dual-Scale Fiber Mat using Two Different Unit Cells," Hua Tan, Ehsan M. Languri and Krishna M. Pillai, 9th International Conference on Flow Processes in Composite Materials (FPCM9), Montreal, 8-10 July, 2008.
  7. "Effect of Preform Aspect Ratio on the Transient 1-D Mold Filling in LCM,"  Ehsan M. Languri, Hua Tan and Krishna M. Pillai, 9th International Conference on Flow Processes in Composite Materials (FPCM9), Montreal, 8-10 July, 2008.
  8. "Role of Hydraulic and Capillary Radii in Improving the Effectiveness of Capillary Model in Wicking", R Masoodi, K M Pillai and P Varanasi, ASME Summer Conference, Jacksonville FL, USA, August 10-14, 2008.
  9. "A New Method to Estimate Permeability of Isotropic Fiber Mats through Radial Flow," Hua Tan and Krishna M. Pillai, SAMPE 2007, June 3-7, Baltimore.
  10. "Calibration of 1-D Flow and Radial Flow Based Permeability Measuring Devices," Hua Tan, Tonmoy Roy, and Krishna M. Pillai, SAMPE 2007, June 3-7, Baltimore.
  11. “Deviation from Darcy’s law: an implication of unsaturated flow in dual-scale fiber mats in LCM,” M. Munagavalasa and K. M. Pillai, a paper presented in 8th International Conference on Flow Processes in Composites Materials (FPCM8) in Douai, France in 11-13 July, 2006
  12. “Investigation of direction-dependent unsaturated flow in anisotropic dual-scale fiber-mats of LCM,” T. Roy and K. M. Pillai, a paper presented in 8th International Conference on Flow Processes in Composites Materials (FPCM8) in Douai, France in 11-13 July, 2006
  13. ``Variations in the unsaturated flow with flow direction in liquid composite molding,’’ T. Roy and K.M. Pillai, a presentation in IMECE (International Mechanical Engineering Congress & Exposition) 2005, Orlando (FL), USA, Nov 5-11, 2005.
  14. ``Experimental investigations of the unsaturated flow in Liquid Composite Molding'', T. Roy, C. Dulmes, and K.M. Pillai, Proceedings of the 5th Canadian-International Conference in Vancouver, Canada, August 16-19, 2005 http://www.cancom2005.ca/
  15. ``Some studies on modeling the unsaturated flow in woven, stitched or braided fiber mats in LCM", T. Roy, B.Z. Babu, R.S. Jadhav, M.S. Munagavalasa and K.M. Pillai, Proceedings of the 7th International Conference on Flow Processes in Composites Materials, 7-10 July, 2004, Newark, DE USA.
  16. ``First steps towards quantitative validation of the unsaturated flow theories in liquid composite molding’’, T. Roy,  B.Z. Babu and K.M. Pillai, Proceedings of ASME International: Summer Heat Transfer Conference, Las Vegas (Nevada), July 21-23, 2003.
  17. ``Investigation of heat transfer and cure during the unsaturated flow in woven, stitched and braided mats’’, R.S. Jadhav and K.M. Pillai, Proceedings of ASME International: Summer Heat Transfer Conference, Las Vegas (Nevada), July 21-23, 2003.
  18. ``New Experimental Findings on Resin Impregnation Process for Woven, Stitched or Braided Fiber Mats in Liquid Composite Molding’’, B.Z. Babu and K.M. Pillai, 47th International SAMPE Symposium Conference Proceedings, May 2002.
  19. ``Developing Next-Generation Mold-Filling Simulations for LCM Processes in Polymer Composites’’, invited poster at ``CAE in Polymer Processing’’, Gordon Research Conference, Ventura CA, Feb 2001.
  20. "Micro-macro Coupling in Semi-crystalline Polymers'', S. G. Advani, A. Benard, K. M. Pillai and K. I. Jacob, The 1998 International Mechanical Engineering Congress and Exposition by ASME, Anaheim (CA), Nov. 1998.
  21. "Modeling Mold Filling in Injection/Compression Liquid Composite Molding'', K. M. Pillai, F. R. Phelan Jr.  and C. L. Tucker III, American Society for Composites Meeting, Baltimore, Sep. 1998.
  22. "Injection/Compression Liquid Composite Molding 3-D Flow Simulation'', F. R. Phelan Jr., K. M. Pillai and C. L. Tucker III, AIChE Annual Meeting, Nov. 1997.
  23. "Some Mold Filling Issues in Liquid Composite Molding Processes: Modeling and Experiments'', S. Bickerton, P. Simacek, J. Mogavero, K. M. Pillai and S. G. Advani, ANTEC'97 held by the Society of Plastics Engineers, Toronto, April-May 1997.
  24. "Modeling of Void Migration in Resin Transfer Molding Process'', K. M. Pillai and S. G. Advani,  ASME winter meet, Atlanta (GA), Sep. 1996.
  25. Presented a poster on "Macroscopic Modeling of Void Formation in RTM'', Liquid Composite Molding Workshop, Columbus (OH), June 1996.
  26. "A Two Layer Model of Permeability in the Unsaturated Flow Regime for a woven RTM preform'', K. M. Pillai and S. G. Advani, American Society for Composites meeting, Sep. 1994.
  27. "Modeling the Heterogeneities Present in Preforms During Mold Filling in RTM'', K. M. Pillai, M. Bruschke, T. Luse, R. Parnas and S. G. Advani, 25th International SAMPE Technical Conference, Philadelphia, Oct. 1993.
  28. "Operator Splitting Algorithm for Advection Diffusion Problems'', K. Muralidhar, Verghese and K. M. Pillai, 9th National Heat and Mass Transfer Conference, I.I.T. Madras (India), Dec. 1991.