Publications on
Averaged Equations for Multiphase Flow

• Zhang, Q. and Prosperetti, A., Physics-based analysis of the hydrodynamic stress in a fluid-particle system, Phys. Fluids 22 , 033306, 2010 PDF file
• Prosperetti, A., Ichiki, K. and Zhang, Q., The stress system in a suspension of heavy particles: antisymmetric contribution, J. Fluid Mech., 554, 125-146, 2006
• Zhang, Q., Ichiki, K. and Prosperetti A. On the computation of ensemble averages for spatially non-uniform particle systems, J. Comput. Phys , 212, 247-267, 2006
• Prosperetti,A. The Average Stress in Incompressible Disperse Flow, Int. J. Multiphase Flow , 30, 1011-1036, 2004
• Ichiki, K. and Prosperetti,A. Faxén theorems for a non-uniform suspension, Phys Fluids, 16, 2483-2496, 2004
• A. Prosperetti, Average stress in a Stokes suspension of disks, Int. J. Multiphase Flow, 30, 1-26, 2004
• Tanksley, M. and Prosperetti, A., " Average pressure and velocity fields in non-uniform suspensions of spheres in Stokes flow," J. Eng. Math.,41(2-3), 275-303,2001.
• Wang, W. and Prosperetti, A., "Flow of spatially non-uniform suspensions. Part III. Closure relations for porous media and spinning particles," Int. J. Multiphase Flow,27 (9), 1627-1653, 2001.
• Marchioro, M., Tanksley, M., Wang, W., and Prosperetti, A., "Flow of spatially non-uniform suspensions. Part II: Systematic derivation of closure relations," Int. J. Multiphase Flow, 27 (2), 237-276, 2001
• Marchioro, M., Tanksley, M., and Prosperetti, A., "Flow of spatially non-uniform suspensions. Part I: Phenomenology," Int. J. Multiphase Flow 26, 783-831, 2000.
• Marchioro, M. and Prosperetti, A., "Heat conduction in a non-uniform composite with spherical inclusions," Proc. Roy. Soc. London A455, 1483-1508, 1999.
• Marchioro, M., Tanksley, M., and Prosperetti, A., "Mixture pressure and stress in disperse two-phase flow," Int. J. Multiphase Flow 25, 1395-1429, 1999.
• Prosperetti, A., "Ensemble averaging techniques for disperse flows," in Particulate Flows: Processing and Rheology, Drew, D.A., Joseph, D.D., and Passman, S.L. Eds., Springer, New York, 99-136, 1998.
• Prosperetti, A., "Some considerations on the modeling of disperse multiphase flows by averaged equations," JSME Int. Journal B42, 573-585, 1999.
• Zhang, D.Z. and Prosperetti, A., "Momentum and energy equations for disperse two-phase flows and their closure for dilute suspensions," Int. J. Multiphase Flow 23, 425-453, 1997.
• Sarkar, K. and Prosperetti, A., "Effective boundary conditions for t\he Laplace^M equation with a rough boundary," Proc. Roy. Soc. 451, \425-452, 1995.^M Abstract
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• Sarkar, K. and Prosperetti, A., "Effective boundary conditions for the Laplace equation with a rough boundary," Proc. Roy. Soc. 451, 425-452, 1995. Abstract
• Duraiswami, R. and Prosperetti, A., "Linear pressure waves in fogs," J. Fluid Mech. 299, 187-215, 1995. PDF File
• Watanabe, M. and Prosperetti, A., "Shock waves in dilute bubbly liquids," J. Fluid Mech. 274, 349-381, 1994.
• Kim, H.S. and Prosperetti, A., "Numerical simulation of the motion of rigid spheres in potential flow," SIAM J. Appl. Math 52, 1533-1562, 1992.
• Sangani, A., Zhang, D.Z., and Prosperetti, A., "The added mass, basset, and viscous drag coefficients in non-dilute bubbly liquids undergoing small-amplitude oscillatory motion," Phys. Fluids A3, 2955-2970 , 1991.
• Commander, K.W. and Prosperetti, A., "Linear pressure waves in bubbly liquids: comparison between theory and experiments," J. Acoust. Soc. Am. 85, 732-746, 1989. PDF File
• Jones, A.V. and Prosperetti, A., "The linear stability of general two-phase flow models," Int. J. Multiphase Flow 13, 161-171, 1987. PDF File
• Prosperetti, A., "A model of bubbly liquids," J. Wave-Material Interaction 1, 413-432, 1986.
• Prosperetti, A. and Jones, A.V., "On the suitability of first-order differential models for the description of multi-phase flows," Int. J. Multiphase Flow 11, 133-148, 1985. PDF File
• Prosperetti, A. and Jones, A.V., "Pressure forces in dispersed two-phase flows," Int. J. Multiphase Flow 10, 425-440, 1984. PDF File
• van Wijngaarden, L. and Prosperetti, A.,"On the characteristics of the equations of motion for a bubbly flow and the related problem of critical flow," J. Eng. Math. 10, 153-162, 1976.