Dynamical Systems and Chaos

Professor Mihir Sen
Department of Aerospace and Mechanical Engineering
University of Notre Dame
Notre Dame, IN 46556

Research

• Reviews:
  • The Influence of Developments in Dynamical Systems Theory on Experimental Fluid Mechanics, Sen, M., in Frontiers in Experimental Fluid Mechanics, (editor) M. Gad-el-Hak, Lecture Notes in Engineering, Springer-Verlag, Berlin, Germany, Vol. 46, pp. 1-23, 1989.
  • Chaotic Mixing for Heat Transfer Enhancement, H.-C. Chang and M. Sen, in Applied Chaos, (editors) J.H. Kim, J. Stringer, John Wiley & Sons, New York, Chap. 6, pp. 175-188, 1992.
  • One-Dimensional Modeling of Thermosyphons with Known Heat Flux, M. Sen, C. Treviño and E. Ramos, in Trends in Heat, Mass and Momentum Transfer, (editor) J. Menon, Council of Scientific Research Integration, Trivandrum, India, Vol. 2, pp. 161-172, 1992.
  • Capillary Tube Boiling, M. Sen, in Experiments in Heat Transfer and Thermodynamics, (editor) R.A. Granger, Cambridge University Press, Cambridge, U.K., pp. 127-134, 1994.
  • Chaotic Particle Paths and Heat Transfer in Internal Flows, M. Sen and H.-C. Chang, in Towards the Harnessing of Chaos, (editor) M. Yamaguti, Elsevier, Amsterdam, Holland, pp. 397-400, 1994.
• Thermosyphon loops:
  Journal publications
  • One-Dimensional Thermosyphon Analysis, M. Sen and C. Treviño, Latin American Journal of Heat and Mass Transfer, Vol. 7, No. 2, pp. 135-150, 1983.
  • The Toroidal Thermosyphon with Known Heat Flux, M. Sen, E. Ramos and C. Treviño, International Journal of Heat and Mass Transfer, Vol. 28, No. 1, pp. 219-233, 1985.

    

  • One-Dimensional Modeling of Multiple Loop Thermosyphons, M. Sen and J. L. Fernandez, International Journal of Heat and Mass Transfer, Vol. 28, No. 9, pp. 1788-1790, 1985.
  • A Steady-State Analysis for Variable Area One- and Two-Phase Thermosyphons, E. Ramos, M. Sen and C. Treviño, International Journal of Heat and Mass Transfer, Vol. 28, No. 9, pp. 1711-1719, 1985.
  • On the Steady-State Velocity of the Inclined Toroidal Thermosyphon, M. Sen, E. Ramos and C. Treviño, ASME Journal of Heat Transfer, Vol. 107, No. 4, pp. 974-977, 1985.
  • Two-Phase Natural Circulation in a Toroidal Loop, E. Manero, M. Sen and E. Ramos, Wärme- und Stoffübertragung, Vol. 21, pp. 41-49, 1987.
  • Natural Convection in a Thin Horizontal Porous Annulus, M. Sen and K.E. Torrance, International Journal of Heat and Mass Transfer, Vol. 30, No. 4, pp. 729-739, 1987.
  • Single-Phase Natural Circulation in a Tilted Square Loop, R. Acosta, M. Sen and E. Ramos, Wärme- und Stoffübertragung, Vol. 21, No. 5, pp. 269-275, 1987.
  • A One-Dimensional Model of a Thermosyphon with Known Wall Temperature, M. Gordon, E. Ramos and M. Sen, International Journal of Heat and Fluid Flow, Vol. 8, No. 3, pp. 177-181, Sept. 1987.
  • Initial Behavior of Solutions to the Lorenz Equations, W. Fiszdon and M. Sen, International Journal of Non-Linear Mechanics, Vol. 23, No. 1, pp. 53-66, 1988.
  • Analytical and Experimental Study of Steady-State Convection in a Double Loop Thermosyphon, M. Sen, D. Pruzan and K.E. Torrance, International Journal of Heat and Mass Transfer, Vol. 31, No. 4, 709-722, 1988.
  • Flow in Conjugate Natural Circulation Loops, O. Salazar, M. Sen and E. Ramos, AIAA Journal of Thermophysics and Heat Transfer, Vol. 2, No. 2, pp. 180-183, 1988.
  • The Effect of Axial Conduction on a Thermosyphon with Prescribed Heat Flux, M. Sen, E. Ramos, C. Treviño and O. Salazar, European Journal of Mechanics, B/Fluids, Vol. 8, No. 1, pp. 57-72, 1989.
  • Analysis of Natural Convection in a Rotating Open Loop, M.A. Stremler, D.R. Sawyers, M. Sen, AIAA Journal of Thermophysics and Heat Transfer, Vol. 8, No. 1, pp. 100-106, 1994.
  • Analysis of a Square Natural Convective Loop, C. Treviño and M. Sen, European Journal of Mechanics, B/Fluids, Vol. 13, No. 5, pp. 591-611, 1994.
  • Nonlinear Analysis of Tilted Toroidal Thermosyphon Models, A. Pacheco-Vega, W. Franco, H.-C. Chang and M. Sen, International Journal of Heat and Mass Transfer, Vol. 45, No. 7, pp. 1379-1391, 2002.
• Chaotic advection:
  Journal publications
  • Heat Transfer Enhancement due to Slender Recirculation and Chaotic Transport Between Counter-Rotating Eccentric Cylinders, S. Ghosh, H.-C. Chang, and M. Sen, Journal of Fluid Mechanics, Vol. 238, pp. 119-154, 1992.
  • Heat Transfer Enhancement in Coiled Tubes by Chaotic Mixing, N. Acharya, M. Sen and H.-C. Chang, International Journal of Heat and Mass Transfer, Vol. 35, No. 10, pp. 2475-2489, 1992.
  • Application of Chaotic Advection to Heat Transfer, H.-C. Chang and M. Sen, Chaos, Solitons and Fractals, Vol. 4, No. 6, pp. 955-975, 1994 (also in Chaos Applied to Fluid Mixing, Eds. H. Aref, M.S. El Naschie, pp. 211-231, Pergamon Press, 1995).
  • Effect of Chaotic Interfacial Stretching on Bimolecular Chemical Reaction in Helical-Coil Reactors, D.R. Sawyers, M. Sen and H.-C. Chang, The Chemical Engineering Journal, Vol. 64, No. 1, pp. 129-139, 1996.
  • Heat Transfer Enhancement in Three-Dimensional Corrugated Channel Flow, D.R. Sawyers, M. Sen and H.-C. Chang, International Journal of Heat and Mass Transfer, Vol. 41, No. 22, pp. 3559-3573, 1998.
• Two-phase and boiling:
  Journal publications
  • Statistics of Boiling in a Capillary U-Tube, D.R. Kabele, M. Sen and P.F. Dunn, International Communications in Heat and Mass Transfer, Vol. 23, No. 1, pp. 34-44, 1996.
  • Dynamics of Boiling from a Short Capillary Tube, E. Ramos, P. Parmananda, G. Hernandez-Cruz and M. Sen, Experimental Heat Transfer, Vol. 10, pp. 273-290. 1997.
• Fluid mechanics:
  Journal publications
  • Low-Reynolds Number Flow over a Rotatable Cylinder-Splitter Plate Body, J.C. Xu, M. Sen and M. Gad-el-Hak, Physics of Fluids A, Vol. 2, No. 11, pp. 1925-1927, 1990.
  • The Periodicity of Droplets Emanating from Interconnected Orifices, D.M. Weis, P.F. Dunn and M. Sen, Experiments in Fluids, Vol. 13, pp. 257-266, 1992.
  • Dynamic Analysis of a Hemispherical Dome Levitated by an Air Jet, M. Sen, Applied Mathematical Modelling, Vol. 17, No. 5, pp. 226-235, 1993.
  • Dynamics of a Rotatable Cylinder with Splitter Plate in Uniform Flow, J.C. Xu, M. Sen and M. Gad-el-Hak, Journal of Fluids and Structures, Vol. 7, No. 4, pp. 401-416, 1993.
  • Numerical and Experimental Investigation of Flow Past a Freely Rotatable Square Cylinder, T. Zaki, M. Sen and M. Gad-el-Hak, Journal of Fluids and Structures, Vol. 8, No. 6, pp. 555-582, 1994.
  • Comparison of Thermal-Hydraulic Network Control Strategies, W. Franco, M. Sen, K.T. Yang and R.L. McClain, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Vol. 217, pp. 35-47, 2003.

Theses and dissertations

• Master's theses
  • Analysis of the Transient Behavior of a Thermosyphon, J.A. Rojas, 1980.
  • Flow in Conjugate Thermosyphon Loops, O. Salazar, 1984.
  • Deterministic Chaos in Nucleate Boiling, N. Acharya, 1989.
  • Analysis of Flow over Fixed and Rotatable Cylinder-Splitter Plate Body (Co-Director), J.C. Xu, 1990.
  • Experimental and Numerical Investigation of Flow Past a Freely Rotatable Square Cylinder (Co-Director), T.G. Zaki, 1991.
  • Dynamic Modeling and Thermal Control of Multi-Room Cooling, Z. Xiao, 1999.
• PhD dissertations
  • Experimental and Numerical Investigation of Heat Transfer Enhancement by Chaotic Mixing, N. Acharya, 1992.
  • Mathematical Modeling of Thermocompressive and Thermoacoustic Machines (Co-Director), D. Omari, 1996.
  • Heat Transfer Enhancement by Regular and Chaotic Mixing in Laminar Channel Flow, D.R. Sawyers, 1997.