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2.341

Macromolecular Hydrodynamics

3-0-6 units · Graduate

Physical phenomena in polymeric liquids undergoing deformation and flow. Kinematics and material functions for complex fluids; techniques of viscometry, rheometry; and linear viscoelastic measurements for polymeric fluids. Generalized Newtonian fluids. Continuum mechnanics, frame invariance, and convected derivatives for finite strain viscoelasticity. Differential and integral constitutive equations for viscoelastic fluids. Analytical solutions to isothermal and non-isothermal flow problems; the roles of non-Newtonian viscosity, linear viscoelasticity, normal stresses, elastic recoil, stress relaxation in processing flows. Introduction to molecular theories for dynamics of polymeric fluids. (Extensive class project and presentation required instead of a final exam).

Spring 2016

Topics

  • Funny Flow Phenomena
  • Review of Classical Hydrodynamics
  • Equations of Change
  • Material Functions I
  • Material Functions II: Linear Viscoelasticity
  • Material Functions III: Extensional Flows
  • Generalized Newtonian Fluids
  • Generalized Newtonian Fluids (Continued)
  • Linear Viscoelasticity: The Basics
  • Linear Viscoelasticity II
  • Experimental Methods for LVE Time-Temperature Superposition (TTS)
  • Polymer Physics: Dilute Solutions (Rouse/Zimm Theories)
  • Polymer Physics: Reptation of Entangled Melts & Rubbery Materials
  • Ordered Fluid Expansions
  • Ordered Fluid Expansions: Special Cases and Rheometry
  • Differential Constitutive Models
  • Differential Constitutive Models (Continued)
  • Integral Constitutive Models
  • Integral Constitutive Models (Continued)
  • Gels and Gel Rheology I
  • Gels and Gel Rheology II
  • Suspension Rheology I
  • Suspension Rheology II
  • In Class Project Presentations
  • Last Day: In Class Project Presentations

Readings

  • The text for the course is Bird, R. B., R. C. Armstrong, and O. Hassager. Dynamics of Polymeric Liquids, Volume 1. Fluid Mechanics . 2nd ed. Wiley-Interscience, 1987. ISBN: 9780471802457. Do NOT buy the first edition—it is substantially different.
    Listed reading
  • Rubinstein, M., and R. Colby. Polymer Physics. Oxford University Press, 2003. ISBN: 9780198520597. This book is more molecularly-focused on chain dynamics, scaling etc. and less on flow problems.
    Listed reading
  • Macosko, C. W. Rheology: Principles, Measurements, and Applications . Wiley-VCH, 1994. ISBN: 9780471185758.
    Listed reading
  • Bird, R. B., R. C. Armstrong, and O. Hassager. Dynamics of Polymeric Liquids, Volume. 2. Kinetic Theory . 2nd ed. Wiley, John & Sons, Incorporated, 1987.
    Listed reading
  • Larson, R. G. Constitutive Equations for Polymer Melts and Solutions: Butterworths Series in Chemical Engineering . Butterworth-Heinemann, 2013. ISBN: 9781483130446.
    Listed reading
  • ———. The Structure and Rheology of Complex Fluids, Topics in Chemical Engineering . Oxford University Press, 1999.
    Listed reading
  • Morrison, F. Understanding Rheology . Oxford University Press, 2001. ISBN: 9780195141665.
    Listed reading
  • Doi, M., and S. F. Edwards. The Theory of Polymer Dynamics . Oxford University Press, 1986. ISBN: 9780198519768.
    Listed reading
  • Graessley, W. W. Polymeric Liquids & Networks: Dynamics and Rheology . Garland Science, 2008. ISBN: 9780815341710.
    Listed reading
  • Tanner, R. I. Engineering Rheology (Oxford Engineering Science Series) . 2nd ed. Oxford University Press, 2000. ISBN: 9780198564737.
    Listed reading
  • Walters, K. Rheometry . Chapman and Hall, 1975. ISBN: 9780412120909.
    Listed reading
  • Probstein, R. F. Physicochemical Hydrodynamics: An Introduction . 2nd ed. Wiley-Interscience, 1994. ISBN: 9780471010111.
    Listed reading
  • Ferry, J. D. Viscoelastic Properties of Polymers . 3rd ed. Wiley, 1980. ISBN: 9780471048947. [Preview with Google Books ] ↗
    Listed reading

Prerequisites & course information

Same subject as 10.531[J] Prereq: 2.25 , 10.301 , or permission of instructor G (Spring) 3-0-6 units

Sources