Mathematical modeling of radially propagating polymerization waves with the gel effect

被引:1
|
作者
Devadoss, DE [1 ]
Volpert, VA [1 ]
机构
[1] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
关键词
polymerization; mathematical modeling; isothermal frontal polymerization; gel effect; thermal frontal polymerization;
D O I
10.1016/j.amc.2005.03.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Frontal polymerization (FP) is a method of manufacturing polymer via a self-propagating reaction wave. There are two types of FP processes: thermal and isothermal. In all previous works the two types of FP were studied separately. In this work we model a process in which both thermal and isothermal FP can occur, and demonstrate the transition from isothermal to thermal FP. Our model describes the radial propagation of an isothermal front from the lateral surface of a test tube toward the axis, which may give rise to the thermal mode of propagation due to the temperature build-up. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:1036 / 1053
页数:18
相关论文
共 50 条
  • [1] Mathematical modeling of interfacial gel polymerization
    Spade, CA
    Volpert, VA
    MATHEMATICAL AND COMPUTER MODELLING, 1999, 30 (1-2) : 67 - 73
  • [2] RADIALLY PROPAGATING SURFACE AND PLATE WAVES
    PARDEE, WJ
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1982, 71 (01): : 1 - 4
  • [3] Mathematical modeling of interfacial gel polymerization for weak and strong gel effects
    Spade, CA
    Volpert, VA
    MACROMOLECULAR THEORY AND SIMULATIONS, 2000, 9 (01) : 26 - 46
  • [4] Proton and electron heating by radially propagating fast magnetosonic waves
    Horne, RB
    Wheeler, GV
    Alleyne, HSK
    JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, 2000, 105 (A12) : 27597 - 27610
  • [5] Mathematical model of spiral waves propagating in the aorta
    Batishchev, V. A.
    Ustinov, Yu A.
    FLUID DYNAMICS, 2013, 48 (01) : 89 - 96
  • [6] Propagating speed waves in flocks: A mathematical model
    Cavagna, Andrea
    Conti, Daniele
    Giardina, Irene
    Grigera, Tomas S.
    PHYSICAL REVIEW E, 2018, 98 (05)
  • [7] Mathematical model of spiral waves propagating in the aorta
    V. A. Batishchev
    Yu. A. Ustinov
    Fluid Dynamics, 2013, 48 : 89 - 96
  • [8] Propagating Precipitation Waves: Experiments and Modeling
    Tinsley, Mark R.
    Collison, Darrell
    Showalter, Kenneth
    JOURNAL OF PHYSICAL CHEMISTRY A, 2013, 117 (48): : 12719 - 12725
  • [9] Mathematical Theory of Normal Waves in Radially Inhomogenous Dielectric Rod
    Yury Smirnov
    Eugene Smolkin
    Lobachevskii Journal of Mathematics, 2019, 40 : 1711 - 1724
  • [10] Mathematical Theory of Normal Waves in Radially Inhomogenous Dielectric Rod
    Smirnov, Yury
    Smolkin, Eugene
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (10) : 1711 - 1724