HOPPING MOTION IN ORDERED STATES OF CELLULAR FLAMES

被引:29
作者
GORMAN, M [1 ]
ELHAMDI, M [1 ]
ROBBINS, KA [1 ]
机构
[1] UNIV TEXAS,DIV MATH COMP SCI & STAT,SAN ANTONIO,TX 78249
关键词
D O I
10.1080/00102209408935398
中图分类号
O414.1 [热力学];
学科分类号
摘要
Our previous experiments have shown that cellular flames form ordered states consisting of concentric rings of cells. The numbers of cells in the inner and outer rings change independently in integer steps as the flow rate is increased. In this paper we report the observation of states characterized by a hopping motion in which cells abruptly change their angular position in the ring. This hopping proceeds sequentially to the other cells in the ring. The hopping states are typically observed in isobutane-air cellular flames at parameter values between those corresponding to two consecutive ordered states. The physical characteristics of these states are similar to those of modulated traveling waves found by Bayliss, Matkowsky and Riecke in numerical simulations of the full equations that describe the thermodiffusive instability. The similarities and differences between our experimental results and their theoretical predictions are discussed.
引用
收藏
页码:71 / 78
页数:8
相关论文
共 8 条
[1]  
BAYLISS A, 1993, IN PRESS NUMERICAL M
[2]   DETERMINISTIC CHAOS IN LAMINAR PREMIXED FLAMES - EXPERIMENTAL CLASSIFICATION OF CHAOTIC DYNAMICS [J].
ELHAMDI, M ;
GORMAN, M ;
ROBBINS, KA .
COMBUSTION SCIENCE AND TECHNOLOGY, 1993, 94 (1-6) :87-101
[3]  
ELHAMDI M, 1990, 2 U HOUST TECH REP
[4]   ROTATING CHEMICAL WAVES IN THE GRAY-SCOTT MODEL [J].
FARR, WW ;
GOLUBITSKY, M .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1992, 52 (01) :181-221
[5]   SPATIAL AND TEMPORAL CHARACTERISTICS OF MODULATED WAVES IN THE CIRCULAR COUETTE SYSTEM [J].
GORMAN, M ;
SWINNEY, HL .
JOURNAL OF FLUID MECHANICS, 1982, 117 (APR) :123-142
[6]  
GORMAN M, 1994, IN PRESS COMB SCI TE
[7]   SPIRAL WAVES IN THE BELOUSOV-ZHABOTINSKII REACTION [J].
KEENER, JP ;
TYSON, JJ .
PHYSICA D, 1986, 21 (2-3) :307-324
[8]   SPIRAL WAVES OF CHEMICAL ACTIVITY [J].
WINFREE, AT .
SCIENCE, 1972, 175 (4022) :634-&