TY - JOUR
T1 - Modification of the eikonal relation for chemical waves to include fluid flow
AU - Wilder, J. W.
AU - Vasquez, D. A.
AU - Edwards, B. F.
PY - 1993
Y1 - 1993
N2 - Propagating wave fronts resulting from autocatalytic chemical reactions have been the focus of much recent research. For the most part, the hydrodynamics resulting from such reactions has been neglected. In this work, a relation is derived for the normal speed of a propagating wave front as a function of the local curvature when fluid motion is allowed. This "eikonal" equation is a generalization of one which was derived in the absence of fluid flow. It is also shown that small variations in the fluid density due to the chemical reaction do not change the form of the relation.
AB - Propagating wave fronts resulting from autocatalytic chemical reactions have been the focus of much recent research. For the most part, the hydrodynamics resulting from such reactions has been neglected. In this work, a relation is derived for the normal speed of a propagating wave front as a function of the local curvature when fluid motion is allowed. This "eikonal" equation is a generalization of one which was derived in the absence of fluid flow. It is also shown that small variations in the fluid density due to the chemical reaction do not change the form of the relation.
UR - http://www.scopus.com/inward/record.url?scp=4243275778&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.47.3761
DO - 10.1103/PhysRevE.47.3761
M3 - Article
AN - SCOPUS:4243275778
SN - 1063-651X
VL - 47
SP - 3761
EP - 3764
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 5
ER -