Edwards Boyd F
Department of Physics, West Virginia University, Morgantown, West Virginia 26506-6315, USA.
Chaos. 2006 Dec;16(4):043106. doi: 10.1063/1.2358954.
Poiseuille flow between parallel plates advects chemical reaction fronts, distorting them and altering their propagation velocities. Analytical solutions of the cubic reaction-diffusion-advection equation resolve the chemical concentration for narrow gaps, wide gaps, and small-amplitude flow. Numerical solutions supply a general description for fluid flow in the direction of propagation of the chemical reaction front, and for flow in the opposite direction. Empirical relations for the velocity agree with numerical solutions to within a few percent, and agree exactly with the analytical limits. Applications to nonlinear fingering are discussed.
平行板间的泊肃叶流动平流输送化学反应前沿，使其发生畸变并改变其传播速度。三次反应 - 扩散 - 平流方程的解析解可求解窄间隙、宽间隙和小振幅流动情况下的化学浓度。数值解给出了化学反应前沿传播方向上的流体流动以及相反方向流动的一般描述。速度的经验关系式与数值解的误差在百分之几以内，并且与解析极限精确相符。文中还讨论了其在非线性指进方面的应用。
