Journal
APPLIED MATHEMATICS LETTERS
Volume 146, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2023.108821
Keywords
Chemical front; Reaction-diffusion; Interface; Small time asymptotics; Mass transfer
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This study investigates the properties of bimolecular reaction-diffusion fronts when reactants A and B are dissolved in two immiscible solvents. The study reveals that in immiscible systems, the direction of bimolecular reaction-diffusion fronts can change up to four times, while in miscible systems, only two changes of direction are possible. Additionally, the study identifies the conditions under which two local maxima in the reaction rate can exist.
Dynamics of bimolecular A+B & RARR;C reaction-diffusion (RD) fronts have been well characterized in miscible systems. We study here their properties when reactants A and B are initially dissolved in two immiscible solvents put in contact. Neglecting any convective effects, we show that bimolecular RD fronts developing in such immiscible systems upon transfer from the reactants from one phase to the other can change directions up to four times, contrary to miscible systems where only two changes of direction are possible. Further, the conditions for which two local maxima in the reaction rate can exist are identified.& COPY; 2023 Published by Elsevier Ltd.
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