A modified model for isothermal homogeneous and heterogeneous reactions in the boundary-layer flow of a nanofluid

doi:10.1007/s10483-020-2589-6

Abstract

Abstract: The homogeneous and heterogeneous reactions in the boundary-layer of a flat surface are considered. The autocatalysts are assumed to be of regular sizes, while the solution is a dilute nanofluid. The heat release due to the chemical reactions is taken into account. The Buongiorno's model is used to describe the behaviors of this reaction system. This configuration makes the current model be different from all previous publications. Multiple solutions are given numerically to the rescaled nonlinear system, whose stability is verified. The results show that the strength coefficients of the homogeneous and heterogeneous reactions are key factors to cause the appearance of the multiple solutions in the distribution of the chemical reactions. Nanofluids enhance the diffusion of heat and help maintain the stability of chemical reactions.

Key words: nanofluid, homogeneous and heterogeneous reactions, Buongiorno's model, multiple solutions, stability analysis

2010 MSC Number:

76V05
80A20

Naili XU, Hang XU. A modified model for isothermal homogeneous and heterogeneous reactions in the boundary-layer flow of a nanofluid. Applied Mathematics and Mechanics (English Edition), 2020, 41(3): 479-490.

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