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

doi:10.1007/s10483-020-2589-6

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (3): 479-490.doi: https://doi.org/10.1007/s10483-020-2589-6

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

Naili XU, Hang XU

State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration(CISSE), School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

收稿日期:2019-10-27 修回日期:2019-12-24 出版日期:2020-03-01 发布日期:2020-02-17
通讯作者: Hang XU E-mail:hangxu@sjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11872241 and 11432009)

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

Naili XU, Hang XU

State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration(CISSE), School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2019-10-27 Revised:2019-12-24 Online:2020-03-01 Published:2020-02-17
Contact: Hang XU E-mail:hangxu@sjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11872241 and 11432009)

摘要/Abstract

摘要： 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.

关键词: nanofluid, homogeneous and heterogeneous reactions, Buongiorno's model, multiple solutions, stability analysis

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

中图分类号:

76V05
80A20

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

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

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

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