Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (5): 577-588.doi: https://doi.org/10.1007/s10483-013-1692-7

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Validation of 1D model for methane/air/Pt combustion in stagnation flow

Ming-hou LIU, Dan XING, Yu-zhou LU, Hui-yuan ZHU   

  1. Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei 230027, P. R. China
  • Online:2013-05-03 Published:2013-05-03
  • Contact: Ming-hou LIU E-mail:mhliu@ustc.edu.cn

Abstract: A 2D model is built on the package of FLUENT to study the effects of radial aspect ratio (R/W), length-to-width ratio (L/W), strain rate (SR), and buoyancy (Ri=Gr/Re2) on the validation of the simplified 1D model. In the present 2D model, the methane/air homogeneous reaction mechanism of Peters and the methane/air/platinum heterogeneous reaction mechanism of Deutschmann are applied. By comparison between the 1D and 2D numerical results, it is found that the validation of 1D model is highly related with the catalytic stagnation reactor configuration. For length-to-width ratio L/W = 1 configuration, 1D laminar model is applicable when the radial aspect ratio R/W > 0.4. For R/W = 0.6, the reactor exhibited 1D characteristics when L/W < 1. Compared with the temperature and species profiles, the velocity distribution along the axis is more sensitive to the change of radial aspect ratio and length-to-width ratio. With increasing of the strain rate, the flame front goes closer to the catalytic wall surface and
the difference between the 1D and 2D results decreases. For a valid 1D simulation, it is recommended that the strain rate should be greater than 20 s−1. The effects of natural convection can be neglected when Ri< 5.

Key words: structured grid, unstructured grid, perturbation finite volume method, incompressible fluid NS equations, SIMPLEC algorithm, MSIMPLEC algorithm, SIMPLER algorithm, catalytic reaction, colocated grid, stagnation flow, validation of 1D model

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