A numerical study of steady state exothermic reaction in a slab with convective boundary conditions

作者: Oluwole D Makinde , Amk Legodi

DOI:

关键词:

摘要: In this paper, we considered a steady state, exothermic nth order oxidation chemical reaction in slab with reactant consumption the presence of convective heat and oxygen exchange surrounding ambient at surface. The coupled nonlinear differential equations governing system are obtained solved numerically using standard Newton‐Raphson shooting method along fourth-order Runge‐Kutta integration algorithm. A perturbation together special type Hermite-Pade series summation improvement technique is also employed to tackle problem. Important properties temperature field including effects embedded parameters on thermal stability discussed.

参考文章(14)
David A. Frank-Kamenetskii, Diffusion and heat transfer in chemical kinetics ,(1969)
Jerrold Bebernes, David Eberly, Mathematical Problems from Combustion Theory ,(1989)
E. Balakrishnan, A. Swift, G.C. Wake, Critical values for some non-class A geometries in thermal ignition theory Mathematical and Computer Modelling. ,vol. 24, pp. 1- 10 ,(1996) , 10.1016/0895-7177(96)00133-1
C. Lohrer, M. Schmidt, U. Krause, A study on the influence of liquid water and water vapour on the self-ignition of lignite coal-experiments and numerical simulations Journal of Loss Prevention in The Process Industries. ,vol. 18, pp. 167- 177 ,(2005) , 10.1016/J.JLP.2005.03.006
O.D. Makinde, Exothermic explosions in a slab: A case study of series summation technique International Communications in Heat and Mass Transfer. ,vol. 31, pp. 1227- 1231 ,(2004) , 10.1016/J.ICHEATMASSTRANSFER.2004.08.020
Shigeyuki Tanaka, Ferran Ayala, James C. Keck, A reduced chemical kinetic model for HCCI combustion of primary reference fuels in a rapid compression machine Combustion and Flame. ,vol. 133, pp. 467- 481 ,(2003) , 10.1016/S0010-2180(03)00057-9
N. N. Semenov, Henry Wise, Michel Boudart, Some problems in chemical kinetics and reactivity ,(1958)