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Thermal ignition in a reactive variable viscosity Poiseuille flow

W Gbolagade
OD Makinde


In this paper, we investigate the thermal ignition in a strongly exothermic reaction of a variable viscosity combustible material flowing through a channel with isothermal walls under Arrhenius kinetics, neglecting the consumption of the material. Analytical solutions are constructed for the governing nonlinear boundary-value problem using perturbation technique together with a special type of Hermite-Padé approximants and important properties of the temperature field including bifurcations and thermal criticality are discussed

Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 573-578

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eISSN: 1116-4336