Thermal Criticality for a Reactive Gravity Driven Thin Film Flow of a Third Grade Fluid With Adiabatic Free Surface Down an Inclined Plane

Oluwole Daniel Makinde

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Oluwole Daniel Makinde. Thermal Criticality for a Reactive Gravity Driven Thin Film Flow of a Third Grade Fluid With Adiabatic Free Surface Down an Inclined Plane[J]. Applied Mathematics and Mechanics, 2009, 30(3): 353-359.

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Thermal Criticality for a Reactive Gravity Driven Thin Film Flow of a Third Grade Fluid With Adiabatic Free Surface Down an Inclined Plane

Oluwole Daniel Makinde

Faculty of Engineering, Cape Peninsula University of Technology, P. O. Box 1906, Bellville 7535, South Africa

Received Date: 2008-08-20
Rev Recd Date: 2008-12-02
Publish Date: 2009-03-15

Abstract

Abstract

The thermal criticality for a reactive gravity driven thin film flow of a third grade fluid with adiabatic free surface down an inclined isothermal plane is investigated. It was assumed that the reaction is exothermic under Arrhenius kinetics, neglecting the consumption of the material. The governing non-linear equations for conservation of momentum and energy were obtained and solved using a new computational approach based on a special type of Hermite-Pad approximation technique implemented on MAPLE. This seminumerical scheme offers some advantages over solutions obtained by using traditional methods such as finite differences, spectral method, shooting method, etc. It reveals the analytical structure of the solution function and the important properties of overall flow structure including velocity field, temperature field, thermal criticality and bifurcations were discussed.
- isothermal inclined plate,
- third grade fluid,
- Hermite-Pad approximants,
- thermal criticality

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References(14)

References

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