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  • 1
    Electronic Resource
    Electronic Resource
    The Convective Boundary-Layer Flow on a Reacting Surface in a Porous Medium (1998)
    Springer
    Transport in porous media 32 (1998), S. 285-298 
    Details
    ISSN: 1573-1634
    Keywords: surface reactions ; convective flow ; Darcy flow ; boundary-layer flow ; heat and mass transport
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract The convective boundary-layer flow on an impermeable vertical surface in a fluid-saturated porous medium is considered where the flow results from the heat released by an exothermic catalytic reaction on the surface converting a reactive component within the convective fluid to an inert product. The reaction is modelled by first-order kinetics with an Arrhenius temperature dependence. Numerical solutions of the governing equations are obtained for a range of parameter values. These show, for large activation energies, that localized rapid changes in wall temperature and localized high reaction rates occur a little way from the leading edge. Asymptotic expansions, valid at large distances from the leading edge, are derived, the form that these expansions take is qualitatively different depending on whether or not reactant consumption is included in the model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006576203847
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Convective Flows on Reactive Surfaces in Porous Media (1998)
    Springer
    Transport in porous media 33 (1998), S. 279-293 
    Details
    ISSN: 1573-1634
    Keywords: surface reactions ; critical points ; convective flow ; porous media ; Darcy flow
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract A model for the convective flow in a fluid‐saturated porous medium containing a reactive component is considered. This component undergoes an exothermic reaction (modelled by a first order mechanism) on an impermeable bounding surface, the resulting heat released driving the convective flow. Large Rayleigh number flow near a stagnation point is treated in detail by first considering the steady states. Multiple solution branches and critical points arising from a hysteresis bifurcation are identified. The form that these solution branches take depends on whether or not the effects of reactant consumption are included. An initial‐value problem is then discussed. This shows that both the lower (slow reaction) and upper (fast reaction) solution branches are stable (and the ultimate state of the system). When the parameter values are such that there is no steady state, the solution develops a finite‐time singularity, the nature of which is analysed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006541819777
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
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