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Boltzmann's knock: auto-ignition delay times from Arrhenius theory
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Jon Heffer
Veröffentlicht/Copyright:
18. Oktober 2010
Abstract
An exact series solution is given for the first-order equation describing delay times in chemical kinetics, especially auto-ignition of fuels, employing the Arrhenius rate factor. Provision is made for both a constant pressure and a constant volume process by means of an index that describes the temperature dependence of the reaction rate. To allow for the common circumstance that the activation temperature is well above the temperature that would be recognised as the onset of combustion, an onset of combustion is defined analogous to the boundary layer theory of Blasius. Exact offset times are tabulated in non-dimensional form. The limitations of a Taylor-series expansion are discussed.
Received: 2009-07-23
Accepted: 2009-11-23
Published Online: 2010-10-18
Published in Print: 2010-October
© de Gruyter 2010
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Artikel in diesem Heft
- Guest Editorial – Joint European Thermodynamics Conference 10
- Boltzmann's knock: auto-ignition delay times from Arrhenius theory
- Thermodynamical estimation of the limit potentialities of irreversible binary distillation
- Surface tension and excess molar volumes of trimethyl benzene with tetrahydrofuran, tetra chloromethane and dimethyl sulfoxide
- A new perspective on the form of the first and second laws in rational thermodynamics: Korteweg fluids as an example
- Propagation of temperature waves along core-shell nanowires
- Non-equilibrium Stefan–Boltzmann law
- Gibbs–Bogoliubov variational procedure with the square-well reference system
- Physical foundations of evolutionary theory
- Behavior of entropy in non-classical heat conduction of incompressible media
- The balance of spin from the point of view of mesoscopic continuum physics for liquid crystals
- Simultaneous extrema in the entropy production for steady-state fluid flow in parallel pipes
Schlagwörter für diesen Artikel
Auto-ignition;
chemical kinetics;
combustion theory;
activation temperature
Artikel in diesem Heft
- Guest Editorial – Joint European Thermodynamics Conference 10
- Boltzmann's knock: auto-ignition delay times from Arrhenius theory
- Thermodynamical estimation of the limit potentialities of irreversible binary distillation
- Surface tension and excess molar volumes of trimethyl benzene with tetrahydrofuran, tetra chloromethane and dimethyl sulfoxide
- A new perspective on the form of the first and second laws in rational thermodynamics: Korteweg fluids as an example
- Propagation of temperature waves along core-shell nanowires
- Non-equilibrium Stefan–Boltzmann law
- Gibbs–Bogoliubov variational procedure with the square-well reference system
- Physical foundations of evolutionary theory
- Behavior of entropy in non-classical heat conduction of incompressible media
- The balance of spin from the point of view of mesoscopic continuum physics for liquid crystals
- Simultaneous extrema in the entropy production for steady-state fluid flow in parallel pipes
