### Abstract

Mathematical model of condensed substance ignition with regard to dependence of chemical reaction rate on stresses is suggested. When defining the problem one makes simplifying assumptions about closeness of values of thermal physical and elastic features of initial substance and of reaction product, as well as, about their independence of temperature. Motion equations and stress expressions are composed using Hooke generalized law. Heat conductivity equations are formulated with regard to coherence of temperature field with deformation force on chemical reaction rate is taken into account as additional energy of reactant activation. Results of calculations of ignition time and fields of temperature and stress distributions for different sets of initial parameters are given. Possibility of essential effect of thermal stresses on indices of ignition process is shown.

Original language | English |
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Pages (from-to) | 13-18 |

Number of pages | 6 |

Journal | Fizika Goreniya i Vzryva |

Volume | 28 |

Issue number | 1 |

Publication status | Published - Jan 1992 |

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### ASJC Scopus subject areas

- Process Chemistry and Technology
- Mechanical Engineering

### Cite this

**Ignition of condensed substance with the use of a hot plate with regard of thermal stresses.** / Knyazeva, A. G.

Research output: Contribution to journal › Article

*Fizika Goreniya i Vzryva*, vol. 28, no. 1, pp. 13-18.

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TY - JOUR

T1 - Ignition of condensed substance with the use of a hot plate with regard of thermal stresses

AU - Knyazeva, A. G.

PY - 1992/1

Y1 - 1992/1

N2 - Mathematical model of condensed substance ignition with regard to dependence of chemical reaction rate on stresses is suggested. When defining the problem one makes simplifying assumptions about closeness of values of thermal physical and elastic features of initial substance and of reaction product, as well as, about their independence of temperature. Motion equations and stress expressions are composed using Hooke generalized law. Heat conductivity equations are formulated with regard to coherence of temperature field with deformation force on chemical reaction rate is taken into account as additional energy of reactant activation. Results of calculations of ignition time and fields of temperature and stress distributions for different sets of initial parameters are given. Possibility of essential effect of thermal stresses on indices of ignition process is shown.

AB - Mathematical model of condensed substance ignition with regard to dependence of chemical reaction rate on stresses is suggested. When defining the problem one makes simplifying assumptions about closeness of values of thermal physical and elastic features of initial substance and of reaction product, as well as, about their independence of temperature. Motion equations and stress expressions are composed using Hooke generalized law. Heat conductivity equations are formulated with regard to coherence of temperature field with deformation force on chemical reaction rate is taken into account as additional energy of reactant activation. Results of calculations of ignition time and fields of temperature and stress distributions for different sets of initial parameters are given. Possibility of essential effect of thermal stresses on indices of ignition process is shown.

UR - http://www.scopus.com/inward/record.url?scp=0026691169&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026691169&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026691169

VL - 28

SP - 13

EP - 18

JO - Fizika Goreniya i Vzryva

JF - Fizika Goreniya i Vzryva

SN - 0430-6228

IS - 1

ER -