### Abstract

A mathematical model for the growth of a spherical nucleus of a solid-state reaction product is proposed. The model takes into account the mutual influence of diffusion and deformation processes. Critical conditions of nucleus growth and reaction regimes in the nucleus are studied. The model parameters are estimated for various substances. An analogy between this problem and the problem of spot thermal ignition is established.

Original language | English |
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Pages (from-to) | 168-182 |

Number of pages | 15 |

Journal | Combustion, Explosion and Shock Waves |

Volume | 33 |

Issue number | 2 |

Publication status | Published - Mar 1997 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Engineering(all)
- Fluid Flow and Transfer Processes
- Physical and Theoretical Chemistry
- Energy Engineering and Power Technology
- Fuel Technology
- Engineering (miscellaneous)
- Materials Science(all)

### Cite this

*Combustion, Explosion and Shock Waves*,

*33*(2), 168-182.

**A diffusion-deformation model for the growth of a spherical nucleus of a solid-state reaction product.** / Knyazeva, A. G.; Donskaya, Ya G.

Research output: Contribution to journal › Article

*Combustion, Explosion and Shock Waves*, vol. 33, no. 2, pp. 168-182.

}

TY - JOUR

T1 - A diffusion-deformation model for the growth of a spherical nucleus of a solid-state reaction product

AU - Knyazeva, A. G.

AU - Donskaya, Ya G.

PY - 1997/3

Y1 - 1997/3

N2 - A mathematical model for the growth of a spherical nucleus of a solid-state reaction product is proposed. The model takes into account the mutual influence of diffusion and deformation processes. Critical conditions of nucleus growth and reaction regimes in the nucleus are studied. The model parameters are estimated for various substances. An analogy between this problem and the problem of spot thermal ignition is established.

AB - A mathematical model for the growth of a spherical nucleus of a solid-state reaction product is proposed. The model takes into account the mutual influence of diffusion and deformation processes. Critical conditions of nucleus growth and reaction regimes in the nucleus are studied. The model parameters are estimated for various substances. An analogy between this problem and the problem of spot thermal ignition is established.

UR - http://www.scopus.com/inward/record.url?scp=0031311943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031311943&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031311943

VL - 33

SP - 168

EP - 182

JO - Combustion, Explosion and Shock Waves

JF - Combustion, Explosion and Shock Waves

SN - 0010-5082

IS - 2

ER -