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Dependence of the contact heat conductivity of granular systems on the external load

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Abstract

An examination has been made of the dependence of the contact heat conductivity of granular systems on the external load. The calculation formulas proposed for contact heat conduction are applicable over a wide range of materials.

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Abbreviations

sa :

area of actual contact of two particles in a granular material

σ c :

conductivity of the contact between two particles

hr :

height of a micro-roughness

λs :

thermal conductivity of the material of the particles

d=2r:

particle diameter

λc :

contact thermal conductivity of the granular material

p:

porosity of the system

Sa1, Sa2 :

area of contact of two particles in the freely poured state and under the action of a load

λf:

thermal conductivity of the granular system in the freely poured state

λ(Δ):

portion of the thermal conductivity of a granular material that depends on the external load

η :

relative area of contact

sn :

nominal area of contact of the two particles

Δ:

external specific load

E:

modulus of elasticity of the particle material

E0 :

effective modulus of elasticity of the granular material

k1, k2, k3, km, kb :

empirical coefficients

References

  1. Yu. P. Shlykov and E. A. Tanin, Contact Heat Transfer Between Components [in Russian], Gosenergoizdat, 1963.

  2. G. N. Dul'nev and Z. V. Sigalova, IFZh, no. 10, 1964.

  3. I. V. Kragel'skii and N. B. Demkin, collection: Friction and Wear in Machines [in Russian], Izd. AN SSSR,11, 1961.

  4. N. B. Demkin, Izv. VUZ. Mashinostroenie, no. 6, 1959.

  5. I. V. Kragel'skii, N. B. Demkin, and G. S. Sidorenko, Vestnik mashinostroenie, no. 10, 1963.

  6. N. I. Bezukhov, Theory of Elasticity and Plasticity [in Russian], GITTL, 1953.

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Dul'nev, G.N., Zarichnyak, Y.P., Muratova, B.L. et al. Dependence of the contact heat conductivity of granular systems on the external load. Journal of Engineering Physics 11, 110–112 (1966). https://doi.org/10.1007/BF00831264

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  • DOI: https://doi.org/10.1007/BF00831264

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