Abstract The classical relationship of the heat transfer parameters between one—dimensional and two—dimensional models:1U=1h w +R4K er is found only valid when Bi <1 808,which is in disagreement with the normal Bi values of being 1 1 to 10. In considering of this, a new relationship consisting of U=λ 1 22RK er , λ 1 2=12(1-1 33A-0 33) and Bi=λ 1 24 exp (-aλ 1 2L)T 0-T w T(L,m)-T w -λ 1 2 is introduced, with its validity extended to Bi 10 53, which implies that this relation can practically be used without any limitation in the whole fixed—bed reactor operation domain. Simultaneously, the analytical method makes the estimation of K er irrelevant with the relationship between the two parameters,therefore the two parameters can be separately estimated. A numerical analysis has been made upon the famous heat transfer experiment by Coberly and Marshall(1951), and some suggestion is given on the basis of the inherent problem exposure. |
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