Journal of the Textile Machinery Society of Japan
Online ISSN : 1881-1159
Print ISSN : 0040-5043
Designing of Reactors for Gaseous Acetylation of Rayon Staple Fiber
Part 3: Economic Balance
Hisao Kono
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JOURNAL FREE ACCESS

1965 Volume 11 Issue 3 Pages 88-93

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Abstract
We have calculated plant economy by using the results published previously and by deducing eight equations which determine eight variables necessary for designing an acetylator.
The eight variables are: Optimum thickness of the fiber layer w [kg/m2] Optimum velocity of the reactant gas flowing across the fiber layer v [m/min] Drop in gas pressure needed for circulationΔP [kg/m2] Concentration of acetic anhydride in the acetylator cr1 [kg/m3] Reaction time θr; [min] Volume of reactant gas supplied F [m3/kg*] Volume of reactant gas reclaimed D [m3/kg*] Effective area of reaction surface Ar; [m2]
Eight equations have been obtained as follows: From the results given in the previous articles or their deviations, θr; =α1; /cr1;, α1; =mMr; 1/m/KC eq. (3) v=β1; w, β1; =(0.415 ρg; ; /ΔM)1/1.36g; or ={561/(tf; -tg; )}1/1.22g; eq. (11) Using whichever β1; is larger in value of the two J=Ar; w'/θr; =Ar; w'cr1; /∂1; eq. (4) ΔP=β2; w1.42 v1.483; v2 eq. (13) From the material balance in the acetylator D=K1; -a(K1; -K2; )/cr; (a-b) eq. (5) F=K1; -b(K1; -K2; )/CF; (a-b) eq. (6) Equations of economy are derived from the above results: b=(α2; -√<α2; α3; >/α2; β3; )a eq. (8) 2.90 β1; 2.48 β2; w3.9+2β1; 3β3; w3=6120ηYr; γ/1.47 E(f1; +f2;) eq. (11) Symbols are so numerous the readers are requested to refer to the text. These equations determine the values of variables needed for designing an acetylator.
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