Analysis and algorithms for multistage separation processes [Erratum

Equation 25 contains an incorrect inequality associated with dLj/aTk. The correct equation is. Page 799. The condenser in Table IV is a partial con- d...
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1572 Ind. Eng. Chem. Res., Vol. 28, No. 10, 1989

ceptable approximation, since it is a short line. I had originally considered this point in my earlier analysis (Govind, 1982) and later realized that assuming the intersection line to be a straight line resulted in a very minor error. Hence, in my fiial analysis, I made the assumption of a straight intersection line. This fact was pointed out earlier in my response to Bitter’s comments (Bitter, 1983).

Lines”. Ind. Eng. Chem. Process Des. Dev. 1983, 22, 684-686. Govind, R. Analytical Form of the Ponchon-Savarit Method for Systems with Straight Enthalpy-Composition Phase Lines. Ind. Eng. Chem. Process Des. Dev. 1982,21, 532-535. Lemlich, R. Private communication, 1982. Peters, W. A. The Efficiencyand Capacity of Fractionating Columns. Ind. Eng. Chem. 1922,14,476-479.

Rakeeh Govind

Literature Cited

Chemical Engineering Department University of Cincinnati Cincinnati, Ohio 45221

Bitter, R. Comments on “Analytical Form of the Ponchon-Savarit Method for Systems with Straight EnthalpyComposition Phase

ADDITIONS AND CORRECTIONS Analysis and Algorithms for Multistage Separation Processes [Volume 28, Number 6, page 7931. Lakshmi N. Sridhar and Angelo Lucia* Page 795. Equation 14 (Chart I) contains two incorrectly subscripted block matrices. The correct equation for the ?Jacobian matrix, G’, is

Page 796. In the left-hand column in the paragraph beginning with “To apply this theorem...”, the phrase “let Dobe the set intersection of the two-phase regions for each stage” should read “let Do be the Cartesian product of the set intersections of the two-phase regions of adjacent stages”. Page 796. Equation 25 contains an incorrect inequality associated with dLj/aTk. The correct equation is

Page 799. The condenser in Table IV is a partial condenser, and the starting values and solution on stage 1 are stage

T,K

1

328.0

starting values and solution h-’ v*, kmol h-*

y o , kmol

20.0

20.0

20.0

24.80

15.62

18.16

Page 800. The word condenser is spelled incorrectly in Table V. Page 800. In the leftihand column, second sentence after eq 53, the spectral radius of the nonnegative matrix A should be p(A) = 0.5199, which still easily satisfies the bounds given by eq 22. Page 800. The (1,l) element of J given by eq 54 should be 69.57, not 69.75. Page 801. In eq A13, the k + 2 element of the vector R should be -Pk+l(l - P k + ? ) . Page 802. The second inequality following eq A18 is aLj/aTk =

O j < k

Page 802. In the second bracketed term in eq B3, the quantity (dLk+l/VTk) should be (dLk+,/dTk).