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For example, if the feed is a saturated liquid, q = 1 and the slope of the q-line is infinite (drawn as a vertical line). As another example, if the feed is saturated vapor, q = 0 and the slope of the q-line is 0 (a horizontal line). [2] The typical McCabe–Thiele diagram in Figure 1 uses a q-line representing a partially vaporized feed.
Fractionation at total reflux. The Fenske equation in continuous fractional distillation is an equation used for calculating the minimum number of theoretical plates required for the separation of a binary feed stream by a fractionation column that is being operated at total reflux (i.e., which means that no overhead product distillate is being withdrawn from the column).
These types of VLE diagrams are used in the McCabe–Thiele method to determine the number of equilibrium stages (or theoretical plates) needed to distill a given composition binary feed mixture into one distillate fraction and one bottoms fraction. Corrections can also be made to take into account the incomplete efficiency of each tray in a ...
The problem of generating a function whose graph passes through a given set of function values is called interpolation. This interpolation formula is named after the Danish mathematician Thorvald N. Thiele. It is expressed as a continued fraction, where ρ represents the reciprocal difference:
The artificial landscapes presented herein for single-objective optimization problems are taken from Bäck, [1] Haupt et al. [2] and from Rody Oldenhuis software. [3] Given the number of problems (55 in total), just a few are presented here. The test functions used to evaluate the algorithms for MOP were taken from Deb, [4] Binh et al. [5] and ...
This is a diagram exemplifying how the en:McCabe-Thiele method is used to determine the number of theoretical equilibrium stages required in a distillation unit. Licensing I, the copyright holder of this work, hereby publish it under the following license:
Warren Lee McCabe (August 7, 1899 – August 24, 1982) was an American Physical Chemist and is considered as one of the founding fathers of the profession of chemical engineering. [1] He is widely known for the eponymous McCabe–Thiele method for analysis of distillation processes and his book, Unit Operations of Chemical Engineering , a major ...
Ernest Thiele, born on December 8, 1895, grew up in Chicago, Illinois. In 1916, he earned an A.B. degree from Loyola University in Chicago. He was stationed at the University of Illinois at Urbana–Champaign with the U.S. Army, where he completed a bachelor's degree in chemical engineering in 1919.