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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column that is being operated at total reflux (i.e., which means that no overhead product distillate is being withdrawn from the column).
The design and operation of a fractionating column depends on the composition of the feed as well as the composition of the desired products. Given a simple, binary component feed, analytical methods such as the McCabe–Thiele method [5] [8] [9] or the Fenske equation [5] can be used. For a multi-component feed, simulation models are used both ...
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 ...
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:
The calculation process requires the availability of a great deal of vapor–liquid equilibrium data for the components present in the distillation feed, and the calculation procedure is very complex. [2] [3] In an industrial distillation column, the N t required to achieve a given separation also depends upon the amount of reflux used. Using ...
In mathematics, Thiele's interpolation formula is a formula that defines a rational function from a finite set of inputs and their function values (). The problem of generating a function whose graph passes through a given set of function values is called interpolation .
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 ...