Flash Evaporation

General Description

This operation is used to simulate a single-stage flash process.

Unit Procedure Availability

      Flash Evaporation Procedure

Flash Evaporation: Modeling Calculations

A flash is a single-equilibrium-stage distillation in which a feed is partially vaporized (or condensed) to give a vapor richer (or a liquid poorer) than the feed in the more volatile components. A flash separation is based on the principle that when two or more phases are in thermodynamic equilibrium, the pressure, temperature and partial fugacity of a component is the same in each phase while its composition is different.

Material and Energy Balances
The single-stage flash process is described by the following mathematical problem. A feed stream of known conditions (F moles at pressure PF temperature TF and component molar fractions zi) is allowed to flash into a vapor stream, V, and a liquid stream, L, with or without the addition (or removal) of energy Q.
SingleStageFlash.jpg

Given that thermodynamic equilibrium imposes equal vapor and liquid phase temperature T and pressure P, the following equations apply for the single-stage flash of the figure above.

Name

Formula

 

 

 

 

Total Mass Balance

TotalMassBalance.jpg 

eq. (A.257)

Component Mass Balance

FlashCompMB.jpg 

eq. (A.258)

Phase Equilibrium

PhaseEquillibrium.jpg 

eq. (A.259)

Summation Constraint

SummationConstraint.jpg 

eq. (A.260)

Energy Balance

EnthalpyBalance.jpg 

eq. (A.261)

where V, L are the molar flowrates of the vapor and liquid stream and yi, xi denote the molar fraction of component i in the vapor and liquid stream, respectively. The phase equilibrium ratios, Ki, can be evaluated by one of the following thermodynamic models:

      Raoult’s Law

      Hybrid Raoult’s law/Custom vapor fraction model

      Modified Raoult’s Law

      Equation of State (EOS)

      Gamma-Phi Model

For a detailed description of the available options for the calculation of the K-value of a mixture please see Phase Equilibrium Ratio (K-Value) in Phase Equilibrium Ratio (K-Value).

For more details on the fundamental theory and numerical solution of the flash problem, see The Single-Stage Flash in Appendix D .

Vessel Sizing

In Design Mode, the program calculates the volume of the flash drum by the following equation:

FlashdrumVolume.jpg 

eq. (A.262)

where L the molar flowrate of the liquid stream, τr is the residence time and β is the working-to-vessel volume ratio.

In Rating Mode, the user specifies the vessel volume, the number of units and (from the Volumes tab) either the residence time, τr, or the working-to-vessel volume ratio, β. When the τr is specified, the program calculates β by eq. (A.262) volume ratio by equations and validates that the calculated value is between the allowable range. Similarly, when β is specified the program calculates the residence time, τr.

If this unit operates in batch mode, the feed flowrate F is calculated by dividing the volume of material that needs to be processed per cycle by the process time.

Equipment Purchase Cost

Equipment purchase cost is based on the total vessel volume and material of construction.

References

1.   Seader J.D., Henley E.J. and Roper D.K., Separation Process Principles. Chemical and Biochemical Operations, John Wiley & Sons (2010).

Flash Evaporation: Interface

The interface of this operation has the following tabs:

      Oper. Cond’s, see Flash Evaporation: Oper. Conds Tab

      Volumes, see Continuous Vessel Operations (Design Mode): Volumes Tab and Continuous Vessel Operations (Rating Mode): Volumes Tab

      Toolbox Options, see Flash Evaporation: Toolbox Options Tab

      Numerics, see Flash Evaporation: Numerics Tab

      Labor, etc, see Operations Dialog: Labor etc. Tab

      Description, see Operations Dialog: Description Tab

      Batch Sheet, see Operations Dialog: Batch Sheet Tab

      Scheduling, see Operations Dialog: Scheduling Tab