# Flash Evaporation

Flash evaporation is the partial or total vaporization that occurs when a saturated liquid stream undergoes a reduction in pressure by passing through a throttling valve or other throttling device. This process is one of the simplest unit operations. If the throttling valve or device is located at the entry into a pressure vessel so that the flash evaporation occurs within the vessel, then the vessel is often referred to as a flash drum.

A typical flash drum

If the saturated liquid is a single-component liquid (for example, liquid propane or liquid ammonia), a part of the liquid immediately "flashes" into vapor (i.e., evaporates). Both the vapor and the residual liquid are cooled to the saturation temperature of the liquid at the reduced pressure. This is often referred to as "auto-refrigeration" and is the basis of most conventional vapor-compression refrigeration systems.

If the saturated liquid is a multi-component liquid (for example, a mixture of propane, isobutane and normal butane), a part of the liquid will also immediately flash into a vapor and the flashed vapor will be richer in the more volatile components than is the remaining liquid.

## Flash evaporation of a single-component liquid

The flash evaporation of a single-component liquid is an isenthalpic (i.e., constant enthalpy) process and is often referred to as an adiabatic flash, a flash distillation or a throttling expansion. The following equation, derived from a simple heat balance around the throttling valve or device, is used to predict how much of a single-component liquid is vaporized when it "flashes":

$X = 100 \dfrac{ H_u^L – H_d^L }{ H_d^V – H_d^L }$

where:

• $$X$$ = weight percent vaporized
• $$H_u^L$$ is theupstream liquid enthalpy at upstream temperature and pressure, J/kg
• $$H_d^V$$ is the flashed vapor enthalpy at downstream pressure and corresponding saturation temperature, J/kg
• $$H_d^L$$ is residual liquid enthalpy at downstream pressure and corresponding saturation temperature, J/kg

If the enthalpy data required for the above equation is unavailable, then the following equation may be used.

$X = 100 \dfrac{ c_p (T_u – T_d)}{ H_v}$

where:

• X = weight percent vaporized
• cp = liquid specific heat at upstream temperature and pressure, J/(kg · °C)
• Tu = upstream liquid temperature, °C
• Td = liquid saturation temperature corresponding to the downstream pressure, °C
• Hv = liquid heat of vaporization at downstream pressure and corresponding saturation temperature, J/kg

The words "upstream" and "downstream" refer to before and after the liquid passes through the throttling valve or device.

This type of flash evaporation is used in the desalination of brackish water or ocean water by Multi-Stage Flash Distillation. The water is heated and then routed into a reduced-pressure flash evaporation "stage" where some of the water flashes into steam. This steam is subsequently condensed into salt-free water. The residual salty liquid from that first stage is introduced into a second flash evaporation stage at a pressure lower than the first stage pressure. More water is flashed into steam which is also subsequently condensed into more salt-free water. This sequential use of multiple flash evaporation stages is continued until the design objectives of the system are met. A large part of the world's installed desalination capacity uses multi-stage flash distillation. Typically such plants have 24 or more sequential stages of flash evaporation.

## Equilibrium flash of a multi-component liquid

The equilibrium flash of a multi-component liquid is also an isenthalpic process and may be visualized as a simple distillation process using a single equilibrium stage. It is very different and more complex than the flash evaporation of single-component liquid. For a multi-component liquid, calculating the amounts of flashed vapor and residual liquid in equilibrium with each other at a given temperature and pressure requires a trial-and-error iterative solution. Such a calculation is commonly referred to as an equilibrium flash calculation. It involves solving the following Rachford-Rice equation:[1] [2] [3] [4]

?
?∑ni=1[zi(Ki1)]÷[1+α(Ki1)]=

0where:

• zi = mole fraction of component i in the feed liquid
• α = mole fraction of feed that is vaporized = V/F
• Ki = vapor-liquid equilibrium constant = yi/xi
• yi = mole fraction of component i in the flashed vapor
• xi = mole fraction of component i in the residual liquid

Equilibrium flash of a multi-component feed

Newton's method (also known as the Newton-Raphson method) is an efficient iterative algorithm for solving the Rachford-Rice equation. Alternatively, the bisection method or the Brent method may be used. Once the equation has been solved for α, the compositions xi and yi can be immediately calculated as:

xi=zi÷[1+α(Ki1)]
yi=Kixi

The equilibrium flash of multi-component liquids is very widely utilized in petroleum refineries, petrochemical and chemical plants and natural gas processing plants.xx

### References

1. ^ Editors:Don W. Green and Robert H. Perry(2007), Perry's Chemical Engineers' Handbook, 8th Edition, McGraw-Hill Professional, ISBN 0-07-142294-3
2. ^ Harry Kooijman and Ross Taylor (2000), The ChemSep Book, 2nd Edition, ISBN 3-8311-1068-9. Available online at The ChemSep Book (See pdf page 186 of 194 pdf pages)
3. ^ Module Elementary Vapor-Liquid Equilibrium (From the website of the Pennsylvania State University)
4. ^ Flash Calculations using the Soave-Redlich-Kwong equation of state (Click on the small image to view it legibly at full-size)

• BeychokMilto