Search

Showing posts with label Distillation column design basis. Show all posts
Showing posts with label Distillation column design basis. Show all posts

Selection and Sizing of A Distillation Column

Selection of Distillation Column

The selection of a distillation column depends on several factors, including:

  • Feed composition: The composition of the feed stream, including the number of components, their concentrations, and their physical properties.
  • Separation requirements: The desired separation of the components, including the purity of the products and the recovery of the valuable components.
  • Operating conditions: The operating conditions, including the temperature, pressure, and reflux ratio.
  • Equipment constraints: The constraints of the equipment, including the column diameter, height, and tray spacing.

Sizing of Distillation Column

The sizing of a distillation column involves calculating the column diameter, height, and tray spacing. The following equations are used for sizing:

Column diameter: The column diameter is calculated using the following equation:

D = √(4 * Q * ρ / (π * ΔP * η))

where:

- D = column diameter (m)
- Q = vapor flow rate (m³/s)
- ρ = vapor density (kg/m³)
- ΔP = pressure drop (Pa)
- η = tray efficiency

Column height: The column height is calculated using the following equation:

H = N * TS

where:

- H = column height (m)
- N = number of trays
- TS = tray spacing (m)

Tray spacing: The tray spacing is calculated using the following equation:

TS = (D * ΔP) / (4 * ρ * g)

where:

- TS = tray spacing (m)
- D = column diameter (m)
- ΔP = pressure drop (Pa)
- ρ = vapor density (kg/m³)
- g = acceleration due to gravity (m/s²)

Mathematical Theory Behind Sizing

The mathematical theory behind sizing a distillation column is based on the following principles:

Mass transfer: The mass transfer between the vapor and liquid phases is described by the following equation:

N_A = k * A * (C_Ai - C_A)

where:

- N_A = mass transfer rate of component A (mol/s)
- k = mass transfer coefficient (m/s)
- A = interfacial area (m²)
- C_Ai = concentration of component A in the vapor phase (mol/m³)
- C_A = concentration of component A in the liquid phase (mol/m³)

Heat transfer: The heat transfer between the vapor and liquid phases is described by the following equation:

Q = U * A * (T_v - T_l)

where:

- Q = heat transfer rate (W)
- U = overall heat transfer coefficient (W/m²K)
- A = interfacial area (m²)
- T_v = temperature of the vapor phase (K)
- T_l = temperature of the liquid phase (K)

Optimization Rules for Selection

The optimization rules for selecting a distillation column are based on the following principles:

  • Minimize energy consumption: Minimize the energy consumption by optimizing the reflux ratio, column pressure, and heat exchanger design.
  • Maximize separation efficiency: Maximize the separation efficiency by optimizing the column design, tray spacing, and mass transfer coefficient.
  • Minimize capital cost: Minimize the capital cost by optimizing the column diameter, height, and material selection.

Feedback Stock Composition and Range of Mixture

The feedback stock composition and range of mixture are important factors in selecting and sizing a distillation column. The following considerations should be taken into account:

  • Feed composition: The feed composition should be analyzed to determine the number of components, their concentrations, and their physical properties.
  • Range of mixture: The range of mixture should be determined to ensure that the column can handle the expected variations in feed composition and operating conditions.
  • Product specifications: The product specifications should be defined to ensure that the column can produce the desired products with the required purity and recovery


To design a distillation column and its selection as well as sizing needs ideas of vapor and liquid phase thermodynamics because it helps to calculate the minimum number of equilibrium stages on which the needed separation takes place. In addition, a continuous column's minimum reflux ratio factor depends on the VLE data. As a part of the introduction, brief requirements and tools used for sizing this separation equipment were discussed.

For the learner, the Fenske-Underwood equation is enough to understand about minimum reflux ratio and the minimum number of stages. At last, safety and economic factors shape the drawing and mechanical parts of the column.

Distillation word refers to the separation operation in chemical and petroleum industries. Only the concept of boiling point variation draws attention to the idea of distillation. Fractional distillation or fractionation word is awarded for this purpose only. 50% of a plant’s energy consumption falls under the distillation account. Also, its promising separation makes it still alive in the latest chemical industries also.

New adaptable technologies of solvent extraction, adsorption, membrane, and reactive distillation turn the old methods into a hybrid system. Distillation process types like extractive distillation and reactive distillation are now in demand.

Batch distillation and continuous distillation operation mode depend on the factor of time only and works similarly in theory.

Column internals:


Any column is equipped with an internal setup that has the only purpose of providing mass and heat transfer. The internal structures directly affect the vapor and liquid phase mass and heat transfer simultaneously. Parts like trays, re-distributors, packings, distributors, and baffles are some of them. Each part ultimately should provide the purpose of enough contact between the phases. Column height and diameter are calculated finally by the inclusion of these internal parts. In immediate need of design, two internal parts are enough in design calculations that would be trays and packing. Either of these two parts is the main internal structures that determine the separation, efficiency, and capacity of the column.

During the selection of the tray, sieve, bubble cap and valve trays are common in use. Packing is of random and structured by packing materials like saddles and rings.

Comparison of Distillation Column Trays


EFFECT IN TOWERS AND COLUMNS

Towers or columns are the types of equipment that are used in the industrial operation for the separation and purification process. Almost every chemical industry contains these columns varying in different sizes, and even in analytical operations, instruments such as HPLC (high-performance liquid chromatography columns) are used for the separation of mixed components in the samples depending on the column design. Tray towers offer more pressure drop than packed towers. so, for simple separation tray towers which consist of trays or sieves are preferred to packed towers where a packing material is used instead of trays.

Overview of the Effects in a Column and Terminology :


All mechanical aspects that occur in a column are referred to as Effects in the Tower, these mechanical problems are caused by the physical properties and the mechanism by which the column is operated by the control valves and  inlet and outlet stream flow rates, even the structure and internal design also considered in this concept, we see some of the important and very well faced problem for every column, which is as shown with a comparison of ideal condition of sieve tray column:
diagram of ideal condition of the tray column operation

Ideal column operation
The blue color indicates a liquid flow pattern
The green color indicates the vapor flow pattern
The red color indicates forth

Flooding in a column

 It occurs in a packed column due to a high-pressure drop. At the same gas flow rate, the pressure drop in a packed tower being irrigated with liquid is greater than the dry packed tower. The operating velocity in a packed tower is usually equal to the flooding velocity. This effect can be well understood as simple as liquid filling up from the bottom of the column to the top and exhausting out from the top inlet of the column.
The point at which this effect occurs the velocities of which a column is operated is called flooding velocities. The downcomer and space between the trays are completely filled up by the liquid and the tower is said to be flooded, due to high-pressure drop due to increased flow rates of the streams.
diagram of flooding condition in a tray column
Flooding condition of the sieve column
Effects due to flooding:

1. Tray efficiency falls
2. The liquid may force out of the exit pipe at the tower top
Overall tray efficiency is defined as the ratio of a number of real trays required to the number of ideal trays required. Channeling is most severe in towers packed with stacked packing. Wetted wall tower experiments are used to determine the volumetric coefficient of two interacting phases.  
Priming in a distillation column is desirable from point efficiency considerations. Priming is an exaggerated condition of liquid entrainment. The packed column provides a substantially smaller liquid hold-up as compared to the plate column. Outlet weirs (provided on the plate in a plate column) maintain the desired liquid level on the plate. Inadequately large weir height may cause all of the foregoing; a common weir height for absorbers and strippers is 3 to 4 inches. The binary liquid-liquid system has two degrees of freedom.
diagram of priming condition in a plate and tray column
Priming condition of sieve column
 Due to high gas velocity, liquid from the bottom trays is carried away along with the vapor to the top trays.


Coning is a Tray Tower

occurs due to low liquid flow velocities when compared to gas which results in the pushing of the liquid away from the tray openings.
diagram of coning effect condition in a plate and tray column
Coning condition in Sieve Tray Column


Weeping in a Sieve Tray Column

is due to at low gas velocity which is not equal to liquid flow velocity, and the liquid is not enough resisted to hold on to the tray pass from the downcomers, the complete liquid will flow through the openings in the tray itself. so, weeping occurs when gas velocities (in a plate column) are too low. Most of the liquid is rained down from tray openings and some through the downcomer.
diagram of weeping effect condition in a plate and tray towers
The weeping condition of the Sieve Tray Column

In the event of severe weeping, no liquid reaches the downspouts. Complete liquid drops down by the tray opening only. This phenomenon is known as dumping.
dumping effect condition in plate and sieve tray columns diagram
Dumping condition in Sieve Tray Column
The gas hold-up is defined as the fraction of the liquid-gas mixture occupied by the gas.
Weber number is defined as the ratio of shear forces to inertial forces and the ratio of inertial forces to surface forces. Absorption factors is defined as mE/R.
The stripping factor is defined as R/ mE. The Maragoni effect is also known as interfacial turbulence.

Key Concepts in Chemical Engineering


Capillary Number

The capillary number is a dimensionless quantity that characterizes the ratio of viscous forces to surface tension forces in a fluid. It is defined as:

(K * ρL * L) / (σ * g * gC)

where:

- K: permeability
- ρL: liquid density
- σ: liquid surface tension
- g: gravitational acceleration
- gC: conversion factor

Tray Column Design

In tray column design, large depths on trays can lead to high-pressure drops but also high tray efficiencies. For tower diameters between 12 and 24 feet, a recommended plate spacing is 36 inches.

Liquid-Liquid Extraction

In a ternary liquid-liquid system, there are three degrees of freedom.

In a countercurrent liquid-liquid extractor, the slip velocity (Us) is given by:

Us = (Ud/φ + Uc/(1-φ))

where:

- Ud: dispersed phase superficial velocity
- Uc: continuous phase superficial velocity
- φ: fractional dispersed phase hold-up

In a packed countercurrent extractor, the slip velocity (Us') is related to Us by:

Us' / Us > 1

Binary Distillation

In a binary distillation column, if the feed contains 40 mol% vapors, the q-line will have a slope of -1.5.

Capillary Number Calculator







Slip Velocity Calculator




q-Line Slope Calculator