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Mixing and Homogenization

 


Syllabus:
Theory of mixing, solid-solid, solid-liquid and liquid-liquid mixing equipments, homogenizers.
 

 



Definition

Mixing may be defined as a unit operation in which two or more components, in an unmixed or partially mixed state, are treated so that each unit (particle, molecule etc.) of the components lies as nearly as possible in contact with a unit of each of the other components.
If this is achieved it produces a theoretical ‘ideal’ situation, i.e. a perfect mix.

Objectives of mixing:

1. To make simple physical mixture

In the production of tablets, capsules, sachets and dry powders two or more powders or granules are mixed.
In linctuses two or more miscible liquids are mixed completely.

2. Physical change

Mixing may aim at producing a change that is physical, for example the solution of a soluble substance. In case of dissolving a solid in a solvent mixing will take place by diffusion but the process will be slow. In this case agitation makes the process rapid.

3. Dispersion

In case of emulsions and creams two immiscible liquids are mixed where one liquid is dispersed into other. In suspension and pastes solid particles are dispersed in a liquid by mixing.

4. Promotion of reaction

Mixing will usually encourage (and control at the same time) a chemical reaction, so ensuring uniform products.

Types of Mixtures


Mixtures may be divided into three types that differ fundamentally in their behavior:

 

Positive mixtures

Positive mixtures are formed from materials such as gases or miscible liquids, which mix spontaneously and irreversibly by diffusion and tends to approach a perfect mix.
There is no input of energy required. If enough time is available the mixing is complete. In general, such materials do not present any problems in mixing.
e.g. Mixing of sodium chloride and sugar in water.

Negative mixtures

In negative mixtures, after mixing, the components will tend to separate out. If this occurs quickly, then energy must be continuously input to keep the components in dispersed state.
Negative mixtures are more difficult to form and a higher degree of mixing efficiency is required.
e.g. Calamine lotion.

 

Neutral mixtures

Neutral mixtures are static in their behavior, the components having no tendency to mix spontaneously, nor do they segregate when mixed.
e.g. Pastes, ointments and mixed powders.

SOLID-SOLID MIXING

Mechanism of solid-solid mixing

It has been generally accepted that solids mixing proceeds by a combination of one or more of the following mechanisms:

1. Convective mixing:

A relatively large mass of material is moved from one part of the powder bed to another - this is called convection. Depending on the type of mixer employed, convective mixing can occur by an inversion of the powder bed, by means of blades or  paddles, or by means of a revolving screw etc.

2. Shear mixing

As a result of forces within the particulate mass, slip planes are set up. Depending on the flow characteristics these can occur singly or in such a way that it give rise to laminar flow. When shear occurs between regions of different composition and parallel to their interface, it reduces the scale of segregation by thinning the dissimilar layers. Shear occur in a direction normal to the interface of such layers is also effective since it too reduces the scale of segregation.

3. Diffusive mixing

Mixing by “diffusion” is said to occur when random motion of particles within a particle bed causes them to change position relative to one another. Such as exchange of positions by single particles result in reduction of the intensity of segregation. Diffusive mixing occurs at the interfaces of dissimilar regions that are undergoing shear and therefore results from shear mixing.

Mixing equipment

·        The ideal mixer should produce a complete blend rapidly with as gentle as possible a mixing action to avoid product damage.
·        It should be cleaned and discharged easily,
·        be dust-tight and
·        require low maintenance and
·        low power consumption
·        mixers should be earthed to dissipate the static charge on particles.

Tumbling mixers / blenders

Applications:
Used for mixing / blending of granules or free-flowing powders.

In tumbling mixers, rotation of the vessel imparts movement to the materials by tilting the powder until the angle of the surface exceeds the angle of repose when the surface layers of the particles go into a slide.
A common type of mixer consists of a container of one of several geometrical forms, which is mounted so that it can be rotated about an axis. The resulting tumbling motion is accentuated by means of baffles or simply by virtue of the shape of the container.

Rotating -Shell Mixers
The drum type, cubical-shaped, double-cone and twin shell blenders are all examples of this class of mixers.
Drum-type blenders with their axis of rotation horizontal to the centre of the drum are used quite commonly.
Disadvantages: This suffers from poor cross flow along the axis.
Remedy:-              The addition of baffles or inclining the drum on its axis increases cross flow and improves the mixing action.

Cubical and polyhedron shaped blenders with the rotating axis set at various angles also are available.
Disadvantages:- In the polyhedron type blender, because of their flat surface, the powder is subjected more to a sliding than a rolling action which is not conducive to the most efficient mixing.

Double cone blender provides a good cross flow with a rolling rather a sliding motion. Normally no baffles are required so that cleaning is simplified.

Twin shell blender combines the efficiency of the inclined drum-type with the intermixing that occurs when two such mixers combine their flow. The twin-shell blender takes the form of a cylinder that has been cut in half, at approximately a 450-angle with its long axis, and then rejoined to form a “V”-shape. This is rotated so that the material is alternatively collected in the bottom of the V and then split into two portions when the V is inverted.
MOA
This is quite effective because the bulk transport and shear, which occur in tumbling mixers generally, are accentuated by this design.
A bar containing blades that rotate in a direction opposite to that of the twin shell often is used to improve agitation of the powder bed, and may be replaced by a hollow tube for the injection of liquids.
The efficiency of tumbling mixers is highly depended on the speed of rotation.
·        If the rotation speed is too slow Þ       does not produce desired tumbling or cascading motion nor                                                                     does it generate rapid shear rates.
·        If the rotation speed is too high Þ       produce centrifugal force sufficient to hold the powder to the                                                                     sides of the mixer and thereby reduce efficiency.
·        If the rotation speed is optimumÞ       depends on the size, shape, r.p.m. Commonly in the range of                                                                     30 to 100 rpm.

Agitator mixers


Agitator mixer for powders can take a similar form to paddle mixers for liquids, but their efficiency is low. Planetary motion mixers are effective, but special design are to be preferred.
This type of mixers employs a stationary container to hold the material and brings about mixing by means of moving  screws, paddles or blades.
Use: Since the mixers do not depend entirely on gravity as do the tumblers, it is useful in mixing wet solids, sticky pastes etc.
The high shear force effectively break up lumps or aggregates.

Ribbon blender

The ribbon blender consists of a relatively long trough-like shell with a hemispherical bottom. The shell is fitted with a shaft on which are mounted spiral ribbons, paddles or helical screws, alone or in combination. These mixing blades produce a continuous cutting and shuffling of the powder by circulating the powder from end to end of the trough as well as rotationally. The shearing action that develops between the moving blade and the trough serves to break down powder agglomerates.
Disadvantages: They are not precision blenders and they are difficult to clean.
RIBBON BLENDER

Sigma blade and planetary mixers
Sigma blade and planetary mixers are also used at a step prior to addition of liquid (e.g just before wet massing in tablet wet-granulation). Fig. See semisolid mixers for sigma blenders and
Conical orbital screw mixer (Nautamixer)
Conical orbital screw mixer consists of a conical vessel fitted at the base with a rotating screw, which is fastened to the end of a rotating arm at the upper end.
Working:
The mixer screw rotates at its own axis and simultaneously moves in the orbit at the periphery of the conical container. It produces three mixing currents:
(i)     The mixer screw rotates to lift the material to the top of the cone.
(ii)   The rotating arm guides the whole screw in a circular path along with the periphery of the conical container so the material is conveyed in a horizontal manner.
(iii) The material drops off the screw to the opposite side of the cone, and is lifted up repeatedly.
The mixer thus combines convective mixing (as the material is raised by the helical conveyor) and shear and diffusive mixing (as the material cascades downwards).

Advantages: Nautamixer can be jacketed and may be done under vacuum. Nautamixer is used in mixing powder, wet granulation. It may be used to mix plant products containing mucilage.



LIQUID-LIQUID MIXING

Mechanisms of mixing

The mechanism of mixing of liquids can be studied under four classes. They are:
1.      Bulk transport
2.      Turbulent mixing
3.      Laminar mixing
4.      Molecular diffusion
Bulk transport is defined as the movement of a large portion of a liquid from one location to another location.
Turbulent mixing is defined as mixing due to turbulent flow, which results in random fluctuation of the fluid velocity at any given point within the system.
Laminar flow is the mixing of two dissimilar liquid through laminar flow, i.e. the applied shear stretches the interface between them.
Molecular diffusion is the mixing at molecular level in which molecules diffuse due to thermodynamic motion.

MIXERS:
Liquid mixing is usually performed with a
(i)     mixing element, commonly a rotational device, which provides the necessary shear force and flow,
(ii)   a tank either jacketed or not jacketed in which the mixing element will be fitted.
Mechanism of mixing:
The movement of the liquid at any point in the vessel will have three velocity components and the complete flow pattern will depend upon variations in these three components in different parts of the vessel.
The three velocity components are:
(i)     Radial component, acting in a direction vertical to the impeller shaft.
(ii)   Longitudinal component, acting in a direction parallel to the impeller shaft.
(iii) A tangential component, acting in a direction that is a tangent to the circle  of rotation round the impeller shaft.
A satisfactory flow pattern will depend on the balance of these three components.
Examples: Assuming that the impeller is placed vertically in a mixing tank.
·        Excessive radial movement, especially if solids are present, will take materials to the container wall, when they fall to the bottom and may rotate as a mass beneath the impeller.
·        If the tangential component is dominant, a vortex forms and may deepen until it reaches the impeller, when aeration occurs.
·        If the longitudinal component is inadequate, liquids and solids may rotate in layers without mixing, even when rotation is rapid and in the presence of vortexing.

Factors affecting the flow pattern of liquids:
(i)     Form of impeller and its position; e.g. whether it is high or low in the vessel, whether mounted centrally or to one side, or whether the shaft is vertical or inclined.
(ii)   Container shape.
(iii) Presence of baffles.
(iv)  Liquid properties - It has been found that the optimum speed of rotation (v) of the mixing element and the ratio of the diameter of the container (D), to the diameter of the mixing element (d) are both inversely proportional to the apparent viscosity (h) of the liquid.
i.e.          v             µ            1/h
               D/d         µ            1/h
·        Hence, a liquid of low viscosity will use an impeller with a D/d ratio of the order of 20 and rotating at high speed.
·        A liquid of high viscosity, such as paste, will need a D/d ratio of 1 and low speed of rotation. i.e., blades of the impellers are used so that they more slowly and scrape the side of the vessel.

MIXING EQUIPMENT FOR LIQUID

PROPELLER MIXERS
·        The propellers are small impellers that produce a longitudinal movement of liquids.
·        Generally they are small in relation to the container i.e. container diameter to propeller diameter ratio (D/d) » 20.
·        They generally operates at high speeds: upto 8000 rpm.
·        Propeller mixer is not normally effective with liquids of viscosity greater than about 5 Ns/m2 ; which is some what greater than glycerin or castor oil.



Vortexing and its remedies:

Due to the high speed of the propellers vortexing and finally aeration may occur; i.e. air may get entrapped which may be difficult to remove from the product and the air may encourage oxidation in some cases.
To avoid vortexing the following strategies can be worked out:
(i) The propeller should be deep into the liquid and [fig (a)]
(ii) Symmetry should be avoided:
(a) propeller shaft may be off-set from the center. [fig (b]
(b) propeller shaft may be mounted at an angle to the vertical wall of the container. [fig (c)]
(c) the shaft may enter side of the vessel [fig (d)]
(d) or, a vessel other than cylindrical may be used, (N.B. although this is liable to give rise to ‘dead spots’ in corners)
(iii) A push-pull type of propeller may be used in which two propellers of opposite pitch are mounted on the same shaft so that the rotating effects are in opposite directions and cancel each other. [fig (e)]
(iv) One or more baffles may be used which are usually vertical strips attached to the wall of the vessel. [fig (f)]
 Use:
(i) Propellers are suitable when strong vertical currents are required e.g. in suspensions of solids in liquids.
(ii) They are not suitable when considerable shear is required, as in emulsification.

TURBINE MIXERS
A turbine mixer uses a circular disc impeller, to which are attached a number of vertical blades, which may be straight or curved.
Characteristics:
(i)     They are usually rotated at a somewhat lower speed than the propeller type.
(ii)   D/d ratio is lower than that of propeller type.
(iii) The blades are usually flat, hence, very little axial or tangential flow, the liquid moves rapidly in a radial direction.
(iv)  They give rise to greater shear forces than propeller type and these shear forces can be increased further by fitting a diffusing ring. This is a stationary perforated or slotted ring which surrounds the impeller, so that the discharged liquid must pass through the apertures. The diffuser reduces rotational swirling and vortexing , but is most useful in increasing shear forces.
(v)   They can deal with more viscous liquids than the propeller mixer, having a range upto 100Ns/m2 approximately the consistency of liquid glucose.

Use:
(i)     Suitable for viscous liquids.
(ii)   Not suitable for suspensions, because no vertical flow is there.
(iii) The higher shear forces and the greater viscosity range give it a special application in the mixing of liquids that may stratify with a propeller and, particularly, in the preparation of emulsions of immiscible liquids.

Paddle mixers
Paddle mixers use an agitator consisting usually of flat blades attached to a vertical shaft and rotating at low speed (100 rpm).
Characteristics:
(i)     For liquids of low viscosity simple flat paddles are used and the emphasis is on radial and tangential movements.
(ii)   Paddles for more viscous liquids generally have a number of blades, often shaped to fit closely to the surface of the vessel, avoiding ‘dead spot’ and deposited solids.
(iii) An alternative design for the more viscous range of liquids is the planetary motion mixer, which has a smaller paddle that rotates on its own axis, but travels also, in circular path round the mixing vessel. The agitator is fixed at the side of the vessel, to eliminate ‘dead spots’.
(iv)  The width of the agitator is not more than 1/2 to 2/3rd  of the diameter of the vessel, which requires less power than that needed for a full width central agitator, improves the circulation in the vessel, and increases mixing efficiency.

SOLID-LIQUID MIXING

During tablet granulation binder solution is added to dry powder mass, and a damp mass is formed which is very difficult to mix with ordinary mixers. So planetary and sigma blenders are used.
Agitator mixers

(i) Planetary motion mixers:

Construction: It consists of a circular base. Inside the container a blade rotates around its own axis. The axis of the blade again rotates along a shaft. Thus the motion of the blade is similar to the motion of a planet around the sun. The planet is rotating along its own axis and at the same time the planet is rotating around the sun. The design of the blade is as shown in the figure. There is very little clearance between the blade and the wall of the container.

Working: This design allows the revolving blade to handle (mix) a small amount of mass at a time. Again the blade is moving, carrying the mass to other places. The blade is scraping the materials those are sticking to the wall of the container.
Application:
1.      This sturdy (strong) mixer is used to mix semisolid ointments.
2.      To prepare tablets the powder is mixed with binder solutions. During this wet massing step planetary mixer is used.

(ii) Sigma Blender:

Construction:
It uses two mixer blades, the shape of which resembles the Greek letter “sigma” (S).The two blades rotates towards each other and operate in a mixing vessel which has a double trough shape, each blade fitting into a trough.
The two blades rotate at different speeds, one usually about twice the speed of the other, resulting in a lateral pulling of the material and divisions into two troughs, while the blade shape and difference in speed causes end-to-end movement.
Use:
·        This types of mixers are of sturdy construction and high power, hence, they can handle even the heaviest plastic materials and products like tablet granule, and ointments are mixed readily.
·        To reduce the entrainment of air in ointment masses the sigma mixer can be enclosed and operated under reduced pressure, which is an excellent method for avoiding entrainment of air and may assist in minimizing decomposition of oxidizable materials, but it must be used with caution if mixer contains volatile ingredients.
·        As with many other mixers, the vessel is jacket for heating or cooling and, in this case, the blades can be hollow for the same purpose. This can be very useful in practice, since some semi-solids may be reduced in viscosity by heating, while with other materials it may be necessary to dissipate the heat resulting from the energy put into the mixing process.

SEMISOLID MIXING

For semisolid mixing planetary and sigma blenders are used to mix the ointment base ingredients, solids and liquids. Three roll mill is used in mixing solid particles with ointment base.

Three Roll Mill

Mulling mixers are efficient in deaggregation of solids. e.g. Roller mills consists of one or more rollers. Of these three roll type is preferred for semisolid preparations. The rollers rotate at different speed. The material is placed in the hopper which then passes through roller B and C. Materials coming into the rollers are crushed, depending on the gap between the rollers. The gap between C and D (lesser than the previous one) reduces the particles further and smoothes the mixture. A scrapper continuously removes the materials from the roller D. Roller C moves to-and-fro along its axis to give a kneading action.


HOMOGENIZERS


The principle of homogenizers is that large globules in a coarse emulsion are broken down into smaller globules by passage under pressure througha narrow orifice.

Working principle:
The coarse emulsion (basic product) enters the valve seat at high pressure (1000 to 5000 psi), flows through the region between the valve and the seat at high velocity with a rapid pressure drop, causing cavitation; subsequently the mixture hits the impact ring causing further disruption and then is discharged as a homogenized product. It is postulated that circulation and turbulence are responsible mainly for the homogenization that takes place.
Sometimes a single homogenization may produce an emulsion, which although its particle size is small, has a tendency to clump of form clusters. Emulsions of this type exhibit increased creaming tendencies. This is corrected by passing the emulsion through the first stage of homogenization at a high pressure (e.g. 3000 to 5000 psi) and then through the second stage at a greatly reduced pressure (e.g. 1000 psi). This breaks down any clusters formed in the first step (it is a two stage homogenizer).
Applications:
Homogenizers may be used in one of two ways:
(i)     The ingredients in the emulsion are mixed and then passed through the homogenizer to produce the final product.
(ii)   A coarse emulsion is prepared in some other way and then passed through a homogenizer for the purpose of decreasing the particle size and obtaining a greater degree of uniformity and stability.

COLLOID MILL

The principle of operation of the colloid mill is the passage of the mixed phases of an emulsion formula between a stator and a high speed rotor revolving at speeds of 2000 to 18,000 rpm.
The clearance between the rotor and the stator is adjustable, usually from 0.001 inch upward. The emulsion mixture, while passing between the rotor and the stator, is subjected to a tremendous shearing action, which effects a fine dispersion of uniform size.
The shearing forces applied in the colloid mill usually raises the temperature within the emulsion. Hence, a coolant is used to absorb the excess heat.
Advantage
(i)     Very high shearing force can be generated.
(ii)   Very fine particles can be prepared.
(iii) Particularly useful in preparing suspensions containing poorly wetted solids.
(iv)  Useful for the preparation of relatively viscous emulsions.