MIXING
Definition:
Mixing is defined as a process that tends to result in a randomization of
dissimilar particles within a system.
The term mix         means to put together in one mass or assemblage
with more or less thorough diffusion of the constituent elements among
one another.
The term blending          means to mix smoothly and inseparably
together.
                           OBJECTIVES
1. To produce single physical mixture:
• This may be simply the production of a blend of two or more miscible
  liquids or two or more uniformly divided solids.
2. To produce physical change:
• Mixing can be performed to produce physical as well as chemical change,
  for example, solution of a soluble substance.
• In such cases a lower efficiency of mixing is often acceptable because
  mixing merely accelerates a dissolution and diffusion process that could
  occur by simply agitation.
3. To produce dispersion:
• Mixing is also aimed to include dispersion of two immiscible liquids
  to form an emulsion OR dispersion of a solid in liquid to give a
  suspension or paste.
• Usually good mixing is required to ensure stability and effectiveness.
4. To promote chemical reaction:
• Mixing encourage and at the same time control a chemical reaction.
                             APPLICATIONS
Mixing is involved in the preparation of many types of formulations.
Mixing is also an intermediate stage in the production of several dosage forms.
1. Wet mixing in the granulation step in the production of tablets and
   capsules.
2. Dry mixing of several ingredients ready for direct compression as in
   tablets.
3. Dry blending of powders in capsules, dry syrups and compound powders
   (insufflations).
                             In the manufacture of tablets
                       normally a number of additives are added
        Therefore mixing of powders becomes an essential part of the process
     When the dose of the active substance is high (for eg: paracetamol tablets)
                                mixing is not a problem
                   But in case of potent drugs and low dose drugs,
             high amounts of adjuvants (for example lactose) are added.
Therefore, mixing is considered as a critical factor. Otherwise, content uniformity of
         FACTORS AFFECTING MIXING
1. Nature of the surface:
Rough surface of one of the components does not induce satisfactory mixing
 This can be due to the entry of active substance into the pores of the other
                                 ingredients
         Adding a substance, which will be adsorbed on its surface
                         can decrease aggregation
Eg: addition of aerosil (colloidal silicon dioxide) to zinc oxide.
Thus, a strongly aggregating zinc oxide becomes a fine dusting powder.
which can be mixed easily.
2. Density of particles:
                           Demixing is accelerated when
                     the density of the smaller particle is higher
  This is due to the fact - that dense material always moves downward and settles at
                                        the bottom
3. Particle size:
It is easy to mix two powders having approximately the same particle size
                The variation of the particle size can lead to separation
 because the small particles move downward through the spaces between the bigger
                                     particles.
The powders with mean particle size of less than 100 µm are free flowing, which
facilitates mixing.
4. Particle Shape: The ideal particle is spherical in shape for the purpose of
uniform mixing.
5. Particle Charge: Some particles exert attractive forces due to electrostatic
charges on them. This can lead to separation or segregation.
6. Proportion of materials: The best results can be obtained if two powders
are mixed in equal proportion by weight and by volume.
If there is a large difference in the proportion of two powders
mixing is always done in the ascending order of their weights.
           LIQUID MIXING                              SOLID MIXING
Flow currents are responsible for          Flow currents are not possible.
transporting unmixed material to the
mixing zone adjacent to impeller.
Truly homogeneous liquid phase can be      Product often consists of two or more
observed                                   easily identifiable phases
Small sample size is sufficient to study   Large sample size is required
degree of mixing
Requires low power                         Requires high power
MECHANISM OF SOLID-SOLID MIXING
The principal mechanisms in solid-solid mixing are:
1. CONVECTIVE MIXING
2. SHEAR MIXING
3. DIFFUSIVE MIXING
1. CONVECTIVE MIXING:
• Achieved by the inversion of the powder by using blades or paddles or
  screw element.
• A large mass of material moves from one part to another.
• Convective mixing is referred to as Macromixing.
2. SHEAR MIXING
• The forces of attraction are broken down so that each particle moves on
  its own between regions of different composition and parallel to their
  surface.
• In a particulate mass, the forces of attraction are predominating which
  make the layer slip over one another.
• Such types of attraction forces are predominant among same type of
  particles.
• Shear force reduces these attraction reduce the scale of segregation.
3. DIFFUSIVE MIXING
• It involves the random motion of particles within the powder bed,
  thereby particles change their positions relative to one another.
• Diffusive mixing occurs at the interfaces of dissimilar regions.
• Diffusion is sometimes referred to as micro-mixing.
In the solid-solid mixing operations, four steps are involves.
These are:
1. Expansion of the bed of solids
2. Application of 3-dimensional shear forces to the powder bed.
3. Mix long enough to permit true randomization of particles.
4. Maintain randomization.
The law of mixing appears to follow first order,
                         𝑴 = 𝑨 (𝟏 − 𝒆 −𝒌𝒕)
Where,
M = degree of mixing after time t,
T = time
A and k = constants
A and k depends on the - Mixer geometry
                         Physical characteristics of the powders and
                         Proportion of the material being mixed
                         DEGREE OF MIXING
1. IDEAL MIXING (PERFECT MIXING)
2. ACCEPTABLE MIXING
a) Random mixing
b) Ordered mixing – Mechanical means of ordered mixing
                    Adhesion means of ordered mixing
                    Coating means of ordered mixing
                      STATISTICAL PARAMETERS
1. Arithmetic mean:
Size distribution is calculated.
2. Standard deviation:
Used to know the spread of dispersion.
                        MIXING INDICES
Involves the comparison of SD of sample of a mixture under study with
the estimated standard deviation of a completely random mixture.
It can be expressed -
 CLASSIFICATION OF EQUIPMENT FOR SOLID MIXING
A. Based on flow properties:
1. Free flowing solids: e.g.: V cone blend , Double cone blender
2. Cohesive solids: e.g.: Sigma blender, Planetary mixer
B. Based on scale of mixing:
1. Batch type (small scale): e.g.: Mortar and pestle, V cone blender, Double
cone blender, Ribbon blender, Sigma blender, Planetary paddle, Fluidized
mixer
2. Continuous type (large scale): e.g.: barrel type, zigzag type
Sr.            Nature of mixer                 Examples            Mechanism of
no                                                                   mixing
1          Batch type (small scale)      Mortar pestle         Trituration
2      Tumbling mixers without mixing    Double cone blender   Tumbling action
                   blade                 and V cone blender
                                         without baffles
3     Tumbling mixer with a mixing blade Double cone blender   Tumbling action as
                                         and V cone blender    well as shearing with
                                         with mixing blades    blade
4               Static mixers            Ribbon blender Sigma Stationary shell and
                                         blender Planetary    rotating blade
                                         paddle
5       Air mixers or fluidized mixers   Fluidized mixer       Air supported
                                                               blending
6              Continuous type           Barrel type Zigzag    Rotating shell with
                                         type                  rotating blade
 V CONE BLENDER (TWIN SHELL BLENDER)
Mechanism of mixing: Tumbling action
Construction:
1. Made of either stainless steel or transparent plastic.
2. Smaller models - take a charge of 20 kg and rotate at 35 rpm (revolutions
   per minute)
3. Larger models - takes a charge of about 1 tonne and rotate at 15rpm.
4. The material is loaded through either of the shell hatches.
5. Emptying of the blend is normally done through an apex port.
Working:
The material (to be blended),is loaded approximately 50 to 60 % of its
                             total volume
   As the blender rotates, the material undergoes tumbling motion
   When the V is inverted      the material splits into two portions
This process of dividing and recombining continuously yields ordered
                    mixing by mechanical means.
         Blender speed is the key for mixing efficiency
At high speeds    more dusting or seggregation of fines is possible
        At low speeds    not enough shear may be applied
Advantages:
1. If fragile granules are to be blended twin shell blender is suitable
   because of minimum attrition.
2. They handle large capacities.
3. Easy to clean load and unload.
4. Requires minimum maintenance.
Disadvantages:
1. Twin shell blender needs high headspace for installation.
2. Serial dilution is required for the addition of low dose active
   ingredients.
                 DOUBLE CONE BLENDER
• It is usually charged and discharged through the same port.
• It is an efficient design for mixing powders of different densities.
• These are used mostly for small amounts of powders.
•
• The rate of rotation should be optimum depending on the size and shape of the tumbler
  nature of material to be mixed.
• Commonly the range is 30 to 100 revolutions per minute.
(Working, Advantages and Disadvantages - remains same as that of the V-cone
blender)
                    RIBBON BLENDER
Mechanism of mixing: SHEAR
   Shear is transferred to the powder bed by moving blades(ribbon
               shaped) in a fixed (non- movable) shell
    High shear rates are effective in breaking lumps and aggregates
Convective mixing also occurs as the powder bed is lifted and allowed
             to cascade to the bottom of the container
Note: Shear is caused by one force pushing part of a mixture while another force
pushes a different part of mixture in opposite direction.
Construction:
1. It consists of a non-movable horizontal cylindrical trough (shell) usually
   open at the top.
2. It is fitted with two helical blades, which are mounted on the same shaft
   through the long axis of the trough.
3. The blades have both right and left hand twists.
4. The blades are connected to a fixed speed drive.
5. Ribbon blender is top loading with a bottom discharge port.
6. The trough can be closed with a lid.
Working:
             Powders are introduced from the top of the trough
     Through the fixed speed drive       ribbons are allowed to rotate
           One blade moves the solids slowly in one direction and
            the other moves them quickly in opposite direction
                      The body is covered because
  considerable dust may be evolved during dry blending and granulating
             solution may evaporate during wet granulation
The powders are lifted by a centrally located vertical screw and allowed
     to cascade to the bottom of the container (tumbling action)
The counteracting blades set up high shear and are effective in breaking
                       up lumps or aggregates
      Helical blades move the powders from one end to another
         The final stage of mix represents an equilibrium state
           The blend is discharged from the bottom opening
Applications:
1. Used to mix finely divided solids, wet solids mass, sticky and plastic
   liquids.
2. For liquid-solid and solid-solid mixing.
Advantages:
1. High shear break down aggregates.
Disadvantages:
1. It is a poor mixer because movement of particles is two-dimensional.
2. Dead spot (areas that remain unmixed) are observed.
3. Works at a fixed speed.
                 SIGMA BLADE MIXER
Mechanism of mixing: SHEAR
               The inter-meshing of sigma shaped blades
               creates high shear and kneading actions
Convective mixing is achieved by cascading the material.
Construction:
1. It consists of a trough shaped stationary bowl.
2. Two sigma (indicating the shape of the Greek letter) shaped blades
   are fitted horizontally in each trough of the bowl.
3. These are connected to a fixed speed drive.
4. The mixer is loaded from the top and unloaded by tilting the entire
   bowl by means of a rack-and-pinion drive.
Working:
           Powders are introduced from the top of the trough
 The body is covered because dust may be evolved during dry blending
   and granulating solution may evaporation during wet granulation
  Through the fixed speed drive the sigma blades are allowed to rotate
                 The blades rotate at different speeds
              One usually about twice the speed of other
             Resulting in lateral pulling of the material
Blades turn towards each other so that the powders move from the sides to the
                             centre of the bowl
The material further moves from the top to downwards over the point and then
            sheared between the blades and the wall of the trough
Thus cascading action (convective) as well as shear action can be achieved
  By means of a rack-and-pinion drive the bowl is tilted to empty the blend
Applications:
1. It is used in wet granulation process in the manufacture of tablets,
   pill masses and ointments.
2. Primarily used for liquid-solid mixing.
Advantages:
1. Creates a minimum dead space during mixing.
Disadvantages:
1. Works at a fixed speed.
               PLANETARY MIXER
Principle:
 The blade tears the mass apart and shear is applied between a moving
                      blade and a stationary wall
The mixing arm moves in two ways around its own axis and around the
        central axis so that it reaches every spot of the vessel
 The plates in the blade are sloped so that the powder makes an upward
                                movement
       Therefore, tumbling (convective) motion is also obtained
Construction:
1. It consists of a vertical cylindrical shell, which can be removed
   either by lowering it beneath the blade or raising the blade above the
   bowl.
2. The mixing blade is mounted upon the top of the bowl.
3. The mixing shaft is driven by a planatery gear.
4. It rotates around the ring gear, which further rotates round the mixer
   blade.
Working:
                   Agitator has a planetary motion
 It rotates on its own and around the central axis so that it reaches all
                           parts of the vessel
 Beater is shaped to pass over the side and bottom of the mixing bowl
      Therefore, there are no dead spaces in the mixing bowl
The blade tears the mass apart and shear is applied between the moving
                     blade and the stationary wall
The plates in the blade are sloped so that the powder makes an upward
                               movement
     Therefore, tumbling (convective) motion is also obtained
 Emptying the bowl may be done by hands (scooping) or by dumping
                          mechanism.
Applications:
1. Low speeds are used for dry blending and faster speeds for wet
   granulation.
2. Steam jacketed bowls are used in the manufacture of sustained
   release products and ointments.
Advantages:
1. Speed of the rotation can be varied.
2. No dead space.
Disadvantages:
1. Mechanical heat is built up within the powder mix.
2. Requires high power.
3. For batch process only.
 MECHANISM OF LIQUID-LIQUID MIXING
1. Bulk transport:
Movement of large portion of a material from one location to another
location in a give system.
Rotating blades and paddles are used.
2. Turbulent mixing:
Highly effective, mixing is due to turbulent flow which results in
random fluctuation of the fluid velocity at any given point within the
system.
Fluid velocity at a given point changes in 3 directions (X, Y and Z).
3. Laminar mixing:
Mixing of two dissimilar liquids through laminar flow, i.e., applied
shear stretches the interface between them.
Suitable for liquids which require moderate mixing.
4. Molecular diffusion: Mixing at molecular level in which molecules
diffuse due to thermal motion.
General Equipment For Liquid Liquid Mixing
               Mixing Device - IMPELLERS
Based on shape and pitch, they are classified into 3 types,
1. PROPELLERS
2. TURBINES
3. PADDLES
                         PROPELLERS
• A three bladed design is the most common for liquids.
• Propellers may be either right or left handed, depending on the direction
  of slant of their blades.
For deep tank - Two are more propellers are used.
These work in opposite directions to create a zone of high turbulence.
For low viscous liquids - Size of propeller is smaller.
Small size propellers can rotate up to 8000rpm and produce longitudinal
movement.
For large tanks - propeller size increased upto 0.5 metres maximum.
Advantages of propellers:
1. Used when high mixing capacity is required.
2. Effective for liquids which have maximum viscosity of 2.0 pascals.sec
   or slurry up to 10% solids of fine mesh size.
Disadvantages of propellers:
1. Propellers are not normally effective with liquids of viscosity greater
than 5pascal.second such as glycerin castor oil.
                             TURBINES
• A turbine consists of a circular disc to which a number of short blades are
  attached.
• Blades may be straight or curved.
• The diameter of the turbine ranges from 30-50% of the diameter of the vessel.
• Turbines rotates at a lower speed than the propellers (50-200rpm).
• Flat blade turbines - produce radial and tangential flow but as the speed
  increases radial flow dominates.
• Pitched blade - turbine produces axial flow.
      Shear produced by turbines can be further enhanced by
using a diffuser ring (stationary perforated ring which surrounds the
                               turbine)
 Diffuser ring increase the shear forces as liquid passes through the
                             perforations
Advantages of turbines:
1. Suitable for emulsification.
2. Effective for high viscous solutions with a wide range of viscosities
   up to 7.0 Pascal. Second
3. They can handle slurries with 60% solids.
                               PADDLES
• A paddle consists of a central hub with long flat blades attached to it
  vertically.
• Two blades or four blades are common sometimes the blades are pitched
  and may be hemispherical in shape.
• Paddles rotates at a low speed of 100rpm.
• They push the liquid radially and tangentially with almost no axial
  action unless blades are pitched.
Advantages of paddles:
1. Paddles are used in the manufacture of antacid suspensions, agar and
pectin related purgatives, antidiarrheal mixtures such as bismuthkaolin.
2. Vortex formation is not possible because of low speed mixing.
possible with paddle.
Disadvantages of paddles:
1. Mixing of the suspension is poor (therefore baffled tanks are
required)
        MIXING OF IMMISCIBLE LIQUID
1. SILVERSON EMULSIFIER
2. COLLOIDAL MILL
3. RAPISONIC HOMOGENIZER
• Mixing of immiscible liquids is carried 'in pharmacy ' mainly in the manufacturing of
  emulsions.
• The equipment used for the preparation of an emulsion is known as emulsifier
• Fine emulsion can be obtained and therefore, equipment is known as homogenizer
               SILVERSON EMULSIFIER
Principle:
             It produces intense shearing forces and turbulence
                        by use of high speed rotors.
Circulation of material takes place through      the head by the suction
            produced in the inlet at the bottom of the head.
 Circulation of the material ensures rapid breakdown of the dispersed
                     liquid into smaller globules.
Construction:
1. It consists of long supporting columns connected to a motor which
   give support to the head.
2. The central portion contains a shaft one end of which is connected to
   the motor and the other end is connected to the head.
3. The head carries turbine blades.
4. The blades are surrounded by a mesh, which is further enclosed by a
   cover having openings.
Working:
   The emulsifier head is placed in the vessel containing immiscible
liquids (or coarse emulsion) in such a way that it should get completely
                          dipped in the liquid
  When the motor is started the central rotating shaft rotates the head
        which in turn rotates turbine blades at a very high speed
                   This creates a pressure difference
As a result, liquids are sucked into the head from the center of the base
                 and subjected to intense mixing action.
  Centrifugal forces expel the contents of the head with great force
                through the mesh and onto the cover
As a result a fine emulsion emerges through the openings of the outer
                                cover
              The intake and expulsion of the mixture
set up a pattern of circulation to ensure rapid breakdown of the bigger
                     globules into smaller globules.
Uses:
1. Used for the preparation of emulsions and creams of fine particle size.
Advantages:
1. Silver son mixer is available in different sizes to handle the liquids
ranging from a few milli liters to several thousand liters.
2. Can be used for batch operations as well as for continuous operations by
incorporating into a pipeline, through which the immiscible liquids flow.
Disadvantages:
1. Occasionally, there is a chance is clogging of pores of the mesh.