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BP304T - Pharmaceutical Engineering: Unit I
Topics covered: Flow of Fluids | Size Reduction | Size Separation
PART 1: FLOW OF FLUIDS
What is a Fluid?
A fluid is any substance that cannot permanently resist distortion - it flows under applied stress. Fluids include both liquids and gases. When layers of a fluid slide over one another under shear stress, this sliding continues until a new shape is reached; once at rest, all shear stresses vanish.
Key property: The density of a fluid changes with temperature and pressure. Liquids are largely incompressible (density unaffected by moderate pressure), while gases are highly compressible.
Types of Manometers
Manometers measure fluid pressure. Types used in pharmaceutical engineering:
| Type | Description |
|---|
| Simple (U-tube) Manometer | A U-shaped tube filled with a manometric liquid (e.g., mercury). Pressure difference is read from the height difference in the two limbs. |
| Differential Manometer | Measures pressure difference between two points in a pipeline. |
| Inverted U-tube Manometer | Used for low-pressure differences; manometric fluid is lighter than the process fluid. |
| Inclined Manometer | The tube is inclined to amplify small pressure differences, giving better accuracy. |
| Micromanometer | For measuring very small pressure differences. |
Reynolds Number (Re)
Reynolds number is a dimensionless number that predicts the nature of fluid flow.
Formula:
Re = (ρ × v × D) / μ
Where:
- ρ = density of fluid (kg/m³)
- v = velocity of fluid (m/s)
- D = diameter of pipe (m)
- μ = dynamic viscosity (Pa·s)
Significance:
- Re < 2100 → Laminar (streamline) flow - fluid moves in parallel layers, no mixing between layers
- Re = 2100-4000 → Transitional flow
- Re > 4000 → Turbulent flow - fluid moves in an irregular, chaotic pattern with eddies
In pharmaceutical manufacturing, laminar flow is preferred in sterile manufacturing (e.g., laminar flow cabinets), while turbulent flow is useful for mixing operations.
Bernoulli's Theorem
Bernoulli's theorem states that for an ideal, incompressible, non-viscous fluid in steady flow, the total energy per unit mass remains constant.
The three forms of energy:
- Pressure energy = P/ρ
- Kinetic energy = v²/2
- Potential energy = gh
Bernoulli's Equation:
P/ρ + v²/2 + gh = constant
Or in terms of "heads":
Pressure head + Velocity head + Datum head = Constant
Applications in pharmacy:
- Design of fluid transport systems (pipes, pumps)
- Basis for flow measurement devices (orifice meter, venturi meter, pitot tube)
- Explaining flow through constrictions in pipelines
Energy Losses in Fluid Flow
When real fluids flow through pipes, energy is lost due to:
- Friction losses (major losses) - due to viscosity of fluid against pipe walls (Darcy-Weisbach equation)
- Minor losses - due to:
- Sudden enlargement or contraction of pipe
- Bends, elbows, valves, fittings
- Entrance and exit losses
Flow Measurement Devices
1. Orifice Meter
- Principle: A circular plate with a central hole (orifice) is placed in the pipe. Flow creates a pressure drop across it. By measuring this pressure drop, flow rate is calculated (Bernoulli's theorem).
- Construction: Flat plate with beveled-edge circular hole, fitted between flanges.
- Merits: Simple, cheap, no moving parts.
- Demerits: High permanent pressure loss, susceptible to wear, not suitable for slurries.
2. Venturi Meter
- Principle: Based on Bernoulli's theorem. The pipe converges to a throat (narrower section), then diverges. The pressure difference between inlet and throat gives the flow rate.
- Construction: Converging section + cylindrical throat + diverging section (recovery cone).
- Merits: Low pressure loss (about 10-20% of differential), accurate, suitable for large flows.
- Demerits: Expensive, requires long installation space.
3. Pitot Tube
- Principle: Measures the velocity of fluid at a point. One tube faces the flow (stagnation pressure) and one is perpendicular (static pressure). The difference = velocity head.
- Construction: Two concentric tubes - inner tube faces upstream, outer tube has side holes.
- Merits: No pressure loss, simple, can measure velocity profile across the pipe.
- Demerits: Measures only point velocity (not average), not suitable for dirty/corrosive fluids.
4. Rotameter (Variable Area Meter)
- Principle: A float rises inside a tapered (wider at top) vertical tube. The float rises until the upward drag force equals its weight. The position of float indicates the flow rate.
- Construction: Vertical tapered glass tube, float (plummet) inside.
- Merits: Direct reading, constant and small head loss, wide range of flow rates, suitable for corrosive liquids (glass/PTFE).
- Demerits: Must be vertically mounted, not suitable for opaque fluids (unless special design), fragile (glass).
PART 2: SIZE REDUCTION
Definition
Size reduction (comminution) is the process of mechanically reducing solid materials to smaller particles using external forces (impact, attrition, cutting, compression).
Objectives of Size Reduction
- Increases surface area - faster dissolution rate (e.g., micronized griseofulvin shows ~5x better absorption)
- Produces narrow particle size range - improves mixing uniformity
- Required for pharmaceutical suspensions - reduces sedimentation rate
- Required for capsules, suppositories, ointments, insufflations - particles must be below 60 µm
- Improves extractability of plant drugs
Mechanisms of Size Reduction
- Impact - particle is hit by a fast-moving object (e.g., hammer mill)
- Attrition - particle is rubbed between surfaces (e.g., fluid energy mill)
- Compression (crushing) - particles are compressed between two surfaces
- Cutting - particles are sheared by a sharp blade
Laws Governing Size Reduction
Three empirical laws describe the energy required:
| Law | Formula | Applicability |
|---|
| Kick's Law | E = Kk × log(Df/Dp) | Coarse grinding (>50 mm → few mm) |
| Rittinger's Law | E = Kr × (1/Dp - 1/Df) | Fine grinding (surface area increase dominates) |
| Bond's Law | E = Kb × (1/√Dp - 1/√Df) | Intermediate grinding |
Where E = energy input, Df = initial particle diameter, Dp = final particle diameter.
Factors Affecting Size Reduction
- Hardness of the material
- Toughness - resistant to fracture
- Stickiness - sticky materials clog mills
- Softening/melting temperature - heat generated during milling can melt low-melting materials
- Moisture content - wet materials are tough and sticky
- Particle size required - finer the product, more energy needed
- Fibrous nature - difficult to reduce by impact
Size Reduction Equipment
1. Hammer Mill
- Principle: Impact
- Construction: Rotor with swinging hammers attached, surrounded by a metal casing; screen at bottom controls particle size.
- Working: Material is fed in, hammers impact particles at high speed, broken particles exit through the screen.
- Uses: Dry granulation, milling of crude drugs, starch, sugar.
- Merits: Versatile, high capacity, easy to clean.
- Demerits: Not suitable for hard abrasive materials; generates heat; not for sticky materials.
2. Ball Mill
- Principle: Impact + attrition
- Construction: Horizontal rotating cylinder filled with balls (steel or porcelain), 30-50% of cylinder volume.
- Working: As the cylinder rotates, balls cascade and grind the material between them. Critical speed = speed above which balls stick to wall without grinding.
- Uses: Very fine grinding of hard materials; pharmaceutical suspensions; pigments.
- Merits: Can operate in closed circuit; suitable for hard materials; can work in sterile conditions (sealed).
- Demerits: Slow, noisy, generates heat, not for sticky or heat-sensitive materials.
3. Fluid Energy Mill (Jet Mill)
- Principle: Attrition + impact between particles
- Construction: Loop-shaped chamber; high-pressure jets of air/gas at points around the loop.
- Working: Compressed gas at high velocity (300-500 m/s) carries particles around the loop, particles collide with each other and with the walls, achieving ultra-fine grinding. Classifier built in - only fine particles exit.
- Uses: Micronization of steroids, antibiotics, cytotoxics; heat-sensitive materials.
- Merits: Produces ultra-fine particles (1-10 µm); no heat generation (gas expands and cools); sterile milling possible.
- Demerits: High energy consumption; not for hard abrasive materials; expensive.
4. Edge Runner Mill (Roller Mill)
- Principle: Compression + attrition
- Construction: Heavy cylindrical runners (rollers) rotating on a flat circular bed (pan).
- Working: Material placed on the pan is ground by the weight and rotation of the rollers.
- Uses: Wet grinding; ointments; pigments; soft materials.
- Merits: Suitable for wet or dry grinding; good for pastes.
- Demerits: Slow; limited to moderate fineness; not for hard materials.
5. End Runner Mill
- Principle: Compression + attrition
- Construction: Vertical pestle rotating in a mortar-shaped bowl.
- Working: Rotating pestle grinds material against the mortar bowl.
- Uses: Small-scale grinding of hard brittle materials; similar to edge runner but vertical orientation.
- Merits: Suitable for small batches.
- Demerits: Slow; limited capacity.
PART 3: SIZE SEPARATION
Definition
Size separation (sieving/screening/classification) is a unit operation that separates a mixture of particles of varying sizes into fractions of narrow size range using screening surfaces.
Based on physical differences between particles: size, shape, and density.
Objectives of Size Separation
- After size reduction, particles vary widely in size - separation produces uniform fractions
- Tablet granulation requires granules within a narrow size range
- Quality control tool for raw material analysis
- Determines particle size distribution for capsule and tablet production
- Optimizes process conditions (method of agitation, milling time)
Official Standards for Powders
Indian Pharmacopoeia (IP) powder grades based on sieve size:
| Grade | Sieve Number | Mesh Size |
|---|
| Coarse powder | Sieve No. 10 | Not less than 95% passes through No. 10 |
| Moderately coarse | Sieve No. 22 | Not less than 95% passes through No. 22 |
| Moderately fine | Sieve No. 44 | Not less than 95% passes through No. 44 |
| Fine powder | Sieve No. 85 | Not less than 95% passes through No. 85 |
| Very fine powder | Sieve No. 120 | Not less than 95% passes through No. 120 |
Size Separation Equipment
1. Sieve Shaker
- Principle: Mechanical agitation to separate particles through sieves of different mesh sizes.
- Construction: Set of sieves (coarsest at top, finest at bottom) mounted on a mechanical shaker.
- Working: Sample placed on the top sieve; machine vibrates for set time; particles pass through progressively finer meshes; each fraction is collected and weighed.
- Uses: Particle size analysis; quality control; production of uniform powder fractions.
- Merits: Simple, cheap, can analyze multiple size fractions simultaneously.
- Demerits: Slow; not suitable for moist or sticky materials; limited for very fine powders.
2. Cyclone Separator
- Principle: Centrifugal force
- Construction: Cone-shaped chamber with tangential inlet at top; central outlet tube at top for fine particles; coarse particle exit at bottom.
- Working: Air-particle mixture enters tangentially at high velocity, creating a spinning vortex. Coarse particles move to the wall and fall to the bottom (outer vortex); fine particles remain in inner vortex and exit from the top.
- Uses: Separates fine particles from air streams; used with fluid energy mills.
- Merits: No moving parts; continuous operation; handles large volumes.
- Demerits: Not effective for very fine particles (<5 µm); efficiency decreases with smaller particle size.
3. Air Separator
- Principle: Combination of centrifugal force + air current
- Construction: Rotating impeller inside a casing; adjustable air flow.
- Working: Ground material enters; rotating air current separates fine particles (carried by air upward) from coarse particles (fall down for regrinding). The cut size is controlled by changing the air speed and rotor speed.
- Uses: Closed-circuit operation with mills; classification of fine powders.
- Merits: Continuous; adjustable cut size.
- Demerits: Requires air handling equipment; not for very cohesive materials.
4. Bag Filter
- Principle: Filtration of fine particles from air using fabric bags.
- Construction: Collection of fabric bags inside a casing; cleaned by shaking or reverse air pulse.
- Working: Air containing fine particles passes through the bags; particles are trapped on the fabric surface; cleaned bags release particles into a collection hopper.
- Uses: Collecting fine dust from milling and drying operations; pollution control.
- Merits: Very efficient for fine particles; can recover valuable material.
- Demerits: Requires regular cleaning/replacement of bags; high pressure drop.
5. Elutriation Tank
- Principle: Separation by upward moving air/water current (counter-current)
- Construction: Vertical cylindrical tank; inlet at bottom for fluid (air or water); overflow at top.
- Working: Fluid rises upward; fine particles (terminal velocity < fluid velocity) are carried upward and overflow; coarse particles (terminal velocity > fluid velocity) settle at the bottom. By adjusting fluid velocity, particles of different sizes can be separated.
- Uses: Separation of light fine particles from heavy coarse ones; wet classification.
- Merits: Gentle on fragile particles; no moving parts.
- Demerits: Requires large volumes of fluid; slow process.
Quick Revision Summary
| Topic | Key Formula/Concept |
|---|
| Reynolds number | Re = ρvD/μ; <2100 laminar, >4000 turbulent |
| Bernoulli's theorem | P/ρ + v²/2 + gh = constant |
| Orifice meter | High pressure drop; cheap; based on Bernoulli |
| Venturi meter | Low pressure loss; expensive; based on Bernoulli |
| Pitot tube | Point velocity measurement; no pressure loss |
| Rotameter | Float position = flow rate; variable area |
| Kick's law | Coarse grinding; energy ∝ log ratio |
| Rittinger's law | Fine grinding; energy ∝ change in 1/diameter |
| Bond's law | Intermediate grinding |
| Hammer mill | Impact; general purpose |
| Ball mill | Impact + attrition; fine grinding |
| Fluid energy mill | Attrition; micronization; heat-sensitive drugs |
| Cyclone separator | Centrifugal; no moving parts |
| Elutriation tank | Counter-current fluid; gentle separation |
Recommended Books for deeper study:
- Pharmaceutical Engineering by C.V.S. Subrahmanyam et al. (Vallabh Prakashan)
- Unit Operations of Chemical Engineering by McCabe & Smith
- Lachman/Lieberman's Theory and Practice of Industrial Pharmacy
- Introduction to Chemical Engineering by Badger & Banchero