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Home / notes / Industrial Automation and Control Unit 5 Notes – AKTU B.Tech 5th Semester

Industrial Automation and Control Unit 5 Notes – AKTU B.Tech 5th Semester

Study Industrial Automation and Control Unit 5 notes for AKTU B.Tech. Covers pneumatics, gas laws, compressors, FRL, cylinders and valves with diagrams.

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Industrial Automation and Control Unit 5 Notes explain how compressed air produces and controls industrial motion. The unit, Pneumatics in Automation, connects gas laws, pressure, flow and moisture control with compressors, air dryers, receivers, FRL service units, cylinders and directional valves.

These notes are for AKTU B.Tech 5th Semester EE and EN students studying BEE053. Labelled diagrams, operating sequences, comparison tables and worked numerical examples explain the complete path from atmospheric air intake to actuator movement.

Topics Covered

Topic Topic
5.1 Introduction to pneumatics 5.15 Service unit: FRL
5.2 Role in industrial automation 5.16 Filter and regulator operation
5.3 Pressure, temperature and air flow 5.17 Single-acting actuators
5.4 Boyle’s law 5.18 Double-acting actuators
5.5 Charles’s law and combined gas law 5.19 Cylinder force and bore selection
5.6 Scientific context of the laws 5.20 Speed, stroke time and air use
5.7 Bernoulli equation 5.21 Directional-valve notation
5.8 Absolute and relative humidity 5.22 Two-port, two-position valves
5.9 Atmospheric and pressure dew point 5.23 Three-port, two-position valves
5.10 Complete pneumatic system 5.24 Single-acting actuator circuit
5.11 Compressor construction and working 5.25 Double-acting control with two 3/2 valves
5.12 Aftercooler and moisture separation 5.26 Valve–actuator problems and faults
5.13 Air dryers 5.27 Worked automation station
5.14 Air tank or receiver 5.28 Revision and examination practice

5.1 Introduction to Pneumatics

Pneumatics uses compressed gas, usually air, to transmit and control power. An electric motor drives a compressor, prepared air passes through pipes and valves, and an actuator converts pressure energy into useful motion.

A pneumatic cylinder produces linear movement. Air leaving its working chamber normally exhausts to atmosphere. The piston moves when the net pressure force exceeds the opposing load, friction and any return-spring force.

Pressure establishes force potential; delivered air flow largely determines attainable speed.

Power, Control and Feedback

Path Main elements Function
Power Compressor, treatment equipment, receiver, pipes, valve and actuator Produce, prepare, route and use compressed air
Control Pushbutton, mechanical roller, pneumatic pilot or electrical solenoid Change valve state
Feedback Position sensors and PLC inputs Confirm actuator or process condition
Pneumatic Power and Control Paths
Air preparation and valve routing connect compressed-air production with useful actuator motion.

An equipment sketch shows physical construction and connections. A circuit symbol represents function; it need not resemble the actual valve body.

To predict movement, trace supply to the working chamber and exhaust from the chamber that must empty. A blocked exhaust can stop movement even when supply pressure is available.

5.2 Role in Industrial Automation

Pneumatics is used for repeated movements such as clamping, pushing, sorting, gripping and positioning. Cylinders can be installed close to the task while a valve bank centralises their control.

Industry or station Application Main consideration
Packaging Carton pusher and stopper Stroke time and impact
Assembly Part clamping and insertion Force and alignment
Material handling Diverter and gripper Detection and grip
Machine tools Fixture actuation Holding requirement
Process equipment Valve actuation Defined loss-of-air state
Cylinder-Operated Vertical Clamp
A guided cylinder applies force to a workpiece supported on a rigid base.

Advantages

  • Readily available working medium.
  • Rapid cycling with simple actuators.
  • Convenient integration with solenoid and PLC control.
  • Local exhaust without a hydraulic liquid-return circuit.
  • Compact equipment for short repetitive strokes.

Limitations

  • Air compressibility causes compliance and load-dependent motion.
  • Precise positioning requires suitable feedback and design.
  • Compression consumes electrical energy.
  • Leaks continuously waste compressed air.
  • Noise, particles, condensate and lubrication requirements need attention.

Pneumatic and Hydraulic Comparison

Feature Pneumatic system Hydraulic system
Medium Compressible air Low-compressibility liquid
Typical behaviour Fast, compliant motion Stiffer, high-force motion
Outlet path Usually atmosphere Usually tank return
Practical concern Air quality and leakage Fluid condition and leakage

5.3 Pressure, Temperature and Air Flow

Pressure is normal force per unit area:

p = F / A

The SI unit is the pascal: 1 Pa = 1 N/m².

Conversion Value
1 bar 100 kPa
1 MPa 10 bar
1 L 0.001 m³

Gauge and Absolute Pressure

Gauge pressure is measured above local atmospheric pressure. Absolute pressure is measured from vacuum.

p(abs) = p(gauge) + p(atmosphere)

Gauge and Absolute Pressure References
Gauge pressure starts at atmosphere; absolute pressure starts at vacuum.

If line pressure is 6 bar gauge and atmosphere is approximated as 1 bar, line pressure is 7 bar absolute. Use the atmospheric value supplied in a problem; 1 bar is a classroom approximation.

Temperature

Gas-law temperatures must be in kelvin:

T(K) = t(°C) + 273.15

A Celsius temperature ratio is invalid. Heating from 20°C to 40°C does not double absolute temperature.

Flow Vocabulary

Quantity Meaning
Actual volumetric flow Volume per time at specified line conditions
Mass flow Air mass per time
Reference or free-air flow Equivalent volume rate at defined reference conditions

The same air mass occupies a smaller volume at higher absolute pressure. Therefore, actual L/min and reference L/min cannot be interchanged directly.

Use absolute pressure for gas laws and air-consumption conversions. Cylinder force against atmospheric exhaust commonly uses gauge pressure, with opposing pressure and friction treated consistently.

5.4 Boyle’s Law

For a fixed mass of ideal gas at constant temperature, absolute pressure varies inversely with volume:

p₁V₁ = p₂V₂

Thus pV = constant and p ∝ 1/V.

Isothermal Pressure–Volume Relation
Fixed-temperature gas states follow an inverse pressure–volume curve.

Slow, well-cooled compression approximates the isothermal relation better than rapid hot compression.

Worked Example: Compression

Air occupies 12 L at 1 bar absolute and is compressed isothermally to 3 L.

p₂ = p₁V₁ / V₂ = 1 × 12 / 3 = 4 bar absolute

With atmosphere approximated as 1 bar:

Final gauge pressure = 4 − 1 = 3 bar gauge

Worked Example: Expansion

Air initially occupies 2 L at 6 bar gauge. Atmosphere is 1 bar. It expands isothermally to 7 L without losing mass.

  1. Initial absolute pressure = 6 + 1 = 7 bar.
  2. Final absolute pressure = 7 × 2 / 7 = 2 bar.
  3. Final gauge pressure = 2 − 1 = 1 bar.

A cylinder filling through an open supply valve is an open system. Identify the fixed gas mass and states before applying the trapped-gas equation.

5.5 Charles’s Law and Combined Gas Law

Charles’s Law

For a fixed mass at constant absolute pressure, ideal-gas volume is proportional to absolute temperature:

V₁ / T₁ = V₂ / T₂

A volume–temperature graph using kelvin is a straight line through the ideal origin. The extrapolation does not mean real air stays gaseous at every temperature.

Constant-Pressure Volume–Temperature Law
Gas volume increases in proportion to kelvin temperature when mass and pressure remain constant.

Worked Example: Heating

A movable piston contains 2 L of air at 27°C. Pressure remains constant while temperature reaches 87°C.

  • T₁ = 27 + 273.15 = 300.15 K.
  • T₂ = 87 + 273.15 = 360.15 K.
  • V₂ = 2 × 360.15 / 300.15 ≈ 2.40 L.
  • Volume increase ≈ 0.40 L.

Combined Gas Law

For fixed mass:

p₁V₁ / T₁ = p₂V₂ / T₂

This follows from pV = mRT when gas mass and gas constant remain unchanged.

In a sealed rigid vessel, volume is constant. If pressure is 5 bar absolute at 300 K and temperature rises to 330 K:

p₂ = 5 × 330 / 300 = 5.5 bar absolute

This is a constant-volume pressure–temperature relation.

Law Held constant Relation
Boyle Mass and temperature pV = constant
Charles Mass and pressure V/T = constant
Combined Mass pV/T = constant

5.6 Scientific Context of the Laws

Scientists Associated with the Laws
Robert Boyle, Jacques Charles and Daniel Bernoulli are associated with the relationships studied in this unit.
Scientist Associated relationship Application
Robert Boyle Pressure inversely related to volume at fixed temperature Ideal isothermal compression and expansion
Jacques Charles Volume proportional to absolute temperature at fixed pressure Heating or cooling gas with a movable boundary
Daniel Bernoulli Pressure, velocity and elevation in ideal fluid flow Reasoning about restrictions under suitable assumptions

Remember each formula with its conditions:

  • Gas-law pressures are absolute.
  • Gas-law temperatures are in kelvin.
  • The elementary Bernoulli form assumes approximately constant density.

5.7 Bernoulli Equation

For steady, inviscid, incompressible flow along a streamline, with no added shaft work:

p + ½ρv² + ρgz = constant

Symbol Meaning
p Static pressure
ρ Fluid density
v Flow speed
g Gravitational acceleration
z Elevation

All three terms have pressure units.

Restriction and Static-Pressure Taps
A narrower passage increases ideal speed and lowers static pressure under the constant-density assumptions.

At equal elevation:

p₁ + ½ρv₁² = p₂ + ½ρv₂²

For incompressible continuity:

A₁v₁ = A₂v₂

A smaller area raises speed. The ideal model predicts lower static pressure in the throat; real restrictions have losses and incomplete pressure recovery.

Worked Example

Assume air density is constant at 1.2 kg/m³. Speed rises from 10 to 30 m/s at equal elevation.

Pressure decrease = ½ × 1.2 × (30² − 10²) = 480 Pa

This is a static-pressure difference.

Limits in Pneumatics

The principle helps explain restrictions and lubricator oil pickup. Large compressed-air pressure changes require compressible-flow treatment and appropriate equipment data. The elementary incompressible expression cannot give an exact exhaust speed from a high-pressure supply.

5.8 Absolute and Relative Humidity

Atmospheric air already contains water vapour. Compression does not create water; it changes pressure, temperature and vapour concentration per actual volume. Cooling can convert vapour into liquid condensate.

Absolute Humidity

Absolute humidity is water-vapour mass per unit actual air volume:

ρᵥ = mᵥ / V

Units are g/m³ or kg/m³. Specify the air conditions associated with the volume.

If 0.024 kg of vapour occupies 3 m³:

ρᵥ = 0.024 / 3 = 0.008 kg/m³ = 8 g/m³

Relative Humidity

Relative humidity compares actual vapour partial pressure with saturation vapour pressure at the same temperature:

RH = 100 × pᵥ / pₛₐₜ(T)

At saturation, RH is 100%.

If pᵥ = 1.5 kPa and pₛₐₜ = 3.0 kPa:

RH = 100 × 1.5 / 3 = 50%

If saturation pressure later becomes 2.0 kPa while pᵥ stays 1.5 kPa:

RH = 75%

Cooling Toward Saturation
Cooling moist air at fixed pressure raises relative humidity until condensation begins at the dew point.
Feature Absolute humidity Relative humidity
Definition Vapour mass / actual volume Actual / saturation vapour pressure
Unit g/m³ or kg/m³ Percent
Temperature role Air volume and state must be specified Saturation reference changes with temperature

Heating without adding water generally lowers RH. Cooling without removing vapour raises RH until condensation begins.

5.9 Dew Point: ADP and PDP

Dew point is the temperature at which water vapour becomes saturated during cooling at a specified pressure. Further cooling can form liquid water or ice under the relevant conditions.

Feature Atmospheric dew point: ADP Pressure dew point: PDP
Pressure reference Approximately atmospheric pressure Stated compressed-air pressure
Interpretation Moisture state at atmospheric conditions Condensation risk inside a pressurised line
Conversion requirement Vapour relation and pressure Vapour relation and pressure
Dew-Point Pressure References
ADP and PDP describe saturation at different pressures; there is no universal fixed temperature conversion.

For the same vapour mole fraction, increasing total pressure raises vapour partial pressure and generally raises dew point. Expansion to atmospheric pressure generally lowers the corresponding dew point.

Condensation Example

Dryer outlet PDP is +3°C at operating pressure.

  • A downstream line at +15°C is above PDP; cooling to that temperature alone is not expected to condense water vapour.
  • Temperature margin = 15 − 3 = 12°C.
  • A line section at −2°C is below PDP and can collect moisture or ice.

Reheating lowers RH but does not itself remove more water or lower PDP at unchanged pressure.

5.10 Complete Pneumatic System

A typical air path is:

Intake filter → Compressor → Aftercooler → Separator and drain → Receiver → Dryer → Distribution → FR(L) → Directional valve → Actuator

Exact receiver and dryer placement depends on plant design.

Typical Wet-Receiver Installation
This arrangement stores wet compressed air before drying and drains liquid at collection points.
Stage Main job Limitation
Compressor Raise pressure Does not ensure dry, clean air
Aftercooler Remove compression heat Does not guarantee low dew point
Separator and drain Remove liquid condensate Do not remove all vapour
Receiver Store air and buffer demand Storage is finite
Dryer Lower water-vapour content Does not regulate working pressure
FRL or FR Prepare local supply Does not replace all central treatment
Valve and actuator Control and produce motion Position feedback needs sensors

Wet and Dry Receivers

  • Wet receiver: Upstream of the dryer; can collect additional condensate.
  • Dry receiver: Downstream of the dryer; stores treated air.

Both require suitable pressure-rated fittings and appropriate condensate and pressure controls.

Parallel outlines in equipment sketches show physical pipes. Single lines in circuit drawings show functional pneumatic connections.

5.11 Compressor: Construction and Working

A compressor draws atmospheric air and delivers it at higher pressure. A reciprocating compressor uses a crank-driven piston inside a cylinder.

Operating Sequence

Step 1: Suction. The piston increases cylinder volume, reducing pressure below intake pressure. The inlet valve opens while the discharge valve stays closed.

Step 2: Compression. The inlet closes and decreasing cylinder volume raises pressure.

Step 3: Delivery. The discharge valve opens when cylinder pressure sufficiently exceeds delivery-side pressure.

Reciprocating Compressor Delivery Stroke
The rising piston compresses air with the inlet closed and discharge path open.

Compression raises temperature. Downstream cooling, separation and drying prepare the air for use.

Feature Reciprocating compressor Rotary screw compressor
Compression element Piston and cylinder Meshing helical rotors
Delivery Pulsating before buffering Relatively continuous
Common duty Intermittent or selected industrial duty Continuous plant duty
Maintenance focus Valves, rings and mechanism Rotor system and specified oil/filtration

Pressure and Capacity

Pressure rating and flow capacity are different. Delivered flow must cover simultaneous consumption, leakage and suitable reserve. Check whether capacity is quoted as free-air delivery or actual compressed volume rate.

5.12 Aftercooler and Moisture Separation

An aftercooler removes heat from compressed air. As air cools, some water vapour condenses. A separator collects the liquid and a drain removes it.

Air-Cooled Aftercooler and Separator
Heat leaves through the finned cooler; condensate is separated and drained from the air path.
Feature Air-cooled aftercooler Water-cooled aftercooler
Cooling medium Ambient air, often fan-driven Cooling water
Heat path Air passage → fins → ambient Air passage → exchanger wall → water
Important condition Ambient temperature and airflow Water temperature and flow
Fluid separation Compressed air separate from cooling air Compressed air separate from water

Cooling water is not intentionally mixed into the compressed air. Liquid drops in sketches represent condensate, not invisible vapour.

Why an Aftercooler Is Not a Dryer

An aftercooler permits bulk liquid separation but normally leaves vapour. If downstream air falls below its remaining PDP, more condensation can occur. A dryer meets the required dew-point condition.

For excessive outlet temperature, inspect cooling surfaces, fan operation or cooling-water flow. For liquid carryover despite adequate cooling, inspect the condensate drain.

5.13 Air Dryers

An air dryer reduces water-vapour content to meet a specified dew point. Selection depends on pressure, inlet temperature, flow and required PDP.

Refrigerated Dryer

  1. Cool compressed air.
  2. Condense water vapour.
  3. Separate and drain liquid.
  4. Reheat the outlet where the design uses heat recovery.
Refrigerated Dryer with Separate Fluid Paths
Refrigeration cools the air; liquid is separated before outlet reheating.

The moisture removal occurs during cold separation. Reheating lowers outlet RH.

Desiccant Dryer

Desiccant adsorbs water vapour onto its surface. Twin-tower designs alternate a drying bed with a regenerating bed. Regeneration can use purge air, heat or a combined method.

Twin-Tower Adsorption Dryer
One bed dries the main flow while a small dry-air purge regenerates the other bed through a separate exhaust path.
Feature Refrigerated dryer Desiccant dryer
Method Cooling, condensation and separation Vapour adsorption
Usual duty General plant air above freezing Lower-dew-point applications
Requirement Refrigeration and working drain Bed regeneration and protection
Possible fault Poor cooling or drain failure Saturated bed or failed regeneration

Choose PDP below the lowest downstream temperature with an appropriate margin. Filtration removes relevant particles or aerosols; it does not remove all water vapour.

5.14 Air Tank or Receiver

A receiver is a pressure-rated air-storage vessel. It smooths compressor pulsations, buffers short demand peaks and provides pressure monitoring and liquid drainage.

Air Receiver and Functional Fittings
Gauge, relief valve, inlet, outlet, vessel and low-point drain have separate functions.
Fitting Function
Pressure gauge Indicate vessel pressure
Relief valve Limit excessive pressure according to its design and setting
Drain Remove collected liquid
Pressure switch or controller Request compressor start, stop or unloading
Check arrangement Prevent unwanted reverse flow where required

A relief valve is not the normal actuator pressure regulator. A receiver cannot correct a sustained compressor-capacity shortfall.

Air-Release Estimate

At approximately constant temperature, with equal receiver and reference temperatures:

Vref = Vr × (p₁ − p₂) / pref

Use absolute pressures.

For a 100 L receiver falling from 8 to 6 bar absolute, with pref = 1 bar:

Vref = 100 × (8 − 6) / 1 = 200 L

At 100 reference L/min demand, this corresponds ideally to 2 minutes without compressor contribution. Remaining pressure must still meet actuator requirements. Temperature changes and delivery losses affect the practical result.

5.15 Service Unit: FRL

FRL = Filter + Regulator + Lubricator

Normal series order is F → R → L, when lubrication is required. Prelubricated equipment may use an FR arrangement without added oil.

Physical FRL Service Unit
Local supply passes through filtration and regulation, followed by lubrication where specified.
Component Function Inspection or adjustment
Filter Remove specified particles and collected liquid Element, bowl and drain
Regulator Maintain selected downstream pressure within operating limits Setting and downstream pressure
Lubricator Meter oil mist for compatible equipment Correct oil and metering

The filter does not replace vapour drying. A regulator cannot raise outlet pressure above inlet supply. Lubricator use must match equipment requirements.

Assess pressure under relevant flow. A satisfactory static reading does not prove adequate cylinder pressure during a rapid stroke.

5.16 Filter and Regulator Operation

Filter Flow Path

  1. Air enters the separating and filtering region.
  2. The element removes particles according to its rating.
  3. Collected liquid settles in the bowl.
  4. The drain removes accumulated liquid.
  5. Air leaves through the outlet.
Filter Cutaway and Liquid Drain
Air crosses the filtering region while collected liquid leaves through the bowl drain.

Observe the marked flow direction.

Regulator Feedback

A spring setting acts through a diaphragm and valve mechanism. Downstream pressure opposes the spring.

  • When outlet pressure falls during demand, the supply passage opens further.
  • When outlet pressure rises, the passage throttles toward closure.
  • Increasing spring setting tends to increase regulated pressure.
Spring–Diaphragm Pressure Regulation
Spring setting and outlet-pressure feedback control the supply passage.

A relieving regulator can discharge excess downstream pressure through its designated relief path. A non-relieving regulator needs another way to reduce trapped downstream pressure.

Pressure Loss and Regulation

Pressure loss in pipework or a clogged filter reduces usable supply, especially during flow. Regulation deliberately controls outlet pressure. If inlet pressure becomes inadequate, the regulator cannot maintain its setting.

5.17 Single-Acting Actuators

A single-acting cylinder has one pressure-driven working direction. A spring or external force provides return.

In the illustrated spring-return arrangement, cap-end pressure extends the rod and exhaust permits spring retraction.

Single-Acting Spring-Return Cylinder
One working chamber powers extension; the spring returns the piston after exhaust.

Construction

  • Cylinder barrel and end covers.
  • Sealed piston and piston rod.
  • Rod guide and seal.
  • Working air port.
  • Return spring.
  • Appropriate vent on the spring side.

Operation and Force

The piston moves when pressure force exceeds spring force, friction and load. The working chamber must exhaust before free spring return.

With the opposite side at atmosphere:

Available extension force ≈ pgA − Fs − Ff

Symbol Meaning
pg Chamber gauge pressure
A Effective piston area
Fs Opposing spring force
Ff Friction force

Applications include small ejectors, light clamps and stop pins. Some arrangements are spring-extended and pressure-retracted; state the powered direction explicitly.

5.18 Double-Acting Actuators

A double-acting cylinder uses air pressure for extension and retraction. A single-rod cylinder has full piston area at the cap end and smaller annular area at the rod end.

Double-Acting Single-Rod Cylinder
Separate chamber ports allow pressure-powered movement in both directions.
Movement Supplied chamber Exhausted chamber
Extension Cap end Rod end
Retraction Rod end Cap end

Single-Acting and Double-Acting Comparison

Feature Single acting, spring return Double acting, single rod
Working air ports One Two
Powered directions One Both
Return Spring or external force Opposite-chamber pressure
Common control 3/2 valve 5/2 or 4/2 valve, or coordinated 3/2 pair
Force Reduced by opposing spring where applicable Depends on effective areas and opposing pressure

Align the load and rod travel. Use suitable guides for side loads. Cushioning reduces end impact but does not replace correct speed and load selection.

Air compressibility and leakage mean blocked ports do not guarantee rigid, indefinite position holding.

5.19 Cylinder Force and Bore Selection

For bore diameter D and rod diameter d:

Full piston area: Ap = πD² / 4

Rod-side annular area: Aa = π(D² − d²) / 4

Effective Piston Areas
The rod reduces the area available for retraction in a single-rod cylinder.

With the opposite chamber at atmospheric exhaust:

  • Ideal extension force = pgAp.
  • Ideal retraction force = pgAa.

Worked Double-Acting Example

D = 40 mm, d = 16 mm and pg = 6 bar = 600,000 Pa.

Quantity Result
Ap 0.0012566 m²
Aa 0.0010556 m²
Ideal extension Approximately 754 N
Ideal retraction Approximately 633 N

Retraction force is lower because the rod reduces effective area.

Opposing Chamber Pressure

For extension:

Net pressure force = pcAp − prAa

For the same cylinder with cap pressure 6 bar gauge and rod pressure 1 bar gauge:

Net pressure force ≈ 754 − 106 = 648 N, before friction and external load.

Bore Estimate

Required ideal push = 500 N at 5 bar gauge:

A = 500 / 500,000 = 0.001 m²

D = √(4A/π) ≈ 35.7 mm

This is an ideal minimum. Select a suitable standard bore after allowing for friction, opposing pressure and force margin.

5.20 Speed, Stroke Time and Air Use

For actual chamber flow Q and effective area A at approximately constant chamber conditions:

v ≈ Q / A

t ≈ L / v

where L is stroke length.

Speed Example

A = 0.001 m² and Q = 12 actual L/min.

  1. Q = 12 × 0.001 / 60 = 0.0002 m³/s.
  2. v = 0.0002 / 0.001 = 0.2 m/s.
  3. For L = 0.1 m, t = 0.1 / 0.2 = 0.5 s.
Cylinder Motion Profile
A real stroke includes acceleration, approximate cruise motion and end-of-stroke slowing.

Valve limits, filling transients, load and cushioning affect real stroke time. Convert reference flow to chamber conditions before using it as actual flow.

Reference-Air Consumption

For equal chamber and reference temperatures:

Vref ≈ Vswept × p(abs) / pref

For a double-acting cycle, add both chamber swept volumes.

For D = 40 mm, d = 16 mm and L = 100 mm:

  • Cap-end swept volume ≈ 0.1257 L.
  • Rod-end swept volume ≈ 0.1056 L.
  • At 6 bar gauge and 1 bar atmosphere, pressure ratio = 7.
  • Ideal reference consumption = (0.1257 + 0.1056) × 7 ≈ 1.62 L/cycle.
  • At 20 cycles/min, ideal demand ≈ 32.4 reference L/min.

Practical estimates include dead space, tubing, leaks and real control behaviour. A complete cycle contains extension and retraction.

5.21 Directional-Valve Notation

The first number gives principal ports; the second gives switching positions.

  • 2/2: Two ports and two positions.
  • 3/2: Three ports and two positions.

Pilot connections are not counted as extra principal working ports.

Reading a Spring-Return Directional Symbol
Adjacent squares represent states of one valve; the spring-adjacent square is the normal state.
Port number Common letter Function
1 P Pressure supply
2 A Working outlet
3 R Exhaust for a 3/2 valve

Arrows inside a square show open paths. Short terminating bars show blocked ports. External connections are conventionally shown at the normal-state square.

NC and NO describe the normal supply-to-working-port path. A 3/2 NC valve can still connect A to R normally.

Actuation may be manual, mechanical, solenoid or pneumatic pilot. A spring-return monostable valve returns after command removal when operating conditions permit.

5.22 Two-Port, Two-Position Valves

A 2/2 valve opens or closes the path between ports 1 and 2.

Normally Closed and Normally Open 2/2 Valves
Two-port valves switch a passage without a dedicated exhaust port.
Command 2/2 NC 2/2 NO
Unactuated Ports 1 and 2 blocked 1 connected to 2
Actuated 1 connected to 2 Ports 1 and 2 blocked

Applications include air-branch admission and air-jet switching. Selection depends on pressure, flow, medium and specified reverse-flow behaviour.

Trapped-Air Limitation

Closing a 2/2 valve isolates its outlet; it does not automatically vent the downstream chamber.

Trapped Air Behind a Closed 2/2 Valve
A cylinder supplied through a lone shutoff valve has no controlled exhaust path through that valve.

A spring-return cylinder may stay extended or return incompletely if air remains trapped. An additional controlled exhaust route changes the circuit beyond a lone 2/2 shutoff.

Air-Nozzle Example

For an NC 2/2 valve:

  1. No command: Supply is blocked.
  2. Command present: Supply reaches the nozzle.
  3. Command removed: Supply stops; residual line air can escape through the open nozzle.

The nozzle provides the residual discharge path; the valve has not acquired an exhaust port.

5.23 Three-Port, Two-Position Valves

A 3/2 valve switches its working outlet between supply and exhaust.

Normally Closed and Normally Open 3/2 Valves
The working port alternates between P supply and R exhaust.
Condition 3/2 NC 3/2 NO
Unactuated 2→3; port 1 blocked 1→2; port 3 blocked
Actuated 1→2; port 3 blocked 2→3; port 1 blocked

Why Exhaust Matters

Connecting A to R allows a cylinder chamber to empty. A spring or external load can then return the piston. Restricted exhaust creates backpressure and can slow or prevent return.

For a pressure-extended, spring-retracted cylinder:

  • 3/2 NC: Command ON supplies extension; command OFF permits exhaust and return.
  • 3/2 NO: The normal state supplies air; operating the valve vents the chamber.

Read command logic with the hardware normal state.

2/2 and 3/2 Comparison

Feature 2/2 valve 3/2 valve
Ports Supply and outlet Supply, working outlet and exhaust
Action Open or block passage Supply or exhaust working port
Dedicated outlet vent Absent Available in exhaust state
Single-acting control Needs an appropriate additional return path Direct supply-and-exhaust control

5.24 Single-Acting Actuator Circuit

Connect prepared air to P, the working chamber to A, and an appropriate exhaust path to R.

Spring-Return Cylinder with a 3/2 NC Valve
The normal valve state vents the chamber so the cylinder spring can return the rod.

Operating Sequence

Step 1: Normal state. P is blocked and A connects to R. The spring holds or returns the rod inward.

Step 2: Command applied. P connects to A. Air fills the working chamber and extends the rod if net force is sufficient.

Step 3: Command removed. A reconnects to R. Chamber air exhausts and the spring retracts the rod.

Command and Rod-Position Sequence
Motion takes finite time after a valve command changes.

Worked Force Problem

D = 25 mm, chamber pressure = 5 bar gauge, spring force = 35 N and friction = 10 N.

  • A = π(0.025)²/4 = 0.0004909 m².
  • Pressure force = 500,000 × 0.0004909 ≈ 245 N.
  • Available push ≈ 245 − 35 − 10 = 200 N.

A 220 N load will not be driven with these assumed values.

Return-Failure Checks

If the cylinder extends but does not retract, check valve reset, A-to-R passage, exhaust silencer, spring force, load and mechanical alignment.

5.25 Double-Acting Control with Two 3/2 Valves

Double-acting motion needs supply to one chamber and exhaust from the other. Common industrial control uses a 5/2 or 4/2 valve. Two coordinated NC 3/2 valves can demonstrate the same chamber-routing requirement, one valve per chamber.

Two Coordinated 3/2 NC Valves
Each chamber has a valve; interlocked commands supply one chamber while the other exhausts.

Command-State Table

Here C is the cap-valve command and R is the rod-valve command.

C R Air state
0 0 Both chambers exhaust; no pneumatic holding
1 0 Cap supplied, rod exhausted: extend
0 1 Cap exhausted, rod supplied: retract
1 1 Both supplied; avoid as the normal reversal state

Equal pressure in both chambers does not lock a single-rod piston centrally. Unequal effective areas produce a net pressure force toward extension before load and friction are considered.

Coordination

Prevent unintended simultaneous commands and define command-loss behaviour. Reversal requires removing the cap supply command and applying the rod supply command. Pressure changes are not instantaneous.

Coordinated Double-Acting Commands
Extension and retraction commands are distinct; both OFF vents both chambers and does not provide rigid holding.

Logic Example

With C = 0 and R = 1:

  • Cap chamber → cap-valve exhaust.
  • Supply → rod valve → rod chamber.
  • Requested motion: Retraction.

A blocked cap exhaust can reduce retracting force or stop movement despite the correct command.

5.26 Valve–Actuator Problems and Faults

Required Pressure

A spring-return cylinder needs a net 150 N push. Bore is 25 mm, spring force 30 N and friction 15 N.

Required pressure force = 150 + 30 + 15 = 195 N

Required chamber pressure = 195 / 0.0004909 ≈ 397 kPa = 3.97 bar gauge

Upstream pressure must also cover valve and line losses. An upstream setting of exactly 3.97 bar does not guarantee that chamber pressure during a rapid stroke.

Exhaust Backpressure

Ap = 0.001 m², Aa = 0.0008 m², cap pressure = 5 bar gauge and rod pressure = 1.5 bar gauge.

Net pressure force = 500,000 × 0.001 − 150,000 × 0.0008 = 380 N

With 30 N friction:

Available drive ≈ 350 N

Required Flow

Required speed = 0.15 m/s and area = 0.002 m².

Q = Av = 0.002 × 0.15 = 0.0003 m³/s = 18 actual L/min

Compare with valve ratings only after accounting for pressure, temperature and reference conditions.

Observation Check Reason
No extension Supply, valve state and load Insufficient usable chamber force
No return Exhaust, spring and alignment Trapped air or mechanical resistance
Slow both ways Filter, pipe and valve capacity Restricted flow
Water at exhaust Dryer and drains Inadequate moisture treatment
Erratic force Dynamic pressure and leakage Variable available pressure
Failed Return-Stroke Diagnosis
Check command removal, normal valve state, chamber exhaust and mechanical return force in sequence.

5.27 Worked Automation Station

A conveyor detects a carton and operates a pneumatic pusher. The double-acting cylinder diverts the carton into a side lane, retracts and enables the next cycle.

Carton-Diverting Station
The PLC commands the valve system; position feedback confirms extension and return.

Operating Sequence

  1. Ready: Rod is home, push zone is clear and adequate pressure is available.
  2. Detect and position: Identify the carton and pause conveyor permission where required.
  3. Extend: Command the pusher through the valve system.
  4. Confirm: Extended-position feedback confirms the push; apply a suitable dwell if needed.
  5. Retract: Reverse the chamber routing.
  6. Reset: Wait for home feedback before permitting the next carton.

A timeout indicates incomplete commanded movement. It does not identify the cause by itself. Inspect supply, exhaust, valve, load and feedback paths.

Air-Demand Estimate

D = 32 mm, d = 12 mm, L = 80 mm, pressure = 5 bar gauge, atmosphere = 1 bar and equal temperatures.

  • Ap ≈ 0.0008042 m².
  • Aa ≈ 0.0006912 m².
  • Cycle swept volume = (Ap + Aa) × 0.08 ≈ 0.1196 L.
  • Absolute-pressure ratio = 6.
  • Ideal reference use = 0.1196 × 6 ≈ 0.718 L/cycle.
  • At 30 cycles/min, demand ≈ 21.5 reference L/min.

Add tubing, dead-space, leakage and real-cycle allowances. Multiple stations require assessment of peak flow as well as average demand.

5.28 Quick Revision and Examination Practice

Essential Revision Points

  • Pneumatics uses compressed air for power and motion.
  • Pressure establishes force potential; actual flow influences speed.
  • Boyle’s law holds temperature and mass constant.
  • Charles’s law holds pressure and mass constant.
  • Gas-law calculations require absolute pressure and kelvin.
  • Bernoulli’s elementary equation has constant-density limitations.
  • Absolute humidity is vapour mass per volume; RH is a saturation ratio.
  • ADP and PDP refer to different pressure conditions.
  • Aftercooling and separation remove heat and liquid; drying reduces vapour.
  • Receivers buffer demand with finite stored air.
  • FRL order is filter, regulator and lubricator where lubrication is required.
  • Single-acting cylinders have one powered direction; double-acting cylinders have two.
  • Rod-side area is smaller than full piston area in a single-rod cylinder.
  • A lone 2/2 shutoff does not provide a controlled exhaust port.
  • A 3/2 NC valve normally connects A to R and blocks P.
  • Correct double-acting control supplies one chamber while exhausting the other.
  • Feedback confirms movement; elapsed time alone does not prove stroke completion.

Important Formulas

Task Working relation
Pressure p = F/A
Absolute pressure p(abs) = p(gauge) + p(atmosphere)
Kelvin conversion T = t(°C) + 273.15
Boyle’s law, fixed temperature p₁V₁ = p₂V₂
Charles’s law, fixed pressure V₁/T₁ = V₂/T₂
Combined gas law, fixed mass p₁V₁/T₁ = p₂V₂/T₂
Elementary Bernoulli p + ½ρv² + ρgz = constant
Absolute humidity ρᵥ = mᵥ/V
Relative humidity RH = 100pᵥ/pₛₐₜ(T)
Full piston area Ap = πD²/4
Annular area Aa = π(D² − d²)/4
Net extension pressure force pcAp − prAa
Single-acting available push pgA − Fs − Ff
Approximate speed v = Q(actual)/A
Approximate stroke time t = L/v
Reference swept-volume conversion, equal temperatures Vref ≈ Vswept × p(abs)/pref
Receiver release, constant and equal reference temperature Vref ≈ Vr(p₁ − p₂)/pref

Numerical Practice with Answers

Problem Answer
10 L at 2 bar absolute becomes 4 L isothermally 5 bar absolute
1.5 L at 300 K reaches 360 K at constant pressure 1.8 L
Vapour partial pressure 1.2 kPa; saturation pressure 3 kPa RH = 40%
50 mm bore at 4 bar gauge, opposite side at atmosphere Ideal push ≈ 785 N before friction
3/2 NC released after extension 2→3; port 1 blocked
PDP +2°C; line reaches −5°C at the same pressure Condensation is possible
100 L receiver falls from 8 to 6 bar absolute; 1 bar reference, equal temperatures 200 reference L ideally released
25 mm bore at 5 bar gauge; spring 35 N; friction 10 N Available push ≈ 200 N

Long-Answer Questions

  1. Explain an industrial pneumatic installation with a labelled sketch from compressor to actuator.
  2. State Boyle’s and Charles’s laws with assumptions and worked examples.
  3. Explain the Bernoulli equation and its limitations in compressed-air systems.
  4. Distinguish absolute humidity, relative humidity, ADP and PDP.
  5. Explain reciprocating compressor suction, compression and delivery.
  6. Compare refrigerated and desiccant dryers with labelled diagrams.
  7. Explain receiver functions and distinguish relief from working-pressure regulation.
  8. Explain FRL order, filter construction and regulator feedback.
  9. Compare single-acting and double-acting cylinders and calculate their forces.
  10. Draw 2/2 NC and 3/2 NC normal and operated states.
  11. Explain a spring-return cylinder controlled by a 3/2 NC valve.
  12. Explain coordinated two-3/2 control of a double-acting cylinder with a state table.

Short-Answer Questions

  1. Why do gas laws require absolute pressure?
  2. Why is a Celsius temperature ratio invalid?
  3. Why does an aftercooler not replace a dryer?
  4. Why does reheating lower RH without removing more water?
  5. Why is ideal retracting force lower in a single-rod cylinder?
  6. Why can a cylinder stay extended after a 2/2 valve closes?
  7. Which square shows the normal state of a spring-return valve?
  8. Why does supplying both cylinder chambers not guarantee holding?
  9. Why must reference flow be converted before calculating chamber speed?
  10. Why is position feedback useful in a carton-pushing station?

Frequently Asked Questions

What does Industrial Automation and Control Unit 5 cover?

Unit 5 covers pneumatics in automation: gas and flow laws, humidity and dew point, air preparation, compressors, receivers, FRL units, cylinders and directional control valves.

What is the difference between a single-acting and double-acting cylinder?

A single-acting cylinder uses pressure for one direction and a spring or external force for return. A double-acting cylinder uses pressure for both extension and retraction.

What is the correct FRL sequence?

Filter → Regulator → Lubricator. Add lubrication only when required by the connected equipment; suitable prelubricated components may use FR alone.

Can a 2/2 valve directly provide supply and exhaust for a spring-return cylinder?

A lone 2/2 valve has no dedicated exhaust port. A suitable additional exhaust route is needed; a 3/2 valve provides direct supply-and-exhaust switching.

Why are ADP and PDP different?

They describe moisture saturation at different pressures. Converting between them requires pressure and vapour information rather than a fixed temperature subtraction.

How should a pneumatic circuit be studied?

Identify the valve normal state, trace supply to the active chamber, trace exhaust from the opposite chamber, and check load, friction and return forces. Use consistent units and state pressure and temperature assumptions in calculations.

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